id	sid	tid	token	lemma	pos
iajs-577	1	1	physics	physics	PROPN
iajs-577	1	2	142	142	NUM
iajs-577	1	3	مجلة	مجلة	NOUN
iajs-577	1	4	إبن	إبن	VERB
iajs-577	1	5	الهيثم	الهيثم	ADJ
iajs-577	1	6	للعلوم	للعلوم	NOUN
iajs-577	1	7	الصرفة	الصرفة	NOUN
iajs-577	2	1	و	و	PRON
iajs-577	2	2	التطبيقية	التطبيقية	ADJ
iajs-577	2	3	2012	2012	NUM
iajs-577	2	4	السنة	السنة	NOUN
iajs-577	2	5	25	25	NUM
iajs-577	2	6	المجلد	المجلد	NOUN
iajs-577	2	7	3	3	NUM
iajs-577	2	8	العدد	العدد	PROPN
iajs-577	2	9	ibn	ibn	PROPN
iajs-577	2	10	al	al	PROPN
iajs-577	2	11	-	-	PUNCT
iajs-577	2	12	haitham	haitham	PROPN
iajs-577	2	13	journal	journal	PROPN
iajs-577	2	14	for	for	ADP
iajs-577	2	15	pure	pure	ADJ
iajs-577	2	16	and	and	CCONJ
iajs-577	2	17	applied	apply	VERB
iajs-577	2	18	science	science	NOUN
iajs-577	2	19	no	no	NOUN
iajs-577	2	20	.	.	NOUN
iajs-577	2	21	3	3	NUM
iajs-577	2	22	vol	vol	NOUN
iajs-577	2	23	.	.	PUNCT
iajs-577	3	1	25	25	NUM
iajs-577	3	2	year	year	NOUN
iajs-577	3	3	2012	2012	NUM
iajs-577	3	4	numerical	numerical	PROPN
iajs-577	3	5	simulation	simulation	NOUN
iajs-577	3	6	to	to	PART
iajs-577	3	7	study	study	VERB
iajs-577	3	8	the	the	DET
iajs-577	3	9	effects	effect	NOUN
iajs-577	3	10	of	of	ADP
iajs-577	3	11	riemann	riemann	PROPN
iajs-577	3	12	problems	problem	NOUN
iajs-577	3	13	on	on	ADP
iajs-577	3	14	the	the	DET
iajs-577	3	15	physical	physical	ADJ
iajs-577	3	16	properties	property	NOUN
iajs-577	3	17	of	of	ADP
iajs-577	3	18	the	the	DET
iajs-577	3	19	astrophysics	astrophysic	NOUN
iajs-577	3	20	gas	gas	NOUN
iajs-577	3	21	dynamics	dynamic	NOUN
iajs-577	3	22	l.	l.	PROPN
iajs-577	3	23	y.	y.	PROPN
iajs-577	3	24	s.	s.	PROPN
iajs-577	3	25	al	al	PROPN
iajs-577	3	26	-	-	PUNCT
iajs-577	3	27	mashhadani	mashhadani	PROPN
iajs-577	3	28	department	department	PROPN
iajs-577	3	29	of	of	ADP
iajs-577	3	30	physics	physics	PROPN
iajs-577	3	31	,	,	PUNCT
iajs-577	3	32	college	college	NOUN
iajs-577	3	33	of	of	ADP
iajs-577	3	34	education	education	PROPN
iajs-577	3	35	ibn	ibn	PROPN
iajs-577	3	36	al	al	PROPN
iajs-577	3	37	-	-	PUNCT
iajs-577	3	38	haithem	haithem	PROPN
iajs-577	3	39	,	,	PUNCT
iajs-577	3	40	university	university	PROPN
iajs-577	3	41	of	of	ADP
iajs-577	3	42	baghdad	baghdad	PROPN
iajs-577	3	43	received	receive	VERB
iajs-577	3	44	in	in	ADP
iajs-577	3	45	:	:	PUNCT
iajs-577	3	46	26	26	NUM
iajs-577	3	47	september	september	PROPN
iajs-577	3	48	2011	2011	NUM
iajs-577	3	49	accepted	accept	VERB
iajs-577	3	50	in	in	ADP
iajs-577	3	51	:	:	PUNCT
iajs-577	3	52	26	26	NUM
iajs-577	3	53	february	february	NOUN
iajs-577	3	54	2012	2012	NUM
iajs-577	3	55	abstract	abstract	NOUN
iajs-577	3	56	in	in	ADP
iajs-577	3	57	this	this	DET
iajs-577	3	58	work	work	NOUN
iajs-577	3	59	we	we	PRON
iajs-577	3	60	run	run	VERB
iajs-577	3	61	simulation	simulation	NOUN
iajs-577	3	62	of	of	ADP
iajs-577	3	63	gas	gas	NOUN
iajs-577	3	64	dynamic	dynamic	ADJ
iajs-577	3	65	problems	problem	NOUN
iajs-577	3	66	to	to	PART
iajs-577	3	67	study	study	VERB
iajs-577	3	68	the	the	DET
iajs-577	3	69	effects	effect	NOUN
iajs-577	3	70	of	of	ADP
iajs-577	3	71	riemann	riemann	PROPN
iajs-577	3	72	problems	problem	NOUN
iajs-577	3	73	on	on	ADP
iajs-577	3	74	the	the	DET
iajs-577	3	75	physical	physical	ADJ
iajs-577	3	76	properties	property	NOUN
iajs-577	3	77	for	for	ADP
iajs-577	3	78	this	this	DET
iajs-577	3	79	gas	gas	NOUN
iajs-577	3	80	.	.	PUNCT
iajs-577	4	1	we	we	PRON
iajs-577	4	2	studied	study	VERB
iajs-577	4	3	a	a	DET
iajs-577	4	4	normal	normal	ADJ
iajs-577	4	5	shock	shock	NOUN
iajs-577	4	6	wave	wave	NOUN
iajs-577	4	7	travels	travel	VERB
iajs-577	4	8	at	at	ADP
iajs-577	4	9	a	a	DET
iajs-577	4	10	high	high	ADJ
iajs-577	4	11	speed	speed	NOUN
iajs-577	4	12	through	through	ADP
iajs-577	4	13	a	a	DET
iajs-577	4	14	medium	medium	ADJ
iajs-577	4	15	(	(	PUNCT
iajs-577	4	16	shock	shock	NOUN
iajs-577	4	17	tube	tube	NOUN
iajs-577	4	18	)	)	PUNCT
iajs-577	4	19	.	.	PUNCT
iajs-577	5	1	this	this	PRON
iajs-577	5	2	would	would	AUX
iajs-577	5	3	cause	cause	VERB
iajs-577	5	4	discontinuous	discontinuous	ADJ
iajs-577	5	5	change	change	NOUN
iajs-577	5	6	in	in	ADP
iajs-577	5	7	the	the	DET
iajs-577	5	8	characteristics	characteristic	NOUN
iajs-577	5	9	of	of	ADP
iajs-577	5	10	the	the	DET
iajs-577	5	11	medium	medium	NOUN
iajs-577	5	12	,	,	PUNCT
iajs-577	5	13	such	such	ADJ
iajs-577	5	14	as	as	ADP
iajs-577	5	15	rapid	rapid	ADJ
iajs-577	5	16	rise	rise	NOUN
iajs-577	5	17	in	in	ADP
iajs-577	5	18	velocity	velocity	NOUN
iajs-577	5	19	,	,	PUNCT
iajs-577	5	20	pressure	pressure	NOUN
iajs-577	5	21	,	,	PUNCT
iajs-577	5	22	and	and	CCONJ
iajs-577	5	23	density	density	NOUN
iajs-577	5	24	of	of	ADP
iajs-577	5	25	the	the	DET
iajs-577	5	26	flow	flow	NOUN
iajs-577	5	27	.	.	PUNCT
iajs-577	6	1	when	when	SCONJ
iajs-577	6	2	a	a	DET
iajs-577	6	3	shock	shock	NOUN
iajs-577	6	4	wave	wave	NOUN
iajs-577	6	5	passes	pass	VERB
iajs-577	6	6	through	through	ADP
iajs-577	6	7	the	the	DET
iajs-577	6	8	medium	medium	NOUN
iajs-577	6	9	,	,	PUNCT
iajs-577	6	10	the	the	DET
iajs-577	6	11	total	total	ADJ
iajs-577	6	12	energy	energy	NOUN
iajs-577	6	13	is	be	AUX
iajs-577	6	14	preserved	preserve	VERB
iajs-577	6	15	but	but	CCONJ
iajs-577	6	16	the	the	DET
iajs-577	6	17	energy	energy	NOUN
iajs-577	6	18	which	which	PRON
iajs-577	6	19	can	can	AUX
iajs-577	6	20	be	be	AUX
iajs-577	6	21	extracted	extract	VERB
iajs-577	6	22	as	as	ADP
iajs-577	6	23	work	work	NOUN
iajs-577	6	24	decreases	decrease	NOUN
iajs-577	6	25	and	and	CCONJ
iajs-577	6	26	entropy	entropy	NOUN
iajs-577	6	27	increases	increase	NOUN
iajs-577	6	28	.	.	PUNCT
iajs-577	7	1	the	the	DET
iajs-577	7	2	shock	shock	NOUN
iajs-577	7	3	tube	tube	NOUN
iajs-577	7	4	is	be	AUX
iajs-577	7	5	initially	initially	ADV
iajs-577	7	6	divided	divide	VERB
iajs-577	7	7	into	into	ADP
iajs-577	7	8	a	a	DET
iajs-577	7	9	driver	driver	NOUN
iajs-577	7	10	and	and	CCONJ
iajs-577	7	11	a	a	DET
iajs-577	7	12	driven	drive	VERB
iajs-577	7	13	section	section	NOUN
iajs-577	7	14	by	by	ADP
iajs-577	7	15	a	a	DET
iajs-577	7	16	diaphragm	diaphragm	PROPN
iajs-577	7	17	.	.	PUNCT
iajs-577	8	1	the	the	DET
iajs-577	8	2	shock	shock	NOUN
iajs-577	8	3	wave	wave	NOUN
iajs-577	8	4	is	be	AUX
iajs-577	8	5	created	create	VERB
iajs-577	8	6	by	by	ADP
iajs-577	8	7	increasing	increase	VERB
iajs-577	8	8	the	the	DET
iajs-577	8	9	pressure	pressure	NOUN
iajs-577	8	10	in	in	ADP
iajs-577	8	11	the	the	DET
iajs-577	8	12	driver	driver	NOUN
iajs-577	8	13	section	section	NOUN
iajs-577	8	14	until	until	ADP
iajs-577	8	15	the	the	DET
iajs-577	8	16	diaphragm	diaphragm	NOUN
iajs-577	8	17	bursts	burst	NOUN
iajs-577	8	18	,	,	PUNCT
iajs-577	8	19	sending	send	VERB
iajs-577	8	20	normal	normal	ADJ
iajs-577	8	21	shock	shock	NOUN
iajs-577	8	22	waves	wave	NOUN
iajs-577	8	23	down	down	ADP
iajs-577	8	24	the	the	DET
iajs-577	8	25	shock	shock	NOUN
iajs-577	8	26	tube	tube	NOUN
iajs-577	8	27	into	into	ADP
iajs-577	8	28	the	the	DET
iajs-577	8	29	low	low	ADJ
iajs-577	8	30	pressure	pressure	NOUN
iajs-577	8	31	driven	drive	VERB
iajs-577	8	32	section	section	NOUN
iajs-577	8	33	and	and	CCONJ
iajs-577	8	34	at	at	ADP
iajs-577	8	35	the	the	DET
iajs-577	8	36	same	same	ADJ
iajs-577	8	37	time	time	NOUN
iajs-577	8	38	sending	send	VERB
iajs-577	8	39	an	an	DET
iajs-577	8	40	expansion	expansion	NOUN
iajs-577	8	41	wave	wave	NOUN
iajs-577	8	42	into	into	ADP
iajs-577	8	43	the	the	DET
iajs-577	8	44	high	high	ADJ
iajs-577	8	45	pressure	pressure	NOUN
iajs-577	8	46	driver	driver	NOUN
iajs-577	8	47	section	section	NOUN
iajs-577	8	48	.	.	PUNCT
iajs-577	9	1	keywords	keyword	NOUN
iajs-577	9	2	:	:	PUNCT
iajs-577	9	3	riemann	riemann	PROPN
iajs-577	9	4	problems	problems	PROPN
iajs-577	9	5	,	,	PUNCT
iajs-577	9	6	numerical	numerical	PROPN
iajs-577	9	7	simulation	simulation	PROPN
iajs-577	9	8	,	,	PUNCT
iajs-577	9	9	real	real	ADJ
iajs-577	9	10	gas	gas	NOUN
iajs-577	9	11	flow	flow	NOUN
iajs-577	9	12	introduction	introduction	NOUN
iajs-577	9	13	from	from	ADP
iajs-577	9	14	the	the	DET
iajs-577	9	15	solution	solution	NOUN
iajs-577	9	16	of	of	ADP
iajs-577	9	17	riemann	riemann	PROPN
iajs-577	9	18	problems	problem	NOUN
iajs-577	9	19	one	one	PRON
iajs-577	9	20	finds	find	VERB
iajs-577	9	21	directly	directly	ADV
iajs-577	9	22	how	how	SCONJ
iajs-577	9	23	much	much	ADJ
iajs-577	9	24	velocity	velocity	NOUN
iajs-577	9	25	,	,	PUNCT
iajs-577	9	26	density	density	NOUN
iajs-577	9	27	,	,	PUNCT
iajs-577	9	28	and	and	CCONJ
iajs-577	9	29	pressure	pressure	NOUN
iajs-577	9	30	flows	flow	VERB
iajs-577	9	31	into	into	ADP
iajs-577	9	32	a	a	DET
iajs-577	9	33	cell	cell	NOUN
iajs-577	9	34	from	from	ADP
iajs-577	9	35	the	the	DET
iajs-577	9	36	interface	interface	NOUN
iajs-577	9	37	under	under	ADP
iajs-577	9	38	consideration	consideration	NOUN
iajs-577	9	39	.	.	PUNCT
iajs-577	10	1	the	the	DET
iajs-577	10	2	initial	initial	ADJ
iajs-577	10	3	value	value	NOUN
iajs-577	10	4	problem	problem	NOUN
iajs-577	10	5	for	for	ADP
iajs-577	10	6	any	any	DET
iajs-577	10	7	discontinuity	discontinuity	NOUN
iajs-577	10	8	is	be	AUX
iajs-577	10	9	known	know	VERB
iajs-577	10	10	as	as	ADP
iajs-577	10	11	the	the	DET
iajs-577	10	12	riemann	riemann	PROPN
iajs-577	10	13	problem	problem	NOUN
iajs-577	10	14	.	.	PUNCT
iajs-577	11	1	where	where	SCONJ
iajs-577	11	2	w	w	NOUN
iajs-577	11	3	represents	represent	VERB
iajs-577	11	4	the	the	DET
iajs-577	11	5	values	value	NOUN
iajs-577	11	6	of	of	ADP
iajs-577	11	7	density	density	NOUN
iajs-577	11	8	,	,	PUNCT
iajs-577	11	9	velocity	velocity	NOUN
iajs-577	11	10	and	and	CCONJ
iajs-577	11	11	pressure	pressure	NOUN
iajs-577	11	12	.	.	PUNCT
iajs-577	12	1	they	they	PRON
iajs-577	12	2	can	can	AUX
iajs-577	12	3	be	be	AUX
iajs-577	12	4	thought	think	VERB
iajs-577	12	5	of	of	ADP
iajs-577	12	6	two	two	NUM
iajs-577	12	7	constant	constant	ADJ
iajs-577	12	8	states	state	NOUN
iajs-577	12	9	separated	separate	VERB
iajs-577	12	10	by	by	ADP
iajs-577	12	11	a	a	DET
iajs-577	12	12	diaphragm	diaphragm	NOUN
iajs-577	12	13	at	at	ADP
iajs-577	12	14	x0	x0	PROPN
iajs-577	12	15	which	which	PRON
iajs-577	12	16	is	be	AUX
iajs-577	12	17	removed	remove	VERB
iajs-577	12	18	at	at	ADP
iajs-577	12	19	t	t	NOUN
iajs-577	12	20	=	=	SYM
iajs-577	12	21	0	0	PUNCT
iajs-577	12	22	and	and	CCONJ
iajs-577	12	23	x0	x0	PROPN
iajs-577	12	24	is	be	AUX
iajs-577	12	25	the	the	DET
iajs-577	12	26	interface	interface	NOUN
iajs-577	12	27	between	between	ADP
iajs-577	12	28	two	two	NUM
iajs-577	12	29	meshes	mesh	NOUN
iajs-577	12	30	as	as	SCONJ
iajs-577	12	31	it	it	PRON
iajs-577	12	32	clear	clear	ADJ
iajs-577	12	33	in	in	ADP
iajs-577	12	34	fig	fig	NOUN
iajs-577	12	35	.	.	PUNCT
iajs-577	13	1	1	1	X
iajs-577	13	2	.	.	X
iajs-577	13	3	the	the	DET
iajs-577	13	4	initial	initial	ADJ
iajs-577	13	5	condition	condition	NOUN
iajs-577	13	6	for	for	ADP
iajs-577	13	7	the	the	DET
iajs-577	13	8	riemann	riemann	PROPN
iajs-577	13	9	problems	problem	NOUN
iajs-577	13	10	is	be	AUX
iajs-577	13	11	set	set	VERB
iajs-577	13	12	by	by	ADP
iajs-577	13	13	specifying	specify	VERB
iajs-577	13	14	the	the	DET
iajs-577	13	15	left	left	ADJ
iajs-577	13	16	and	and	CCONJ
iajs-577	13	17	right	right	ADJ
iajs-577	13	18	values	value	NOUN
iajs-577	13	19	of	of	ADP
iajs-577	13	20	the	the	DET
iajs-577	13	21	density	density	NOUN
iajs-577	13	22	,	,	PUNCT
iajs-577	13	23	velocity	velocity	NOUN
iajs-577	13	24	and	and	CCONJ
iajs-577	13	25	pressure	pressure	NOUN
iajs-577	13	26	.	.	PUNCT
iajs-577	14	1	riemann	riemann	PROPN
iajs-577	14	2	problem	problem	NOUN
iajs-577	14	3	for	for	ADP
iajs-577	14	4	the	the	DET
iajs-577	14	5	euler	euler	PROPN
iajs-577	14	6	equations	equations	PROPN
iajs-577	14	7	leads	lead	VERB
iajs-577	14	8	to	to	ADP
iajs-577	14	9	two	two	NUM
iajs-577	14	10	types	type	NOUN
iajs-577	14	11	of	of	ADP
iajs-577	14	12	waves	wave	NOUN
iajs-577	14	13	spreading	spread	VERB
iajs-577	14	14	.	.	PUNCT
iajs-577	15	1	they	they	PRON
iajs-577	15	2	are	be	AUX
iajs-577	15	3	shock	shock	NOUN
iajs-577	15	4	and	and	CCONJ
iajs-577	15	5	expansion	expansion	NOUN
iajs-577	15	6	waves	wave	NOUN
iajs-577	15	7	.	.	PUNCT
iajs-577	16	1	the	the	DET
iajs-577	16	2	possible	possible	ADJ
iajs-577	16	3	riemann	riemann	PROPN
iajs-577	16	4	configurations	configuration	NOUN
iajs-577	16	5	are	be	AUX
iajs-577	16	6	thus	thus	ADV
iajs-577	16	7	:	:	PUNCT
iajs-577	17	1	1	1	X
iajs-577	17	2	.	.	X
iajs-577	17	3	one	one	NUM
iajs-577	17	4	shock	shock	NOUN
iajs-577	17	5	and	and	CCONJ
iajs-577	17	6	one	one	NUM
iajs-577	17	7	expansion	expansion	NOUN
iajs-577	17	8	wave	wave	NOUN
iajs-577	17	9	.	.	PUNCT
iajs-577	18	1	2	2	X
iajs-577	18	2	.	.	X
iajs-577	18	3	two	two	NUM
iajs-577	18	4	shock	shock	NOUN
iajs-577	18	5	waves	wave	NOUN
iajs-577	18	6	.	.	PUNCT
iajs-577	19	1	3	3	X
iajs-577	19	2	.	.	X
iajs-577	19	3	two	two	NUM
iajs-577	19	4	expansion	expansion	NOUN
iajs-577	19	5	waves	wave	NOUN
iajs-577	19	6	.	.	PUNCT
iajs-577	20	1	in	in	ADP
iajs-577	20	2	each	each	PRON
iajs-577	20	3	of	of	ADP
iajs-577	20	4	the	the	DET
iajs-577	20	5	above	above	ADJ
iajs-577	20	6	cases	case	NOUN
iajs-577	20	7	there	there	PRON
iajs-577	20	8	will	will	AUX
iajs-577	20	9	be	be	AUX
iajs-577	20	10	a	a	DET
iajs-577	20	11	contact	contact	NOUN
iajs-577	20	12	discontinuity	discontinuity	NOUN
iajs-577	20	13	in	in	ADP
iajs-577	20	14	between	between	ADP
iajs-577	20	15	the	the	DET
iajs-577	20	16	two	two	NUM
iajs-577	20	17	waves	wave	NOUN
iajs-577	20	18	(	(	PUNCT
iajs-577	20	19	due	due	ADP
iajs-577	20	20	to	to	ADP
iajs-577	20	21	the	the	DET
iajs-577	20	22	fact	fact	NOUN
iajs-577	20	23	that	that	SCONJ
iajs-577	20	24	we	we	PRON
iajs-577	20	25	started	start	VERB
iajs-577	20	26	with	with	ADP
iajs-577	20	27	an	an	DET
iajs-577	20	28	initial	initial	ADJ
iajs-577	20	29	discontinuity	discontinuity	NOUN
iajs-577	20	30	)	)	PUNCT
iajs-577	20	31	.	.	PUNCT
iajs-577	21	1	[	[	X
iajs-577	21	2	1	1	X
iajs-577	21	3	]	]	PUNCT
iajs-577	21	4	the	the	DET
iajs-577	21	5	collision	collision	NOUN
iajs-577	21	6	between	between	ADP
iajs-577	21	7	two	two	NUM
iajs-577	21	8	flows	flow	NOUN
iajs-577	21	9	,	,	PUNCT
iajs-577	21	10	leading	lead	VERB
iajs-577	21	11	to	to	ADP
iajs-577	21	12	the	the	DET
iajs-577	21	13	formation	formation	NOUN
iajs-577	21	14	of	of	ADP
iajs-577	21	15	three	three	NUM
iajs-577	21	16	discontinuity	discontinuity	NOUN
iajs-577	21	17	as	as	SCONJ
iajs-577	21	18	shown	show	VERB
iajs-577	21	19	in	in	ADP
iajs-577	21	20	fig.2	fig.2	PROPN
iajs-577	21	21	.	.	PUNCT
iajs-577	22	1	http://en.wikipedia.org/wiki/pressure	http://en.wikipedia.org/wiki/pressure	PROPN
iajs-577	22	2	http://en.wikipedia.org/wiki/density	http://en.wikipedia.org/wiki/density	PROPN
iajs-577	22	3	physics	physics	PROPN
iajs-577	22	4	143	143	PRON
iajs-577	22	5	مجلة	مجلة	VERB
iajs-577	22	6	إبن	إبن	VERB
iajs-577	22	7	الهيثم	الهيثم	ADJ
iajs-577	22	8	للعلوم	للعلوم	NOUN
iajs-577	22	9	الصرفة	الصرفة	NOUN
iajs-577	23	1	و	و	PRON
iajs-577	23	2	التطبيقية	التطبيقية	ADJ
iajs-577	23	3	2012	2012	NUM
iajs-577	23	4	السنة	السنة	NOUN
iajs-577	23	5	25	25	NUM
iajs-577	23	6	المجلد	المجلد	NOUN
iajs-577	23	7	3	3	NUM
iajs-577	23	8	العدد	العدد	PROPN
iajs-577	23	9	ibn	ibn	PROPN
iajs-577	23	10	al	al	PROPN
iajs-577	23	11	-	-	PUNCT
iajs-577	23	12	haitham	haitham	PROPN
iajs-577	23	13	journal	journal	PROPN
iajs-577	23	14	for	for	ADP
iajs-577	23	15	pure	pure	ADJ
iajs-577	23	16	and	and	CCONJ
iajs-577	23	17	applied	apply	VERB
iajs-577	23	18	science	science	NOUN
iajs-577	23	19	no	no	NOUN
iajs-577	23	20	.	.	NOUN
iajs-577	23	21	3	3	NUM
iajs-577	23	22	vol	vol	NOUN
iajs-577	23	23	.	.	PUNCT
iajs-577	24	1	25	25	NUM
iajs-577	24	2	year	year	NOUN
iajs-577	24	3	2012	2012	NUM
iajs-577	24	4	the	the	DET
iajs-577	24	5	first	first	ADJ
iajs-577	24	6	riemann	riemann	PROPN
iajs-577	24	7	problem	problem	NOUN
iajs-577	24	8	we	we	PRON
iajs-577	24	9	will	will	AUX
iajs-577	24	10	consider	consider	VERB
iajs-577	24	11	is	be	AUX
iajs-577	24	12	the	the	DET
iajs-577	24	13	so	so	ADV
iajs-577	24	14	-	-	PUNCT
iajs-577	24	15	called	call	VERB
iajs-577	24	16	shock	shock	NOUN
iajs-577	24	17	tube	tube	NOUN
iajs-577	24	18	.	.	PUNCT
iajs-577	25	1	the	the	DET
iajs-577	25	2	shock	shock	NOUN
iajs-577	25	3	tube	tube	NOUN
iajs-577	25	4	is	be	AUX
iajs-577	25	5	a	a	DET
iajs-577	25	6	device	device	NOUN
iajs-577	25	7	in	in	ADP
iajs-577	25	8	which	which	PRON
iajs-577	25	9	a	a	DET
iajs-577	25	10	normal	normal	ADJ
iajs-577	25	11	shock	shock	NOUN
iajs-577	25	12	wave	wave	NOUN
iajs-577	25	13	is	be	AUX
iajs-577	25	14	produced	produce	VERB
iajs-577	25	15	by	by	ADP
iajs-577	25	16	the	the	DET
iajs-577	25	17	sudden	sudden	ADJ
iajs-577	25	18	bursting	bursting	NOUN
iajs-577	25	19	of	of	ADP
iajs-577	25	20	a	a	DET
iajs-577	25	21	diaphragm	diaphragm	NOUN
iajs-577	25	22	separating	separate	VERB
iajs-577	25	23	a	a	DET
iajs-577	25	24	gas	gas	NOUN
iajs-577	25	25	at	at	ADP
iajs-577	25	26	high	high	ADJ
iajs-577	25	27	pressure	pressure	NOUN
iajs-577	25	28	from	from	ADP
iajs-577	25	29	one	one	NUM
iajs-577	25	30	at	at	ADP
iajs-577	25	31	lower	low	ADJ
iajs-577	25	32	pressure	pressure	NOUN
iajs-577	25	33	.	.	PUNCT
iajs-577	26	1	when	when	SCONJ
iajs-577	26	2	the	the	DET
iajs-577	26	3	diaphragm	diaphragm	NOUN
iajs-577	26	4	bursts	burst	VERB
iajs-577	26	5	a	a	DET
iajs-577	26	6	shock	shock	NOUN
iajs-577	26	7	wave	wave	NOUN
iajs-577	26	8	forms	form	NOUN
iajs-577	26	9	almost	almost	ADV
iajs-577	26	10	instantaneously	instantaneously	ADV
iajs-577	26	11	and	and	CCONJ
iajs-577	26	12	propagates	propagate	VERB
iajs-577	26	13	into	into	ADP
iajs-577	26	14	the	the	DET
iajs-577	26	15	driven	drive	VERB
iajs-577	26	16	section	section	NOUN
iajs-577	26	17	,	,	PUNCT
iajs-577	26	18	while	while	SCONJ
iajs-577	26	19	simultaneously	simultaneously	ADV
iajs-577	26	20	an	an	DET
iajs-577	26	21	expansion	expansion	NOUN
iajs-577	26	22	wave	wave	NOUN
iajs-577	26	23	propagates	propagate	VERB
iajs-577	26	24	,	,	PUNCT
iajs-577	26	25	in	in	ADP
iajs-577	26	26	the	the	DET
iajs-577	26	27	opposite	opposite	ADJ
iajs-577	26	28	direction	direction	NOUN
iajs-577	26	29	,	,	PUNCT
iajs-577	26	30	into	into	ADP
iajs-577	26	31	the	the	DET
iajs-577	26	32	driver	driver	NOUN
iajs-577	26	33	section	section	NOUN
iajs-577	26	34	.	.	PUNCT
iajs-577	27	1	the	the	DET
iajs-577	27	2	propagation	propagation	NOUN
iajs-577	27	3	of	of	ADP
iajs-577	27	4	the	the	DET
iajs-577	27	5	shock	shock	NOUN
iajs-577	27	6	front	front	NOUN
iajs-577	27	7	and	and	CCONJ
iajs-577	27	8	expansion	expansion	NOUN
iajs-577	27	9	fan	fan	NOUN
iajs-577	27	10	changes	change	VERB
iajs-577	27	11	the	the	DET
iajs-577	27	12	gas	gas	NOUN
iajs-577	27	13	pressure	pressure	NOUN
iajs-577	27	14	,	,	PUNCT
iajs-577	27	15	and	and	CCONJ
iajs-577	27	16	density	density	NOUN
iajs-577	27	17	,	,	PUNCT
iajs-577	27	18	and	and	CCONJ
iajs-577	27	19	sets	set	VERB
iajs-577	27	20	the	the	DET
iajs-577	27	21	gas	gas	NOUN
iajs-577	27	22	in	in	ADP
iajs-577	27	23	motion	motion	NOUN
iajs-577	27	24	relative	relative	ADJ
iajs-577	27	25	to	to	ADP
iajs-577	27	26	the	the	DET
iajs-577	27	27	shock	shock	NOUN
iajs-577	27	28	-	-	PUNCT
iajs-577	27	29	tube	tube	NOUN
iajs-577	27	30	walls	wall	NOUN
iajs-577	27	31	.	.	PUNCT
iajs-577	28	1	the	the	DET
iajs-577	28	2	strength	strength	NOUN
iajs-577	28	3	of	of	ADP
iajs-577	28	4	the	the	DET
iajs-577	28	5	shock	shock	NOUN
iajs-577	28	6	wave	wave	NOUN
iajs-577	28	7	and	and	CCONJ
iajs-577	28	8	expansion	expansion	NOUN
iajs-577	28	9	wave	wave	NOUN
iajs-577	28	10	thus	thus	ADV
iajs-577	28	11	produced	produce	VERB
iajs-577	28	12	depends	depend	VERB
iajs-577	28	13	on	on	ADP
iajs-577	28	14	the	the	DET
iajs-577	28	15	initial	initial	ADJ
iajs-577	28	16	pressure	pressure	NOUN
iajs-577	28	17	ratio	ratio	NOUN
iajs-577	28	18	across	across	ADP
iajs-577	28	19	the	the	DET
iajs-577	28	20	diaphragm	diaphragm	NOUN
iajs-577	28	21	and	and	CCONJ
iajs-577	28	22	on	on	ADP
iajs-577	28	23	the	the	DET
iajs-577	28	24	physical	physical	ADJ
iajs-577	28	25	properties	property	NOUN
iajs-577	28	26	of	of	ADP
iajs-577	28	27	the	the	DET
iajs-577	28	28	gases	gas	NOUN
iajs-577	28	29	in	in	ADP
iajs-577	28	30	the	the	DET
iajs-577	28	31	driver	driver	NOUN
iajs-577	28	32	and	and	CCONJ
iajs-577	28	33	the	the	DET
iajs-577	28	34	driven	drive	VERB
iajs-577	28	35	sections	section	NOUN
iajs-577	28	36	.	.	PUNCT
iajs-577	29	1	[	[	X
iajs-577	29	2	2	2	NUM
iajs-577	29	3	]	]	PUNCT
iajs-577	29	4	jump	jump	NOUN
iajs-577	29	5	conditions	condition	NOUN
iajs-577	29	6	across	across	ADP
iajs-577	29	7	a	a	DET
iajs-577	29	8	standing	stand	VERB
iajs-577	29	9	normal	normal	ADJ
iajs-577	29	10	shock	shock	NOUN
iajs-577	29	11	wave	wave	NOUN
iajs-577	29	12	;	;	PUNCT
iajs-577	29	13	relationship	relationship	NOUN
iajs-577	29	14	between	between	ADP
iajs-577	29	15	laboratory	laboratory	NOUN
iajs-577	29	16	fixed	fix	VERB
iajs-577	29	17	and	and	CCONJ
iajs-577	29	18	shock	shock	NOUN
iajs-577	29	19	fixed	fix	VERB
iajs-577	29	20	coordinates	coordinate	NOUN
iajs-577	29	21	.	.	PUNCT
iajs-577	30	1	we	we	PRON
iajs-577	30	2	first	first	ADV
iajs-577	30	3	consider	consider	VERB
iajs-577	30	4	the	the	DET
iajs-577	30	5	case	case	NOUN
iajs-577	30	6	of	of	ADP
iajs-577	30	7	a	a	DET
iajs-577	30	8	standing	stand	VERB
iajs-577	30	9	normal	normal	ADJ
iajs-577	30	10	shock	shock	NOUN
iajs-577	30	11	wave	wave	NOUN
iajs-577	30	12	in	in	ADP
iajs-577	30	13	a	a	DET
iajs-577	30	14	tube	tube	NOUN
iajs-577	30	15	,	,	PUNCT
iajs-577	30	16	which	which	PRON
iajs-577	30	17	is	be	AUX
iajs-577	30	18	clear	clear	ADJ
iajs-577	30	19	in	in	ADP
iajs-577	30	20	fig	fig	NOUN
iajs-577	30	21	.	.	PUNCT
iajs-577	31	1	1	1	X
iajs-577	31	2	.	.	X
iajs-577	31	3	the	the	DET
iajs-577	31	4	conservation	conservation	NOUN
iajs-577	31	5	of	of	ADP
iajs-577	31	6	mass	mass	PROPN
iajs-577	31	7	,	,	PUNCT
iajs-577	31	8	momentum	momentum	NOUN
iajs-577	31	9	,	,	PUNCT
iajs-577	31	10	and	and	CCONJ
iajs-577	31	11	energy	energy	NOUN
iajs-577	31	12	for	for	ADP
iajs-577	31	13	the	the	DET
iajs-577	31	14	flow	flow	NOUN
iajs-577	31	15	through	through	ADP
iajs-577	31	16	this	this	DET
iajs-577	31	17	wave	wave	NOUN
iajs-577	31	18	are	be	AUX
iajs-577	31	19	given	give	VERB
iajs-577	31	20	by	by	ADP
iajs-577	31	21	:	:	PUNCT
iajs-577	31	22	uu	uu	PROPN
iajs-577	31	23	2211	2211	NUM
iajs-577	31	24	ρρ	ρρ	NOUN
iajs-577	31	25	=	=	SYM
iajs-577	31	26	(	(	PUNCT
iajs-577	31	27	1	1	X
iajs-577	31	28	)	)	PUNCT
iajs-577	31	29	upup	upup	ADJ
iajs-577	31	30	2	2	NUM
iajs-577	31	31	222	222	NUM
iajs-577	31	32	2	2	NUM
iajs-577	31	33	111	111	NUM
iajs-577	31	34	ρρ	ρρ	NOUN
iajs-577	31	35	+	+	NOUN
iajs-577	31	36	=	=	NOUN
iajs-577	31	37	+	+	NUM
iajs-577	31	38	(	(	PUNCT
iajs-577	31	39	2	2	NUM
iajs-577	31	40	)	)	PUNCT
iajs-577	31	41	ρερε	ρερε	VERB
iajs-577	31	42	2	2	NUM
iajs-577	31	43	2	2	NUM
iajs-577	31	44	2	2	NUM
iajs-577	31	45	2	2	NUM
iajs-577	31	46	2	2	NUM
iajs-577	31	47	1	1	NUM
iajs-577	31	48	1	1	NUM
iajs-577	31	49	1	1	NUM
iajs-577	31	50	2	2	NUM
iajs-577	31	51	1	1	NUM
iajs-577	31	52	2	2	NUM
iajs-577	31	53	1	1	NUM
iajs-577	31	54	2	2	NUM
iajs-577	31	55	1	1	NUM
iajs-577	31	56	pupu	pupu	ADJ
iajs-577	31	57	+	+	PROPN
iajs-577	31	58	+	+	ADJ
iajs-577	31	59	=	=	ADJ
iajs-577	31	60	+	+	ADJ
iajs-577	31	61	+	+	CCONJ
iajs-577	31	62	(	(	PUNCT
iajs-577	31	63	3	3	NUM
iajs-577	31	64	)	)	PUNCT
iajs-577	31	65	where	where	SCONJ
iajs-577	31	66	:	:	PUNCT
iajs-577	31	67	pu	pu	PROPN
iajs-577	31	68	111	111	NUM
iajs-577	31	69	,	,	PUNCT
iajs-577	31	70	,	,	PUNCT
iajs-577	31	71	ρ	ρ	PROPN
iajs-577	31	72	are	be	AUX
iajs-577	31	73	the	the	DET
iajs-577	31	74	pre	pre	ADJ
iajs-577	31	75	-	-	ADJ
iajs-577	31	76	shock	shock	ADJ
iajs-577	31	77	density	density	NOUN
iajs-577	31	78	,	,	PUNCT
iajs-577	31	79	velocity	velocity	NOUN
iajs-577	31	80	,	,	PUNCT
iajs-577	31	81	and	and	CCONJ
iajs-577	31	82	pressure	pressure	NOUN
iajs-577	31	83	and	and	CCONJ
iajs-577	31	84	pu	pu	PROPN
iajs-577	31	85	222	222	NUM
iajs-577	31	86	,	,	PUNCT
iajs-577	31	87	,	,	PUNCT
iajs-577	31	88	ρ	ρ	PROPN
iajs-577	31	89	are	be	AUX
iajs-577	31	90	the	the	DET
iajs-577	31	91	post	post	NOUN
iajs-577	31	92	shock	shock	NOUN
iajs-577	31	93	density	density	NOUN
iajs-577	31	94	,	,	PUNCT
iajs-577	31	95	velocity	velocity	NOUN
iajs-577	31	96	,	,	PUNCT
iajs-577	31	97	and	and	CCONJ
iajs-577	31	98	pressure	pressure	NOUN
iajs-577	31	99	repectively	repectively	NOUN
iajs-577	31	100	.	.	PUNCT
iajs-577	32	1	for	for	ADP
iajs-577	32	2	an	an	DET
iajs-577	32	3	ideal	ideal	ADJ
iajs-577	32	4	gas	gas	NOUN
iajs-577	32	5	pressure	pressure	NOUN
iajs-577	32	6	and	and	CCONJ
iajs-577	32	7	internal	internal	ADJ
iajs-577	32	8	energy	energy	NOUN
iajs-577	32	9	are	be	AUX
iajs-577	32	10	related	relate	VERB
iajs-577	32	11	by	by	ADP
iajs-577	32	12	:	:	PUNCT
iajs-577	32	13	)	)	PUNCT
iajs-577	32	14	1	1	NUM
iajs-577	32	15	(	(	PUNCT
iajs-577	32	16	−	−	PROPN
iajs-577	32	17	=	=	SYM
iajs-577	32	18	γ	γ	X
iajs-577	32	19	ρε	ρε	PROPN
iajs-577	32	20	p	p	X
iajs-577	32	21	(	(	PUNCT
iajs-577	32	22	4	4	NUM
iajs-577	32	23	)	)	PUNCT
iajs-577	32	24	is	be	AUX
iajs-577	32	25	the	the	DET
iajs-577	32	26	specific	specific	ADJ
iajs-577	32	27	internal	internal	ADJ
iajs-577	32	28	energy	energy	NOUN
iajs-577	32	29	.	.	PUNCT
iajs-577	33	1	is	be	AUX
iajs-577	33	2	the	the	DET
iajs-577	33	3	specific	specific	ADJ
iajs-577	33	4	heat	heat	NOUN
iajs-577	33	5	capacity	capacity	NOUN
iajs-577	33	6	.	.	PUNCT
iajs-577	34	1	the	the	DET
iajs-577	34	2	entropy	entropy	NOUN
iajs-577	34	3	related	relate	VERB
iajs-577	34	4	quantity	quantity	NOUN
iajs-577	34	5	is	be	AUX
iajs-577	34	6	ρ	ρ	PROPN
iajs-577	34	7	γ	γ	X
iajs-577	34	8	ξ	ξ	X
iajs-577	34	9	−	−	PROPN
iajs-577	34	10	=	=	SYM
iajs-577	34	11	p	p	X
iajs-577	34	12	(	(	PUNCT
iajs-577	34	13	5	5	NUM
iajs-577	34	14	)	)	PUNCT
iajs-577	34	15	the	the	DET
iajs-577	34	16	ratio	ratio	NOUN
iajs-577	34	17	of	of	ADP
iajs-577	34	18	the	the	DET
iajs-577	34	19	shock	shock	NOUN
iajs-577	34	20	parameters	parameter	NOUN
iajs-577	34	21	,	,	PUNCT
iajs-577	34	22	are	be	AUX
iajs-577	34	23	known	know	VERB
iajs-577	34	24	as	as	ADP
iajs-577	34	25	the	the	DET
iajs-577	34	26	shock	shock	NOUN
iajs-577	34	27	jump	jump	NOUN
iajs-577	34	28	or	or	CCONJ
iajs-577	34	29	rankine	rankine	NOUN
iajs-577	34	30	–	–	PUNCT
iajs-577	34	31	hugoniot	hugoniot	NOUN
iajs-577	34	32	conditions	condition	NOUN
iajs-577	34	33	(	(	PUNCT
iajs-577	34	34	in	in	ADP
iajs-577	34	35	the	the	DET
iajs-577	34	36	frame	frame	NOUN
iajs-577	34	37	of	of	ADP
iajs-577	34	38	shock	shock	NOUN
iajs-577	34	39	)	)	PUNCT
iajs-577	34	40	and	and	CCONJ
iajs-577	34	41	express	express	VERB
iajs-577	34	42	by	by	ADP
iajs-577	34	43	,	,	PUNCT
iajs-577	34	44	[	[	X
iajs-577	34	45	3	3	NUM
iajs-577	34	46	,	,	PUNCT
iajs-577	34	47	4	4	NUM
iajs-577	34	48	]	]	PUNCT
iajs-577	34	49	:	:	PUNCT
iajs-577	34	50	2)1	2)1	NUM
iajs-577	34	51	(	(	PUNCT
iajs-577	34	52	)	)	PUNCT
iajs-577	34	53	1	1	NUM
iajs-577	34	54	(	(	PUNCT
iajs-577	34	55	2	2	NUM
iajs-577	34	56	1	1	NUM
iajs-577	34	57	2	2	NUM
iajs-577	34	58	1	1	NUM
iajs-577	34	59	1	1	NUM
iajs-577	34	60	2	2	NUM
iajs-577	34	61	+	+	NOUN
iajs-577	35	1	−	−	NOUN
iajs-577	35	2	+	+	SYM
iajs-577	35	3	=	=	NOUN
iajs-577	35	4	m	m	VERB
iajs-577	35	5	m	m	VERB
iajs-577	35	6	γ	γ	X
iajs-577	35	7	γ	γ	X
iajs-577	35	8	ρ	ρ	PROPN
iajs-577	35	9	ρ	ρ	PROPN
iajs-577	35	10	(	(	PUNCT
iajs-577	35	11	6	6	NUM
iajs-577	35	12	)	)	PUNCT
iajs-577	35	13	)	)	PUNCT
iajs-577	35	14	1)(1	1)(1	NUM
iajs-577	35	15	(	(	PUNCT
iajs-577	35	16	21	21	NUM
iajs-577	35	17	2	2	NUM
iajs-577	35	18	11	11	NUM
iajs-577	35	19	2	2	NUM
iajs-577	35	20	−+	−+	PROPN
iajs-577	35	21	+	+	PROPN
iajs-577	35	22	=	=	PROPN
iajs-577	35	23	mp	mp	PROPN
iajs-577	35	24	p	p	PROPN
iajs-577	35	25	γ	γ	X
iajs-577	35	26	γ	γ	X
iajs-577	35	27	(	(	PUNCT
iajs-577	35	28	7	7	NUM
iajs-577	35	29	)	)	PUNCT
iajs-577	35	30	where	where	SCONJ
iajs-577	35	31	m	m	NOUN
iajs-577	35	32	is	be	AUX
iajs-577	35	33	the	the	DET
iajs-577	35	34	mach	mach	ADJ
iajs-577	35	35	number	number	NOUN
iajs-577	35	36	of	of	ADP
iajs-577	35	37	the	the	DET
iajs-577	35	38	flow	flow	NOUN
iajs-577	35	39	and	and	CCONJ
iajs-577	35	40	it	it	PRON
iajs-577	35	41	define	define	VERB
iajs-577	35	42	by	by	ADP
iajs-577	35	43	:	:	PUNCT
iajs-577	35	44	(	(	PUNCT
iajs-577	35	45	8)	8)	NUM
iajs-577	35	46	cs	cs	PROPN
iajs-577	35	47	is	be	AUX
iajs-577	35	48	the	the	DET
iajs-577	35	49	sound	sound	ADJ
iajs-577	35	50	speed	speed	NOUN
iajs-577	35	51	and	and	CCONJ
iajs-577	35	52	it	it	PRON
iajs-577	35	53	is	be	AUX
iajs-577	35	54	equal	equal	ADJ
iajs-577	35	55	to	to	ADP
iajs-577	35	56	:	:	PUNCT
iajs-577	35	57	physics	physics	NOUN
iajs-577	35	58	144	144	NUM
iajs-577	35	59	مجلة	مجلة	PROPN
iajs-577	35	60	إبن	إبن	VERB
iajs-577	35	61	الهيثم	الهيثم	ADJ
iajs-577	35	62	للعلوم	للعلوم	NOUN
iajs-577	35	63	الصرفة	الصرفة	NOUN
iajs-577	35	64	و	و	PRON
iajs-577	35	65	التطبيقية	التطبيقية	ADJ
iajs-577	35	66	2012	2012	NUM
iajs-577	35	67	السنة	السنة	NOUN
iajs-577	36	1	25	25	NUM
iajs-577	36	2	المجلد	المجلد	NOUN
iajs-577	36	3	3	3	NUM
iajs-577	36	4	العدد	العدد	PROPN
iajs-577	36	5	ibn	ibn	PROPN
iajs-577	36	6	al	al	PROPN
iajs-577	36	7	-	-	PUNCT
iajs-577	36	8	haitham	haitham	PROPN
iajs-577	36	9	journal	journal	PROPN
iajs-577	36	10	for	for	ADP
iajs-577	36	11	pure	pure	ADJ
iajs-577	36	12	and	and	CCONJ
iajs-577	36	13	applied	apply	VERB
iajs-577	36	14	science	science	NOUN
iajs-577	36	15	no	no	NOUN
iajs-577	36	16	.	.	NOUN
iajs-577	36	17	3	3	NUM
iajs-577	36	18	vol	vol	NOUN
iajs-577	36	19	.	.	PUNCT
iajs-577	36	20	25	25	NUM
iajs-577	36	21	year	year	NOUN
iajs-577	36	22	2012	2012	NUM
iajs-577	36	23	ρ	ρ	PROPN
iajs-577	36	24	γ	γ	NOUN
iajs-577	36	25	pcs	pc	NOUN
iajs-577	36	26	=	=	SYM
iajs-577	36	27	(	(	PUNCT
iajs-577	36	28	9	9	X
iajs-577	36	29	)	)	PUNCT
iajs-577	36	30	numerical	numerical	ADJ
iajs-577	36	31	results	result	NOUN
iajs-577	36	32	and	and	CCONJ
iajs-577	36	33	discussions	discussion	NOUN
iajs-577	36	34	in	in	ADP
iajs-577	36	35	this	this	DET
iajs-577	36	36	work	work	NOUN
iajs-577	36	37	we	we	PRON
iajs-577	36	38	applied	apply	VERB
iajs-577	36	39	numerical	numerical	ADJ
iajs-577	36	40	software	software	NOUN
iajs-577	36	41	to	to	ADP
iajs-577	36	42	analyses	analysis	NOUN
iajs-577	36	43	riemann	riemann	PROPN
iajs-577	36	44	problems	problem	NOUN
iajs-577	36	45	of	of	ADP
iajs-577	36	46	the	the	DET
iajs-577	36	47	shock	shock	NOUN
iajs-577	36	48	–	–	PUNCT
iajs-577	36	49	tube	tube	NOUN
iajs-577	36	50	problems	problem	NOUN
iajs-577	36	51	.	.	PUNCT
iajs-577	37	1	we	we	PRON
iajs-577	37	2	run	run	VERB
iajs-577	37	3	the	the	DET
iajs-577	37	4	simulation	simulation	NOUN
iajs-577	37	5	with	with	ADP
iajs-577	37	6	the	the	DET
iajs-577	37	7	initial	initial	ADJ
iajs-577	37	8	conditions	condition	NOUN
iajs-577	37	9	in	in	ADP
iajs-577	37	10	table	table	NOUN
iajs-577	37	11	1	1	NUM
iajs-577	37	12	.	.	PUNCT
iajs-577	38	1	a	a	DET
iajs-577	38	2	stability	stability	NOUN
iajs-577	38	3	condition	condition	NOUN
iajs-577	38	4	is	be	AUX
iajs-577	38	5	required	require	VERB
iajs-577	38	6	and	and	CCONJ
iajs-577	38	7	,	,	PUNCT
iajs-577	38	8	assuming	assume	VERB
iajs-577	38	9	a	a	DET
iajs-577	38	10	constant	constant	ADJ
iajs-577	38	11	grid	grid	NOUN
iajs-577	38	12	size	size	NOUN
iajs-577	38	13	(	(	PUNCT
iajs-577	38	14	x∆	x∆	PROPN
iajs-577	38	15	)	)	PUNCT
iajs-577	38	16	,	,	PUNCT
iajs-577	38	17	the	the	DET
iajs-577	38	18	time	time	NOUN
iajs-577	38	19	step	step	NOUN
iajs-577	38	20	(	(	PUNCT
iajs-577	38	21	t∆	t∆	PROPN
iajs-577	38	22	)	)	PUNCT
iajs-577	38	23	is	be	AUX
iajs-577	38	24	calculated	calculate	VERB
iajs-577	38	25	by	by	ADP
iajs-577	38	26	using	use	VERB
iajs-577	38	27	:	:	PUNCT
iajs-577	38	28	)	)	PUNCT
iajs-577	39	1	max(λ	max(λ	INTJ
iajs-577	39	2	i	i	PRON
iajs-577	39	3	cfl	cfl	VERB
iajs-577	39	4	x	x	SYM
iajs-577	39	5	t	t	PROPN
iajs-577	39	6	n	n	CCONJ
iajs-577	39	7	∆	∆	X
iajs-577	40	1	=	=	PRON
iajs-577	40	2	∆	∆	X
iajs-577	40	3	(	(	PUNCT
iajs-577	40	4	10	10	NUM
iajs-577	40	5	)	)	PUNCT
iajs-577	40	6	where	where	SCONJ
iajs-577	40	7	)	)	PUNCT
iajs-577	40	8	(	(	PUNCT
iajs-577	40	9	maxλ	maxλ	NOUN
iajs-577	40	10	i	i	PRON
iajs-577	40	11	is	be	AUX
iajs-577	40	12	the	the	DET
iajs-577	40	13	maximum	maximum	ADJ
iajs-577	40	14	wave	wave	NOUN
iajs-577	40	15	speed	speed	NOUN
iajs-577	40	16	and	and	CCONJ
iajs-577	40	17	ncfl	ncfl	VERB
iajs-577	40	18	the	the	DET
iajs-577	40	19	required	require	VERB
iajs-577	40	20	courant	courant	NOUN
iajs-577	40	21	(	(	PUNCT
iajs-577	40	22	cfl	cfl	NOUN
iajs-577	40	23	)	)	PUNCT
iajs-577	40	24	number	number	NOUN
iajs-577	40	25	.	.	PUNCT
iajs-577	41	1	[	[	X
iajs-577	41	2	5	5	X
iajs-577	41	3	]	]	PUNCT
iajs-577	41	4	the	the	DET
iajs-577	41	5	numerical	numerical	ADJ
iajs-577	41	6	domain	domain	NOUN
iajs-577	41	7	size	size	NOUN
iajs-577	41	8	(	(	PUNCT
iajs-577	41	9	x∆	x∆	PROPN
iajs-577	41	10	)	)	PUNCT
iajs-577	41	11	of	of	ADP
iajs-577	41	12	1	1	NUM
iajs-577	41	13	is	be	AUX
iajs-577	41	14	divided	divide	VERB
iajs-577	41	15	into	into	ADP
iajs-577	41	16	1000	1000	NUM
iajs-577	41	17	computational	computational	ADJ
iajs-577	41	18	cells	cell	NOUN
iajs-577	41	19	of	of	ADP
iajs-577	41	20	length	length	NOUN
iajs-577	41	21	0.001	0.001	NUM
iajs-577	41	22	.	.	PUNCT
iajs-577	42	1	the	the	DET
iajs-577	42	2	computation	computation	NOUN
iajs-577	42	3	has	have	AUX
iajs-577	42	4	been	be	AUX
iajs-577	42	5	performed	perform	VERB
iajs-577	42	6	using	use	VERB
iajs-577	42	7	cfl	cfl	NOUN
iajs-577	42	8	number	number	NOUN
iajs-577	42	9	of	of	ADP
iajs-577	42	10	0.5	0.5	NUM
iajs-577	42	11	.	.	PUNCT
iajs-577	43	1	shock	shock	NOUN
iajs-577	43	2	tube	tube	NOUN
iajs-577	43	3	problems	problem	NOUN
iajs-577	43	4	results	result	VERB
iajs-577	43	5	the	the	DET
iajs-577	43	6	sod	sod	NOUN
iajs-577	43	7	shock	shock	NOUN
iajs-577	43	8	tube	tube	NOUN
iajs-577	43	9	is	be	AUX
iajs-577	43	10	a	a	DET
iajs-577	43	11	riemann	riemann	PROPN
iajs-577	43	12	problem	problem	NOUN
iajs-577	43	13	used	use	VERB
iajs-577	43	14	as	as	ADP
iajs-577	43	15	a	a	DET
iajs-577	43	16	standard	standard	ADJ
iajs-577	43	17	test	test	NOUN
iajs-577	43	18	problem	problem	NOUN
iajs-577	43	19	,	,	PUNCT
iajs-577	43	20	but	but	CCONJ
iajs-577	43	21	in	in	ADP
iajs-577	43	22	this	this	DET
iajs-577	43	23	case	case	NOUN
iajs-577	43	24	we	we	PRON
iajs-577	43	25	did	do	AUX
iajs-577	43	26	not	not	PART
iajs-577	43	27	exactly	exactly	ADV
iajs-577	43	28	do	do	VERB
iajs-577	43	29	the	the	DET
iajs-577	43	30	classical	classical	ADJ
iajs-577	43	31	sod	sod	NOUN
iajs-577	43	32	problem	problem	NOUN
iajs-577	43	33	because	because	SCONJ
iajs-577	43	34	we	we	PRON
iajs-577	43	35	do	do	AUX
iajs-577	43	36	not	not	PART
iajs-577	43	37	consider	consider	VERB
iajs-577	43	38	any	any	DET
iajs-577	43	39	combustion	combustion	NOUN
iajs-577	43	40	reactions	reaction	NOUN
iajs-577	43	41	here	here	ADV
iajs-577	43	42	,	,	PUNCT
iajs-577	43	43	but	but	CCONJ
iajs-577	43	44	are	be	AUX
iajs-577	43	45	instead	instead	ADV
iajs-577	43	46	interested	interested	ADJ
iajs-577	43	47	in	in	ADP
iajs-577	43	48	the	the	DET
iajs-577	43	49	pattern	pattern	NOUN
iajs-577	43	50	of	of	ADP
iajs-577	43	51	discontinuities	discontinuity	NOUN
iajs-577	43	52	.	.	PUNCT
iajs-577	44	1	we	we	PRON
iajs-577	44	2	started	start	VERB
iajs-577	44	3	with	with	ADP
iajs-577	44	4	the	the	DET
iajs-577	44	5	initial	initial	ADJ
iajs-577	44	6	conditions	condition	NOUN
iajs-577	44	7	shown	show	VERB
iajs-577	44	8	in	in	ADP
iajs-577	44	9	table	table	NOUN
iajs-577	44	10	1	1	NUM
iajs-577	44	11	,	,	PUNCT
iajs-577	44	12	and	and	CCONJ
iajs-577	44	13	the	the	DET
iajs-577	44	14	specific	specific	ADJ
iajs-577	44	15	heat	heat	NOUN
iajs-577	44	16	capacity	capacity	NOUN
iajs-577	44	17	is	be	AUX
iajs-577	44	18	chosen	choose	VERB
iajs-577	44	19	to	to	PART
iajs-577	44	20	be	be	AUX
iajs-577	44	21	(	(	PUNCT
iajs-577	44	22	γ	γ	X
iajs-577	44	23	=	=	SYM
iajs-577	44	24	5/2	5/2	NUM
iajs-577	44	25	)	)	PUNCT
iajs-577	44	26	.	.	PUNCT
iajs-577	45	1	applying	apply	VERB
iajs-577	45	2	the	the	DET
iajs-577	45	3	initial	initial	ADJ
iajs-577	45	4	conditions	condition	NOUN
iajs-577	45	5	and	and	CCONJ
iajs-577	45	6	running	run	VERB
iajs-577	45	7	the	the	DET
iajs-577	45	8	program	program	NOUN
iajs-577	45	9	leads	lead	VERB
iajs-577	45	10	to	to	ADP
iajs-577	45	11	solution	solution	NOUN
iajs-577	45	12	consisting	consist	VERB
iajs-577	45	13	of	of	ADP
iajs-577	45	14	a	a	DET
iajs-577	45	15	shock	shock	NOUN
iajs-577	45	16	wave	wave	NOUN
iajs-577	45	17	propagates	propagate	VERB
iajs-577	45	18	into	into	ADP
iajs-577	45	19	the	the	DET
iajs-577	45	20	region	region	NOUN
iajs-577	45	21	of	of	ADP
iajs-577	45	22	lower	low	ADJ
iajs-577	45	23	pressure	pressure	NOUN
iajs-577	45	24	,	,	PUNCT
iajs-577	45	25	across	across	ADP
iajs-577	45	26	which	which	PRON
iajs-577	45	27	the	the	DET
iajs-577	45	28	density	density	NOUN
iajs-577	45	29	and	and	CCONJ
iajs-577	45	30	pressure	pressure	NOUN
iajs-577	45	31	jump	jump	NOUN
iajs-577	45	32	to	to	ADP
iajs-577	45	33	higher	high	ADJ
iajs-577	45	34	values	value	NOUN
iajs-577	45	35	and	and	CCONJ
iajs-577	45	36	all	all	PRON
iajs-577	45	37	of	of	ADP
iajs-577	45	38	the	the	DET
iajs-577	45	39	state	state	NOUN
iajs-577	45	40	variables	variable	NOUN
iajs-577	45	41	are	be	AUX
iajs-577	45	42	discontinuous	discontinuous	ADJ
iajs-577	45	43	.	.	PUNCT
iajs-577	46	1	this	this	PRON
iajs-577	46	2	is	be	AUX
iajs-577	46	3	followed	follow	VERB
iajs-577	46	4	by	by	ADP
iajs-577	46	5	a	a	DET
iajs-577	46	6	contact	contact	NOUN
iajs-577	46	7	discontinuity	discontinuity	NOUN
iajs-577	46	8	,	,	PUNCT
iajs-577	46	9	across	across	ADP
iajs-577	46	10	which	which	PRON
iajs-577	46	11	the	the	DET
iajs-577	46	12	density	density	NOUN
iajs-577	46	13	is	be	AUX
iajs-577	46	14	again	again	ADV
iajs-577	46	15	discontinuous	discontinuous	ADJ
iajs-577	46	16	but	but	CCONJ
iajs-577	46	17	the	the	DET
iajs-577	46	18	velocity	velocity	NOUN
iajs-577	46	19	and	and	CCONJ
iajs-577	46	20	pressure	pressure	NOUN
iajs-577	46	21	are	be	AUX
iajs-577	46	22	constant	constant	ADJ
iajs-577	46	23	.	.	PUNCT
iajs-577	47	1	the	the	DET
iajs-577	47	2	third	third	ADJ
iajs-577	47	3	wave	wave	NOUN
iajs-577	47	4	moves	move	VERB
iajs-577	47	5	into	into	ADP
iajs-577	47	6	the	the	DET
iajs-577	47	7	opposite	opposite	ADJ
iajs-577	47	8	direction	direction	NOUN
iajs-577	47	9	and	and	CCONJ
iajs-577	47	10	have	have	VERB
iajs-577	47	11	a	a	DET
iajs-577	47	12	very	very	ADV
iajs-577	47	13	different	different	ADJ
iajs-577	47	14	structure	structure	NOUN
iajs-577	47	15	.	.	PUNCT
iajs-577	48	1	this	this	DET
iajs-577	48	2	wave	wave	NOUN
iajs-577	48	3	is	be	AUX
iajs-577	48	4	called	call	VERB
iajs-577	48	5	an	an	DET
iajs-577	48	6	expansion	expansion	NOUN
iajs-577	48	7	wave	wave	NOUN
iajs-577	48	8	,	,	PUNCT
iajs-577	48	9	and	and	CCONJ
iajs-577	48	10	across	across	ADP
iajs-577	48	11	which	which	PRON
iajs-577	48	12	the	the	DET
iajs-577	48	13	materials	material	NOUN
iajs-577	48	14	streams	stream	VERB
iajs-577	48	15	in	in	ADV
iajs-577	48	16	with	with	ADP
iajs-577	48	17	a	a	DET
iajs-577	48	18	high	high	ADJ
iajs-577	48	19	density	density	NOUN
iajs-577	48	20	,	,	PUNCT
iajs-577	48	21	low	low	ADJ
iajs-577	48	22	velocity	velocity	NOUN
iajs-577	48	23	,	,	PUNCT
iajs-577	48	24	and	and	CCONJ
iajs-577	48	25	high	high	ADJ
iajs-577	48	26	pressure	pressure	NOUN
iajs-577	48	27	.	.	PUNCT
iajs-577	49	1	results	result	NOUN
iajs-577	49	2	of	of	ADP
iajs-577	49	3	solution	solution	NOUN
iajs-577	49	4	of	of	ADP
iajs-577	49	5	riemann	riemann	PROPN
iajs-577	49	6	problems	problem	NOUN
iajs-577	49	7	for	for	ADP
iajs-577	49	8	euler	euler	NOUN
iajs-577	49	9	equations	equation	NOUN
iajs-577	49	10	is	be	AUX
iajs-577	49	11	shown	show	VERB
iajs-577	49	12	in	in	ADP
iajs-577	49	13	figure	figure	NOUN
iajs-577	49	14	3	3	NUM
iajs-577	49	15	,	,	PUNCT
iajs-577	49	16	and	and	CCONJ
iajs-577	49	17	figure	figure	VERB
iajs-577	49	18	5	5	NUM
iajs-577	49	19	.	.	PUNCT
iajs-577	50	1	on	on	ADP
iajs-577	50	2	the	the	DET
iajs-577	50	3	plot	plot	NOUN
iajs-577	50	4	in	in	ADP
iajs-577	50	5	figure	figure	NOUN
iajs-577	50	6	3	3	NUM
iajs-577	50	7	one	one	NOUN
iajs-577	50	8	can	can	AUX
iajs-577	50	9	see	see	VERB
iajs-577	50	10	the	the	DET
iajs-577	50	11	density	density	NOUN
iajs-577	50	12	jumps	jump	VERB
iajs-577	50	13	through	through	ADP
iajs-577	50	14	the	the	DET
iajs-577	50	15	contact	contact	NOUN
iajs-577	50	16	discontinuity	discontinuity	NOUN
iajs-577	50	17	while	while	SCONJ
iajs-577	50	18	the	the	DET
iajs-577	50	19	speed	speed	NOUN
iajs-577	50	20	of	of	ADP
iajs-577	50	21	the	the	DET
iajs-577	50	22	flow	flow	NOUN
iajs-577	50	23	and	and	CCONJ
iajs-577	50	24	pressure	pressure	NOUN
iajs-577	50	25	are	be	AUX
iajs-577	50	26	the	the	DET
iajs-577	50	27	same	same	ADJ
iajs-577	50	28	.	.	PUNCT
iajs-577	51	1	in	in	ADP
iajs-577	51	2	the	the	DET
iajs-577	51	3	same	same	ADJ
iajs-577	51	4	figure	figure	NOUN
iajs-577	51	5	,	,	PUNCT
iajs-577	51	6	the	the	DET
iajs-577	51	7	expansion	expansion	NOUN
iajs-577	51	8	wave	wave	NOUN
iajs-577	51	9	moves	move	VERB
iajs-577	51	10	to	to	ADP
iajs-577	51	11	the	the	DET
iajs-577	51	12	left	left	NOUN
iajs-577	51	13	into	into	ADP
iajs-577	51	14	the	the	DET
iajs-577	51	15	high	high	ADJ
iajs-577	51	16	pressure	pressure	NOUN
iajs-577	51	17	region	region	NOUN
iajs-577	51	18	,	,	PUNCT
iajs-577	51	19	while	while	SCONJ
iajs-577	51	20	the	the	DET
iajs-577	51	21	shock	shock	NOUN
iajs-577	51	22	and	and	CCONJ
iajs-577	51	23	contact	contact	NOUN
iajs-577	51	24	discontinuity	discontinuity	NOUN
iajs-577	51	25	move	move	NOUN
iajs-577	51	26	to	to	ADP
iajs-577	51	27	the	the	DET
iajs-577	51	28	right	right	NOUN
iajs-577	51	29	into	into	ADP
iajs-577	51	30	the	the	DET
iajs-577	51	31	low	low	ADJ
iajs-577	51	32	pressure	pressure	NOUN
iajs-577	51	33	region	region	NOUN
iajs-577	51	34	.	.	PUNCT
iajs-577	52	1	using	use	VERB
iajs-577	52	2	the	the	DET
iajs-577	52	3	shock	shock	NOUN
iajs-577	52	4	jump	jump	NOUN
iajs-577	52	5	conditions	condition	NOUN
iajs-577	52	6	for	for	ADP
iajs-577	52	7	the	the	DET
iajs-577	52	8	preand	preand	NOUN
iajs-577	52	9	post	post	NOUN
iajs-577	52	10	shock	shock	NOUN
iajs-577	52	11	states	state	NOUN
iajs-577	52	12	,	,	PUNCT
iajs-577	52	13	one	one	PRON
iajs-577	52	14	can	can	AUX
iajs-577	52	15	calculate	calculate	VERB
iajs-577	52	16	the	the	DET
iajs-577	52	17	mach	mach	NOUN
iajs-577	52	18	number	number	NOUN
iajs-577	52	19	characterizing	characterize	VERB
iajs-577	52	20	the	the	DET
iajs-577	52	21	strength	strength	NOUN
iajs-577	52	22	of	of	ADP
iajs-577	52	23	the	the	DET
iajs-577	52	24	shock	shock	NOUN
iajs-577	52	25	in	in	ADP
iajs-577	52	26	the	the	DET
iajs-577	52	27	shock	shock	NOUN
iajs-577	52	28	frame	frame	NOUN
iajs-577	52	29	1.48	1.48	NUM
iajs-577	52	30	,	,	PUNCT
iajs-577	52	31	and	and	CCONJ
iajs-577	52	32	the	the	DET
iajs-577	52	33	shock	shock	NOUN
iajs-577	52	34	velocity	velocity	NOUN
iajs-577	52	35	in	in	ADP
iajs-577	52	36	the	the	DET
iajs-577	52	37	lab	lab	NOUN
iajs-577	52	38	frame	frame	NOUN
iajs-577	52	39	is	be	AUX
iajs-577	52	40	1.8	1.8	NUM
iajs-577	52	41	cm	cm	NOUN
iajs-577	52	42	s	s	PART
iajs-577	52	43	-1	-1	NOUN
iajs-577	52	44	.	.	PUNCT
iajs-577	53	1	the	the	DET
iajs-577	53	2	time	time	NOUN
iajs-577	53	3	evolution	evolution	NOUN
iajs-577	53	4	of	of	ADP
iajs-577	53	5	the	the	DET
iajs-577	53	6	right	right	ADJ
iajs-577	53	7	travelling	travel	VERB
iajs-577	53	8	shock	shock	NOUN
iajs-577	53	9	and	and	CCONJ
iajs-577	53	10	the	the	DET
iajs-577	53	11	left	left	ADJ
iajs-577	53	12	expansion	expansion	NOUN
iajs-577	53	13	wave	wave	NOUN
iajs-577	53	14	shown	show	VERB
iajs-577	53	15	in	in	ADP
iajs-577	53	16	figure	figure	NOUN
iajs-577	53	17	4	4	NUM
iajs-577	53	18	.	.	PUNCT
iajs-577	54	1	in	in	ADP
iajs-577	54	2	this	this	DET
iajs-577	54	3	figure	figure	NOUN
iajs-577	54	4	the	the	DET
iajs-577	54	5	density	density	NOUN
iajs-577	54	6	profile	profile	NOUN
iajs-577	54	7	is	be	AUX
iajs-577	54	8	plotted	plot	VERB
iajs-577	54	9	for	for	ADP
iajs-577	54	10	three	three	NUM
iajs-577	54	11	instants	instant	NOUN
iajs-577	54	12	in	in	ADP
iajs-577	54	13	time	time	NOUN
iajs-577	54	14	.	.	PUNCT
iajs-577	55	1	the	the	DET
iajs-577	55	2	contact	contact	NOUN
iajs-577	55	3	discontinuity	discontinuity	NOUN
iajs-577	55	4	in	in	ADP
iajs-577	55	5	figure	figure	NOUN
iajs-577	55	6	5	5	NUM
iajs-577	55	7	,	,	PUNCT
iajs-577	55	8	travelling	travel	VERB
iajs-577	55	9	slowly	slowly	ADV
iajs-577	55	10	to	to	ADP
iajs-577	55	11	the	the	DET
iajs-577	55	12	right	right	NOUN
iajs-577	55	13	with	with	ADP
iajs-577	55	14	speed	speed	NOUN
iajs-577	55	15	of	of	ADP
iajs-577	55	16	0.8	0.8	NUM
iajs-577	55	17	cm	cm	NUM
iajs-577	55	18	s1	s1	NOUN
iajs-577	55	19	,	,	PUNCT
iajs-577	55	20	shock	shock	NOUN
iajs-577	55	21	moves	move	VERB
iajs-577	55	22	fast	fast	ADV
iajs-577	55	23	to	to	ADP
iajs-577	55	24	the	the	DET
iajs-577	55	25	right	right	NOUN
iajs-577	55	26	with	with	ADP
iajs-577	55	27	speed	speed	NOUN
iajs-577	55	28	of	of	ADP
iajs-577	55	29	1.83	1.83	NUM
iajs-577	55	30	cm	cm	NOUN
iajs-577	55	31	s-1	s-1	NOUN
iajs-577	55	32	,	,	PUNCT
iajs-577	55	33	and	and	CCONJ
iajs-577	55	34	the	the	DET
iajs-577	55	35	expansion	expansion	NOUN
iajs-577	55	36	wave	wave	NOUN
iajs-577	55	37	goes	go	VERB
iajs-577	55	38	to	to	ADP
iajs-577	55	39	the	the	DET
iajs-577	55	40	left	left	NOUN
iajs-577	55	41	with	with	ADP
iajs-577	55	42	speed	speed	NOUN
iajs-577	55	43	of	of	ADP
iajs-577	55	44	1.28	1.28	NUM
iajs-577	55	45	cm	cm	NUM
iajs-577	55	46	s-1	s-1	NOUN
iajs-577	55	47	.	.	PUNCT
iajs-577	56	1	if	if	SCONJ
iajs-577	56	2	we	we	PRON
iajs-577	56	3	compare	compare	VERB
iajs-577	56	4	the	the	DET
iajs-577	56	5	value	value	NOUN
iajs-577	56	6	for	for	ADP
iajs-577	56	7	the	the	DET
iajs-577	56	8	shock	shock	NOUN
iajs-577	56	9	here	here	ADV
iajs-577	56	10	,	,	PUNCT
iajs-577	56	11	it	it	PRON
iajs-577	56	12	is	be	AUX
iajs-577	56	13	close	close	ADJ
iajs-577	56	14	to	to	ADP
iajs-577	56	15	the	the	DET
iajs-577	56	16	previous	previous	ADJ
iajs-577	56	17	value	value	NOUN
iajs-577	56	18	.	.	PUNCT
iajs-577	57	1	so	so	ADV
iajs-577	57	2	,	,	PUNCT
iajs-577	57	3	the	the	DET
iajs-577	57	4	numerical	numerical	ADJ
iajs-577	57	5	solution	solution	NOUN
iajs-577	57	6	is	be	AUX
iajs-577	57	7	close	close	ADJ
iajs-577	57	8	to	to	ADP
iajs-577	57	9	the	the	DET
iajs-577	57	10	exact	exact	ADJ
iajs-577	57	11	solution	solution	NOUN
iajs-577	57	12	in	in	ADP
iajs-577	57	13	case	case	NOUN
iajs-577	57	14	of	of	ADP
iajs-577	57	15	shock	shock	NOUN
iajs-577	57	16	tube	tube	NOUN
iajs-577	57	17	problem	problem	NOUN
iajs-577	57	18	.	.	PUNCT
iajs-577	58	1	figure	figure	NOUN
iajs-577	58	2	5	5	NUM
iajs-577	58	3	,	,	PUNCT
iajs-577	58	4	illustrates	illustrate	VERB
iajs-577	58	5	results	result	NOUN
iajs-577	58	6	of	of	ADP
iajs-577	58	7	riemann	riemann	PROPN
iajs-577	58	8	problem	problem	NOUN
iajs-577	58	9	of	of	ADP
iajs-577	58	10	the	the	DET
iajs-577	58	11	shock	shock	NOUN
iajs-577	58	12	tube	tube	NOUN
iajs-577	58	13	for	for	ADP
iajs-577	58	14	the	the	DET
iajs-577	58	15	mach	mach	NOUN
iajs-577	58	16	number	number	NOUN
iajs-577	58	17	μ	μ	PROPN
iajs-577	58	18	in	in	ADP
iajs-577	58	19	the	the	DET
iajs-577	58	20	lab	lab	NOUN
iajs-577	58	21	frame	frame	NOUN
iajs-577	58	22	,	,	PUNCT
iajs-577	58	23	specific	specific	ADJ
iajs-577	58	24	internal	internal	ADJ
iajs-577	58	25	energy	energy	NOUN
iajs-577	58	26	,	,	PUNCT
iajs-577	58	27	total	total	ADJ
iajs-577	58	28	energy	energy	NOUN
iajs-577	58	29	density	density	NOUN
iajs-577	58	30	,	,	PUNCT
iajs-577	58	31	and	and	CCONJ
iajs-577	58	32	entropy	entropy	VERB
iajs-577	58	33	related	relate	VERB
iajs-577	58	34	quantity	quantity	NOUN
iajs-577	58	35	.	.	PUNCT
iajs-577	59	1	it	it	PRON
iajs-577	59	2	is	be	AUX
iajs-577	59	3	physics	physics	NOUN
iajs-577	59	4	145	145	NUM
iajs-577	59	5	مجلة	مجلة	NOUN
iajs-577	59	6	إبن	إبن	VERB
iajs-577	59	7	الهيثم	الهيثم	ADJ
iajs-577	59	8	للعلوم	للعلوم	NOUN
iajs-577	59	9	الصرفة	الصرفة	NOUN
iajs-577	59	10	و	و	PRON
iajs-577	59	11	التطبيقية	التطبيقية	ADJ
iajs-577	59	12	2012	2012	NUM
iajs-577	59	13	السنة	السنة	NOUN
iajs-577	60	1	25	25	NUM
iajs-577	60	2	المجلد	المجلد	NOUN
iajs-577	60	3	3	3	NUM
iajs-577	60	4	العدد	العدد	PROPN
iajs-577	60	5	ibn	ibn	PROPN
iajs-577	60	6	al	al	PROPN
iajs-577	60	7	-	-	PUNCT
iajs-577	60	8	haitham	haitham	PROPN
iajs-577	60	9	journal	journal	PROPN
iajs-577	60	10	for	for	ADP
iajs-577	60	11	pure	pure	ADJ
iajs-577	60	12	and	and	CCONJ
iajs-577	60	13	applied	apply	VERB
iajs-577	60	14	science	science	NOUN
iajs-577	60	15	no	no	NOUN
iajs-577	60	16	.	.	NOUN
iajs-577	60	17	3	3	NUM
iajs-577	60	18	vol	vol	NOUN
iajs-577	60	19	.	.	PUNCT
iajs-577	61	1	25	25	NUM
iajs-577	61	2	year	year	NOUN
iajs-577	61	3	2012	2012	NUM
iajs-577	61	4	clear	clear	ADJ
iajs-577	61	5	that	that	SCONJ
iajs-577	61	6	there	there	PRON
iajs-577	61	7	is	be	VERB
iajs-577	61	8	a	a	DET
iajs-577	61	9	jump	jump	NOUN
iajs-577	61	10	in	in	ADP
iajs-577	61	11	the	the	DET
iajs-577	61	12	mach	mach	NOUN
iajs-577	61	13	number	number	NOUN
iajs-577	61	14	,	,	PUNCT
iajs-577	61	15	specific	specific	ADJ
iajs-577	61	16	internal	internal	ADJ
iajs-577	61	17	energy	energy	NOUN
iajs-577	61	18	density	density	NOUN
iajs-577	61	19	,	,	PUNCT
iajs-577	61	20	the	the	DET
iajs-577	61	21	total	total	ADJ
iajs-577	61	22	energy	energy	NOUN
iajs-577	61	23	density	density	NOUN
iajs-577	61	24	,	,	PUNCT
iajs-577	61	25	and	and	CCONJ
iajs-577	61	26	the	the	DET
iajs-577	61	27	entropy	entropy	NOUN
iajs-577	61	28	related	relate	VERB
iajs-577	61	29	quantity	quantity	NOUN
iajs-577	61	30	across	across	ADP
iajs-577	61	31	the	the	DET
iajs-577	61	32	shock	shock	NOUN
iajs-577	61	33	and	and	CCONJ
iajs-577	61	34	at	at	ADP
iajs-577	61	35	the	the	DET
iajs-577	61	36	contact	contact	NOUN
iajs-577	61	37	discontinuity	discontinuity	NOUN
iajs-577	61	38	.	.	PUNCT
iajs-577	62	1	conclusions	conclusion	NOUN
iajs-577	62	2	this	this	DET
iajs-577	62	3	work	work	NOUN
iajs-577	62	4	discusses	discuss	VERB
iajs-577	62	5	the	the	DET
iajs-577	62	6	propagation	propagation	NOUN
iajs-577	62	7	of	of	ADP
iajs-577	62	8	shock	shock	NOUN
iajs-577	62	9	waves	wave	NOUN
iajs-577	62	10	through	through	ADP
iajs-577	62	11	a	a	DET
iajs-577	62	12	shock	shock	NOUN
iajs-577	62	13	tube	tube	NOUN
iajs-577	62	14	.	.	PUNCT
iajs-577	63	1	it	it	PRON
iajs-577	63	2	was	be	AUX
iajs-577	63	3	found	find	VERB
iajs-577	63	4	that	that	SCONJ
iajs-577	63	5	the	the	DET
iajs-577	63	6	gas	gas	NOUN
iajs-577	63	7	to	to	ADP
iajs-577	63	8	the	the	DET
iajs-577	63	9	left	left	NOUN
iajs-577	63	10	and	and	CCONJ
iajs-577	63	11	right	right	NOUN
iajs-577	63	12	of	of	ADP
iajs-577	63	13	the	the	DET
iajs-577	63	14	diaphragm	diaphragm	NOUN
iajs-577	63	15	is	be	AUX
iajs-577	63	16	initially	initially	ADV
iajs-577	63	17	at	at	ADP
iajs-577	63	18	rest	rest	NOUN
iajs-577	63	19	.	.	PUNCT
iajs-577	64	1	the	the	DET
iajs-577	64	2	pressure	pressure	NOUN
iajs-577	64	3	and	and	CCONJ
iajs-577	64	4	density	density	NOUN
iajs-577	64	5	are	be	AUX
iajs-577	64	6	discontinuous	discontinuous	ADJ
iajs-577	64	7	across	across	ADP
iajs-577	64	8	the	the	DET
iajs-577	64	9	diaphragm	diaphragm	PROPN
iajs-577	64	10	.	.	PUNCT
iajs-577	65	1	at	at	ADP
iajs-577	65	2	t	t	PROPN
iajs-577	65	3	=	=	SYM
iajs-577	65	4	0	0	PROPN
iajs-577	65	5	,	,	PUNCT
iajs-577	65	6	the	the	DET
iajs-577	65	7	diaphragm	diaphragm	NOUN
iajs-577	65	8	is	be	AUX
iajs-577	65	9	broken	break	VERB
iajs-577	65	10	.	.	PUNCT
iajs-577	66	1	three	three	NUM
iajs-577	66	2	types	type	NOUN
iajs-577	66	3	of	of	ADP
iajs-577	66	4	discontinuity	discontinuity	NOUN
iajs-577	66	5	then	then	ADV
iajs-577	66	6	propagate	propagate	VERB
iajs-577	66	7	through	through	ADP
iajs-577	66	8	the	the	DET
iajs-577	66	9	gas	gas	NOUN
iajs-577	66	10	:	:	PUNCT
iajs-577	66	11	•	•	NUM
iajs-577	66	12	contact	contact	NOUN
iajs-577	66	13	discontinuity	discontinuity	NOUN
iajs-577	66	14	:	:	PUNCT
iajs-577	66	15	the	the	DET
iajs-577	66	16	pressure	pressure	NOUN
iajs-577	66	17	p	p	NOUN
iajs-577	66	18	and	and	CCONJ
iajs-577	66	19	velocity	velocity	NOUN
iajs-577	66	20	u	u	NOUN
iajs-577	66	21	are	be	AUX
iajs-577	66	22	continuous	continuous	ADJ
iajs-577	66	23	,	,	PUNCT
iajs-577	66	24	but	but	CCONJ
iajs-577	66	25	the	the	DET
iajs-577	66	26	density	density	NOUN
iajs-577	66	27	ρ	ρ	PROPN
iajs-577	66	28	,	,	PUNCT
iajs-577	66	29	mach	mach	NOUN
iajs-577	66	30	number	number	NOUN
iajs-577	66	31	,	,	PUNCT
iajs-577	66	32	specific	specific	ADJ
iajs-577	66	33	internal	internal	ADJ
iajs-577	66	34	energy	energy	NOUN
iajs-577	66	35	density	density	NOUN
iajs-577	66	36	,	,	PUNCT
iajs-577	66	37	the	the	DET
iajs-577	66	38	total	total	ADJ
iajs-577	66	39	energy	energy	NOUN
iajs-577	66	40	density	density	NOUN
iajs-577	66	41	,	,	PUNCT
iajs-577	66	42	and	and	CCONJ
iajs-577	66	43	the	the	DET
iajs-577	66	44	entropy	entropy	NOUN
iajs-577	66	45	related	relate	VERB
iajs-577	66	46	quantity	quantity	NOUN
iajs-577	66	47	are	be	AUX
iajs-577	66	48	discontinuous	discontinuous	ADJ
iajs-577	66	49	.	.	PUNCT
iajs-577	67	1	•	•	NOUN
iajs-577	67	2	shock	shock	NOUN
iajs-577	67	3	waves	wave	NOUN
iajs-577	67	4	:	:	PUNCT
iajs-577	67	5	all	all	DET
iajs-577	67	6	quantities	quantity	NOUN
iajs-577	67	7	p	p	X
iajs-577	67	8	,	,	PUNCT
iajs-577	67	9	u	u	PROPN
iajs-577	67	10	,	,	PUNCT
iajs-577	67	11	ρ	ρ	PROPN
iajs-577	67	12	,	,	PUNCT
iajs-577	67	13	mach	mach	NOUN
iajs-577	67	14	number	number	NOUN
iajs-577	67	15	,	,	PUNCT
iajs-577	67	16	specific	specific	ADJ
iajs-577	67	17	internal	internal	ADJ
iajs-577	67	18	energy	energy	NOUN
iajs-577	67	19	density	density	NOUN
iajs-577	67	20	,	,	PUNCT
iajs-577	67	21	the	the	DET
iajs-577	67	22	total	total	ADJ
iajs-577	67	23	energy	energy	NOUN
iajs-577	67	24	density	density	NOUN
iajs-577	67	25	,	,	PUNCT
iajs-577	67	26	and	and	CCONJ
iajs-577	67	27	the	the	DET
iajs-577	67	28	entropy	entropy	NOUN
iajs-577	67	29	related	relate	VERB
iajs-577	67	30	quantity	quantity	NOUN
iajs-577	67	31	are	be	AUX
iajs-577	67	32	in	in	ADP
iajs-577	67	33	general	general	ADJ
iajs-577	67	34	discontinuous	discontinuous	NOUN
iajs-577	67	35	across	across	ADP
iajs-577	67	36	the	the	DET
iajs-577	67	37	shock	shock	NOUN
iajs-577	67	38	front	front	NOUN
iajs-577	67	39	.	.	PUNCT
iajs-577	68	1	•	•	NUM
iajs-577	68	2	expansion	expansion	NOUN
iajs-577	68	3	wave	wave	NOUN
iajs-577	68	4	:	:	PUNCT
iajs-577	68	5	which	which	PRON
iajs-577	68	6	is	be	AUX
iajs-577	68	7	basically	basically	ADV
iajs-577	68	8	the	the	DET
iajs-577	68	9	reverse	reverse	NOUN
iajs-577	68	10	of	of	ADP
iajs-577	68	11	a	a	DET
iajs-577	68	12	shock	shock	NOUN
iajs-577	68	13	wave	wave	NOUN
iajs-577	68	14	.	.	PUNCT
iajs-577	69	1	it	it	PRON
iajs-577	69	2	was	be	AUX
iajs-577	69	3	found	find	VERB
iajs-577	69	4	also	also	ADV
iajs-577	69	5	that	that	SCONJ
iajs-577	69	6	the	the	DET
iajs-577	69	7	numerical	numerical	ADJ
iajs-577	69	8	calculations	calculation	NOUN
iajs-577	69	9	of	of	ADP
iajs-577	69	10	the	the	DET
iajs-577	69	11	velocities	velocity	NOUN
iajs-577	69	12	of	of	ADP
iajs-577	69	13	the	the	DET
iajs-577	69	14	three	three	NUM
iajs-577	69	15	discontinuities	discontinuity	NOUN
iajs-577	69	16	give	give	VERB
iajs-577	69	17	similar	similar	ADJ
iajs-577	69	18	speed	speed	NOUN
iajs-577	69	19	of	of	ADP
iajs-577	69	20	the	the	DET
iajs-577	69	21	3	3	NUM
iajs-577	69	22	discontinuities	discontinuity	NOUN
iajs-577	69	23	by	by	ADP
iajs-577	69	24	looking	look	VERB
iajs-577	69	25	at	at	ADP
iajs-577	69	26	a	a	DET
iajs-577	69	27	range	range	NOUN
iajs-577	69	28	of	of	ADP
iajs-577	69	29	outputs	output	NOUN
iajs-577	69	30	(	(	PUNCT
iajs-577	69	31	figure	figure	NOUN
iajs-577	69	32	4	4	NUM
iajs-577	69	33	)	)	PUNCT
iajs-577	69	34	.	.	PUNCT
iajs-577	70	1	references	reference	NOUN
iajs-577	70	2	1	1	NUM
iajs-577	70	3	.	.	PUNCT
iajs-577	71	1	clarke	clarke	PROPN
iajs-577	71	2	,	,	PUNCT
iajs-577	71	3	c.	c.	PROPN
iajs-577	71	4	and	and	CCONJ
iajs-577	71	5	carswell	carswell	PROPN
iajs-577	71	6	,	,	PUNCT
iajs-577	71	7	r.	r.	PROPN
iajs-577	71	8	(	(	PUNCT
iajs-577	71	9	2007	2007	NUM
iajs-577	71	10	)	)	PUNCT
iajs-577	71	11	,	,	PUNCT
iajs-577	71	12	principle	principle	NOUN
iajs-577	71	13	of	of	ADP
iajs-577	71	14	astrophysical	astrophysical	ADJ
iajs-577	71	15	fluid	fluid	NOUN
iajs-577	71	16	dynamics	dynamic	NOUN
iajs-577	71	17	,	,	PUNCT
iajs-577	71	18	cambridge	cambridge	PROPN
iajs-577	71	19	university	university	PROPN
iajs-577	71	20	press	press	NOUN
iajs-577	71	21	,	,	PUNCT
iajs-577	71	22	uk	uk	PROPN
iajs-577	71	23	.	.	PROPN
iajs-577	71	24	2	2	NUM
iajs-577	71	25	.	.	X
iajs-577	71	26	sod	sod	NOUN
iajs-577	71	27	,	,	PUNCT
iajs-577	71	28	g.	g.	PROPN
iajs-577	71	29	(	(	PUNCT
iajs-577	71	30	1991	1991	NUM
iajs-577	71	31	)	)	PUNCT
iajs-577	71	32	,	,	PUNCT
iajs-577	71	33	numerical	numerical	ADJ
iajs-577	71	34	relativistic	relativistic	ADJ
iajs-577	71	35	hydrodynamics	hydrodynamic	NOUN
iajs-577	71	36	:	:	PUNCT
iajs-577	71	37	local	local	ADJ
iajs-577	71	38	characteristic	characteristic	ADJ
iajs-577	71	39	approach	approach	NOUN
iajs-577	71	40	,	,	PUNCT
iajs-577	71	41	j.	j.	PROPN
iajs-577	71	42	comp	comp	PROPN
iajs-577	71	43	.	.	PUNCT
iajs-577	72	1	phys	phy	NOUN
iajs-577	72	2	.	.	PUNCT
iajs-577	72	3	,	,	PUNCT
iajs-577	72	4	27,(1	27,(1	NUM
iajs-577	72	5	)	)	PUNCT
iajs-577	72	6	.	.	PUNCT
iajs-577	73	1	3	3	X
iajs-577	73	2	.	.	X
iajs-577	73	3	kamali	kamali	PROPN
iajs-577	73	4	,	,	PUNCT
iajs-577	73	5	r.	r.	PROPN
iajs-577	73	6	,	,	PUNCT
iajs-577	73	7	et	et	PROPN
iajs-577	73	8	al	al	PROPN
iajs-577	73	9	,	,	PUNCT
iajs-577	73	10	(	(	PUNCT
iajs-577	73	11	2006	2006	NUM
iajs-577	73	12	)	)	PUNCT
iajs-577	73	13	,	,	PUNCT
iajs-577	73	14	numerical	numerical	ADJ
iajs-577	73	15	solution	solution	NOUN
iajs-577	73	16	of	of	ADP
iajs-577	73	17	compressible	compressible	ADJ
iajs-577	73	18	euler	euler	NOUN
iajs-577	73	19	equations	equation	NOUN
iajs-577	73	20	for	for	ADP
iajs-577	73	21	gas	gas	NOUN
iajs-577	73	22	mixture	mixture	NOUN
iajs-577	73	23	applications	application	NOUN
iajs-577	73	24	,	,	PUNCT
iajs-577	73	25	scientia	scientia	PROPN
iajs-577	73	26	iranica	iranica	PROPN
iajs-577	73	27	,	,	PUNCT
iajs-577	73	28	13	13	NUM
iajs-577	73	29	(	(	PUNCT
iajs-577	73	30	3),university	3),university	NUM
iajs-577	73	31	of	of	ADP
iajs-577	73	32	technology	technology	NOUN
iajs-577	73	33	.	.	PUNCT
iajs-577	74	1	4	4	X
iajs-577	74	2	.	.	X
iajs-577	74	3	browne	browne	PROPN
iajs-577	74	4	,	,	PUNCT
iajs-577	74	5	s.	s.	PROPN
iajs-577	74	6	;	;	PUNCT
iajs-577	74	7	browne	browne	PROPN
iajs-577	74	8	,	,	PUNCT
iajs-577	74	9	j.	j.	PROPN
iajs-577	74	10	and	and	CCONJ
iajs-577	74	11	shepherd	shepherd	PROPN
iajs-577	74	12	,	,	PUNCT
iajs-577	74	13	j.	j.	PROPN
iajs-577	74	14	e.	e.	PROPN
iajs-577	74	15	galcit	galcit	PROPN
iajs-577	74	16	report	report	PROPN
iajs-577	74	17	fm	fm	PROPN
iajs-577	74	18	2006.006	2006.006	NUM
iajs-577	74	19	,	,	PUNCT
iajs-577	74	20	july	july	PROPN
iajs-577	74	21	(	(	PUNCT
iajs-577	74	22	2004)-revised	2004)-revised	ADJ
iajs-577	74	23	august	august	PROPN
iajs-577	74	24	29	29	NUM
iajs-577	74	25	,	,	PUNCT
iajs-577	74	26	(	(	PUNCT
iajs-577	74	27	2008	2008	NUM
iajs-577	74	28	)	)	PUNCT
iajs-577	74	29	,	,	PUNCT
iajs-577	74	30	numerical	numerical	ADJ
iajs-577	74	31	solution	solution	NOUN
iajs-577	74	32	methods	method	NOUN
iajs-577	74	33	for	for	ADP
iajs-577	74	34	shock	shock	NOUN
iajs-577	74	35	and	and	CCONJ
iajs-577	74	36	detonation	detonation	NOUN
iajs-577	74	37	jump	jump	NOUN
iajs-577	74	38	conditions	condition	NOUN
iajs-577	74	39	,	,	PUNCT
iajs-577	74	40	california	california	PROPN
iajs-577	74	41	institute	institute	PROPN
iajs-577	74	42	of	of	ADP
iajs-577	74	43	technology	technology	PROPN
iajs-577	74	44	.	.	PUNCT
iajs-577	75	1	5	5	X
iajs-577	75	2	.	.	X
iajs-577	75	3	deconinck	deconinck	NOUN
iajs-577	75	4	,	,	PUNCT
iajs-577	75	5	h.	h.	PROPN
iajs-577	75	6	and	and	CCONJ
iajs-577	75	7	dick	dick	PROPN
iajs-577	75	8	e.	e.	PROPN
iajs-577	75	9	(	(	PUNCT
iajs-577	75	10	2009	2009	NUM
iajs-577	75	11	)	)	PUNCT
iajs-577	75	12	,	,	PUNCT
iajs-577	75	13	computational	computational	ADJ
iajs-577	75	14	fluid	fluid	NOUN
iajs-577	75	15	dynamics	dynamic	NOUN
iajs-577	75	16	,	,	PUNCT
iajs-577	75	17	springer	springer	NOUN
iajs-577	75	18	verlag	verlag	PROPN
iajs-577	75	19	berlin	berlin	PROPN
iajs-577	75	20	heidelberg	heidelberg	PROPN
iajs-577	75	21	.	.	PUNCT
iajs-577	76	1	regions	region	NOUN
iajs-577	76	2	density	density	NOUN
iajs-577	76	3	(	(	PUNCT
iajs-577	76	4	g	g	PROPN
iajs-577	76	5	cm-1	cm-1	NOUN
iajs-577	76	6	s-1	s-1	PROPN
iajs-577	76	7	)	)	PUNCT
iajs-577	76	8	velocity	velocity	NOUN
iajs-577	76	9	(	(	PUNCT
iajs-577	76	10	cm	cm	NOUN
iajs-577	76	11	s-1	s-1	NOUN
iajs-577	76	12	)	)	PUNCT
iajs-577	76	13	pressure	pressure	NOUN
iajs-577	76	14	(	(	PUNCT
iajs-577	76	15	g	g	PROPN
iajs-577	76	16	cm-1	cm-1	PROPN
iajs-577	76	17	s-2	s-2	PROPN
iajs-577	76	18	)	)	PUNCT
iajs-577	77	1	right	right	ADV
iajs-577	77	2	0.125	0.125	NUM
iajs-577	77	3	0	0	NUM
iajs-577	77	4	0.1	0.1	NUM
iajs-577	77	5	left	leave	VERB
iajs-577	77	6	1.0	1.0	NUM
iajs-577	77	7	0	0	NUM
iajs-577	77	8	1.0	1.0	NUM
iajs-577	77	9	table(1	table(1	NOUN
iajs-577	77	10	):	):	PUNCT
iajs-577	77	11	initial	initial	ADJ
iajs-577	77	12	conditions	condition	NOUN
iajs-577	77	13	for	for	ADP
iajs-577	77	14	shock	shock	NOUN
iajs-577	77	15	tube	tube	NOUN
iajs-577	77	16	problems	problem	NOUN
iajs-577	77	17	physics	physics	PROPN
iajs-577	77	18	146	146	NUM
iajs-577	77	19	مجلة	مجلة	NOUN
iajs-577	77	20	إبن	إبن	VERB
iajs-577	77	21	الهيثم	الهيثم	ADJ
iajs-577	77	22	للعلوم	للعلوم	NOUN
iajs-577	77	23	الصرفة	الصرفة	NOUN
iajs-577	77	24	و	و	PRON
iajs-577	77	25	التطبيقية	التطبيقية	ADJ
iajs-577	77	26	2012	2012	NUM
iajs-577	77	27	السنة	السنة	NOUN
iajs-577	78	1	25	25	NUM
iajs-577	79	1	المجلد	المجلد	NOUN
iajs-577	80	1	3	3	NUM
iajs-577	81	1	العدد	العدد	PROPN
iajs-577	81	2	ibn	ibn	PROPN
iajs-577	81	3	al	al	PROPN
iajs-577	81	4	-	-	PUNCT
iajs-577	81	5	haitham	haitham	PROPN
iajs-577	81	6	journal	journal	PROPN
iajs-577	81	7	for	for	ADP
iajs-577	81	8	pure	pure	ADJ
iajs-577	81	9	and	and	CCONJ
iajs-577	81	10	applied	apply	VERB
iajs-577	81	11	science	science	NOUN
iajs-577	81	12	no	no	NOUN
iajs-577	81	13	.	.	NOUN
iajs-577	81	14	3	3	NUM
iajs-577	81	15	vol	vol	NOUN
iajs-577	81	16	.	.	PUNCT
iajs-577	82	1	25	25	NUM
iajs-577	82	2	year	year	NOUN
iajs-577	82	3	2012	2012	NUM
iajs-577	82	4	fig	fig	NOUN
iajs-577	82	5	.	.	PUNCT
iajs-577	83	1	(	(	PUNCT
iajs-577	83	2	1	1	NUM
iajs-577	83	3	):	):	PUNCT
iajs-577	83	4	the	the	DET
iajs-577	83	5	riemann	riemann	PROPN
iajs-577	83	6	problem	problem	PROPN
iajs-577	83	7	fig	fig	PROPN
iajs-577	83	8	(	(	PUNCT
iajs-577	83	9	2	2	NUM
iajs-577	83	10	):	):	PUNCT
iajs-577	83	11	collision	collision	NOUN
iajs-577	83	12	of	of	ADP
iajs-577	83	13	two	two	NUM
iajs-577	83	14	flows	flow	NOUN
iajs-577	83	15	physics	physics	NOUN
iajs-577	83	16	147	147	NUM
iajs-577	83	17	مجلة	مجلة	PROPN
iajs-577	83	18	إبن	إبن	VERB
iajs-577	83	19	الهيثم	الهيثم	ADJ
iajs-577	83	20	للعلوم	للعلوم	NOUN
iajs-577	83	21	الصرفة	الصرفة	NOUN
iajs-577	84	1	و	و	PRON
iajs-577	84	2	التطبيقية	التطبيقية	ADJ
iajs-577	84	3	2012	2012	NUM
iajs-577	84	4	السنة	السنة	NOUN
iajs-577	84	5	25	25	NUM
iajs-577	84	6	المجلد	المجلد	NOUN
iajs-577	84	7	3	3	NUM
iajs-577	84	8	العدد	العدد	PROPN
iajs-577	84	9	ibn	ibn	PROPN
iajs-577	84	10	al	al	PROPN
iajs-577	84	11	-	-	PUNCT
iajs-577	84	12	haitham	haitham	PROPN
iajs-577	84	13	journal	journal	PROPN
iajs-577	84	14	for	for	ADP
iajs-577	84	15	pure	pure	ADJ
iajs-577	84	16	and	and	CCONJ
iajs-577	84	17	applied	apply	VERB
iajs-577	84	18	science	science	NOUN
iajs-577	84	19	no	no	NOUN
iajs-577	84	20	.	.	NOUN
iajs-577	84	21	3	3	NUM
iajs-577	84	22	vol	vol	NOUN
iajs-577	84	23	.	.	PUNCT
iajs-577	85	1	25	25	NUM
iajs-577	85	2	year	year	NOUN
iajs-577	85	3	2012	2012	NUM
iajs-577	85	4	fig.(3	fig.(3	NUM
iajs-577	85	5	):	):	PUNCT
iajs-577	85	6	results	result	NOUN
iajs-577	85	7	of	of	ADP
iajs-577	85	8	the	the	DET
iajs-577	85	9	shock	shock	NOUN
iajs-577	85	10	tube	tube	NOUN
iajs-577	85	11	problem	problem	NOUN
iajs-577	85	12	.	.	PUNCT
iajs-577	86	1	the	the	DET
iajs-577	86	2	figure	figure	NOUN
iajs-577	86	3	is	be	AUX
iajs-577	86	4	show	show	VERB
iajs-577	86	5	the	the	DET
iajs-577	86	6	density	density	NOUN
iajs-577	86	7	profile	profile	NOUN
iajs-577	86	8	in	in	ADP
iajs-577	86	9	blue	blue	ADJ
iajs-577	86	10	color	color	NOUN
iajs-577	86	11	,	,	PUNCT
iajs-577	86	12	velocity	velocity	NOUN
iajs-577	86	13	profile	profile	NOUN
iajs-577	86	14	in	in	ADP
iajs-577	86	15	green	green	ADJ
iajs-577	86	16	color	color	NOUN
iajs-577	86	17	,	,	PUNCT
iajs-577	86	18	and	and	CCONJ
iajs-577	86	19	the	the	DET
iajs-577	86	20	pressure	pressure	NOUN
iajs-577	86	21	profile	profile	NOUN
iajs-577	86	22	in	in	ADP
iajs-577	86	23	red	red	ADJ
iajs-577	86	24	color	color	NOUN
iajs-577	86	25	.	.	PUNCT
iajs-577	87	1	the	the	DET
iajs-577	87	2	velocity	velocity	NOUN
iajs-577	87	3	and	and	CCONJ
iajs-577	87	4	pressure	pressure	NOUN
iajs-577	87	5	are	be	AUX
iajs-577	87	6	continuous	continuous	ADJ
iajs-577	87	7	at	at	ADP
iajs-577	87	8	the	the	DET
iajs-577	87	9	contact	contact	NOUN
iajs-577	87	10	discontinuity	discontinuity	NOUN
iajs-577	87	11	.	.	PUNCT
iajs-577	88	1	the	the	DET
iajs-577	88	2	size	size	NOUN
iajs-577	88	3	of	of	ADP
iajs-577	88	4	the	the	DET
iajs-577	88	5	time	time	NOUN
iajs-577	88	6	step	step	NOUN
iajs-577	88	7	was	be	AUX
iajs-577	88	8	controlled	control	VERB
iajs-577	88	9	by	by	ADP
iajs-577	88	10	the	the	DET
iajs-577	88	11	cfl	cfl	NOUN
iajs-577	88	12	condition	condition	NOUN
iajs-577	88	13	with	with	ADP
iajs-577	88	14	cfl	cfl	NOUN
iajs-577	88	15	number	number	NOUN
iajs-577	88	16	of	of	ADP
iajs-577	88	17	0.5	0.5	NUM
iajs-577	88	18	fig	fig	NOUN
iajs-577	88	19	.	.	PUNCT
iajs-577	89	1	(	(	PUNCT
iajs-577	89	2	4	4	NUM
iajs-577	89	3	):	):	PUNCT
iajs-577	89	4	density	density	NOUN
iajs-577	89	5	profile	profile	NOUN
iajs-577	89	6	along	along	ADP
iajs-577	89	7	the	the	DET
iajs-577	89	8	shock	shock	NOUN
iajs-577	89	9	tube	tube	NOUN
iajs-577	89	10	for	for	ADP
iajs-577	89	11	different	different	ADJ
iajs-577	89	12	time	time	NOUN
iajs-577	89	13	steps	step	NOUN
iajs-577	89	14	.	.	PUNCT
iajs-577	90	1	initial	initial	ADJ
iajs-577	90	2	discontinuity	discontinuity	NOUN
iajs-577	90	3	at	at	ADP
iajs-577	90	4	x	x	X
iajs-577	90	5	=	=	SYM
iajs-577	90	6	0	0	NUM
iajs-577	90	7	physics	physics	NOUN
iajs-577	90	8	148	148	NUM
iajs-577	90	9	مجلة	مجلة	NOUN
iajs-577	90	10	إبن	إبن	VERB
iajs-577	90	11	الهيثم	الهيثم	ADJ
iajs-577	90	12	للعلوم	للعلوم	NOUN
iajs-577	90	13	الصرفة	الصرفة	NOUN
iajs-577	91	1	و	و	PRON
iajs-577	91	2	التطبيقية	التطبيقية	ADJ
iajs-577	91	3	2012	2012	NUM
iajs-577	91	4	السنة	السنة	NOUN
iajs-577	91	5	25	25	NUM
iajs-577	91	6	المجلد	المجلد	NOUN
iajs-577	91	7	3	3	NUM
iajs-577	91	8	العدد	العدد	PROPN
iajs-577	91	9	ibn	ibn	PROPN
iajs-577	91	10	al	al	PROPN
iajs-577	91	11	-	-	PUNCT
iajs-577	91	12	haitham	haitham	PROPN
iajs-577	91	13	journal	journal	PROPN
iajs-577	91	14	for	for	ADP
iajs-577	91	15	pure	pure	ADJ
iajs-577	91	16	and	and	CCONJ
iajs-577	91	17	applied	apply	VERB
iajs-577	91	18	science	science	NOUN
iajs-577	91	19	no	no	NOUN
iajs-577	91	20	.	.	NOUN
iajs-577	91	21	3	3	NUM
iajs-577	91	22	vol	vol	NOUN
iajs-577	91	23	.	.	PUNCT
iajs-577	92	1	25	25	NUM
iajs-577	92	2	year	year	NOUN
iajs-577	92	3	2012	2012	NUM
iajs-577	92	4	fig	fig	NOUN
iajs-577	92	5	.	.	PUNCT
iajs-577	93	1	(	(	PUNCT
iajs-577	93	2	5	5	NUM
iajs-577	93	3	):	):	PUNCT
iajs-577	93	4	the	the	DET
iajs-577	93	5	mach	mach	NOUN
iajs-577	93	6	number	number	NOUN
iajs-577	93	7	,	,	PUNCT
iajs-577	93	8	specific	specific	ADJ
iajs-577	93	9	internal	internal	ADJ
iajs-577	93	10	energy	energy	NOUN
iajs-577	93	11	,	,	PUNCT
iajs-577	93	12	total	total	ADJ
iajs-577	93	13	energy	energy	NOUN
iajs-577	93	14	density	density	NOUN
iajs-577	93	15	,	,	PUNCT
iajs-577	93	16	and	and	CCONJ
iajs-577	93	17	entropy	entropy	VERB
iajs-577	93	18	related	relate	VERB
iajs-577	93	19	quantity	quantity	NOUN
iajs-577	93	20	,	,	PUNCT
iajs-577	93	21	as	as	ADP
iajs-577	93	22	a	a	DET
iajs-577	93	23	function	function	NOUN
iajs-577	93	24	of	of	ADP
iajs-577	93	25	position	position	NOUN
iajs-577	93	26	physics	physics	NOUN
iajs-577	93	27	149	149	NUM
iajs-577	93	28	مجلة	مجلة	NOUN
iajs-577	93	29	إبن	إبن	VERB
iajs-577	93	30	الهيثم	الهيثم	ADJ
iajs-577	93	31	للعلوم	للعلوم	NOUN
iajs-577	93	32	الصرفة	الصرفة	NOUN
iajs-577	94	1	و	و	PRON
iajs-577	94	2	التطبيقية	التطبيقية	ADJ
iajs-577	94	3	2012	2012	NUM
iajs-577	94	4	السنة	السنة	NOUN
iajs-577	94	5	25	25	NUM
iajs-577	94	6	المجلد	المجلد	NOUN
iajs-577	94	7	3	3	NUM
iajs-577	94	8	العدد	العدد	PROPN
iajs-577	94	9	ibn	ibn	PROPN
iajs-577	94	10	al	al	PROPN
iajs-577	94	11	-	-	PUNCT
iajs-577	94	12	haitham	haitham	PROPN
iajs-577	94	13	journal	journal	PROPN
iajs-577	94	14	for	for	ADP
iajs-577	94	15	pure	pure	ADJ
iajs-577	94	16	and	and	CCONJ
iajs-577	94	17	applied	apply	VERB
iajs-577	94	18	science	science	NOUN
iajs-577	94	19	no	no	NOUN
iajs-577	94	20	.	.	NOUN
iajs-577	94	21	3	3	NUM
iajs-577	94	22	vol	vol	NOUN
iajs-577	94	23	.	.	PUNCT
iajs-577	95	1	25	25	NUM
iajs-577	95	2	year	year	NOUN
iajs-577	95	3	2012	2012	NUM
iajs-577	95	4	الخصائص	الخصائص	VERB
iajs-577	95	5	الفيزيائية	الفيزيائية	PROPN
iajs-577	95	6	للغاز	للغاز	NOUN
iajs-577	95	7	في	في	X
iajs-577	95	8	تحليالت	تحليالت	PROPN
iajs-577	95	9	عددية	عددية	PROPN
iajs-577	95	10	لدراسة	لدراسة	PROPN
iajs-577	95	11	تأثيرات	تأثيرات	PROPN
iajs-577	95	12	مشاكل	مشاكل	PROPN
iajs-577	95	13	ريمان	ريمان	PROPN
iajs-577	95	14	الداينميكي	الداينميكي	PROPN
iajs-577	95	15	الفيزيائي	الفيزيائي	PROPN
iajs-577	95	16	الفلكي	الفلكي	VERB
iajs-577	95	17	ليالي	ليالي	NOUN
iajs-577	95	18	يحيى	يحيى	PROPN
iajs-577	95	19	صالح	صالح	PROPN
iajs-577	95	20	ألمشهداني	ألمشهداني	PROPN
iajs-577	95	21	جامعة	جامعة	PROPN
iajs-577	95	22	بغدادابن	بغدادابن	PROPN
iajs-577	95	23	ألهيثم	ألهيثم	PROPN
iajs-577	95	24	،	،	PROPN
iajs-577	95	25	–	–	PUNCT
iajs-577	95	26	كلية	كلية	NOUN
iajs-577	95	27	التربية	التربية	NOUN
iajs-577	95	28	قسم	قسم	PROPN
iajs-577	95	29	الفيزياء	الفيزياء	PROPN
iajs-577	95	30	،	،	PROPN
iajs-577	96	1	2012شباط	2012شباط	PROPN
iajs-577	96	2	26قبل	26قبل	NOUN
iajs-577	96	3	البحث	البحث	VERB
iajs-577	96	4	في	في	ADP
iajs-577	96	5	2011ايلول	2011ايلول	PROPN
iajs-577	96	6	26استلم	26استلم	NUM
iajs-577	96	7	البحث	البحث	VERB
iajs-577	96	8	في	في	ADP
iajs-577	96	9	الخالصة	الخالصة	PROPN
iajs-577	96	10	الخصائص	الخصائص	VERB
iajs-577	96	11	الفيزيائية	الفيزيائية	NOUN
iajs-577	97	1	فيحث	فيحث	X
iajs-577	97	2	نفذ	نفذ	VERB
iajs-577	97	3	برنامج	برنامج	NOUN
iajs-577	97	4	تحليل	تحليل	PROPN
iajs-577	98	1	عددي	عددي	PROPN
iajs-577	98	2	لمشاكل	لمشاكل	PROPN
iajs-577	98	3	الغاز	الغاز	PROPN
iajs-577	98	4	الداينميكي	الداينميكي	PROPN
iajs-577	98	5	لدراسة	لدراسة	PROPN
iajs-577	98	6	تأثيرات	تأثيرات	PROPN
iajs-577	98	7	مشاكل	مشاكل	PROPN
iajs-577	98	8	ريمان	ريمان	NOUN
iajs-577	98	9	في	في	ADP
iajs-577	98	10	هذا	هذا	ADJ
iajs-577	98	11	الب	الب	ADJ
iajs-577	98	12	لهذا	لهذا	PROPN
iajs-577	98	13	الغاز	الغاز	NOUN
iajs-577	98	14	.	.	PUNCT
iajs-577	99	1	معين	معين	PROPN
iajs-577	99	2	مثلمنتشرة	مثلمنتشرة	PROPN
iajs-577	99	3	بسرعة	بسرعة	VERB
iajs-577	99	4	عالية	عالية	PROPN
iajs-577	100	1	خالل	خالل	PROPN
iajs-577	100	2	وسط	وسط	PROPN
iajs-577	100	3	(	(	PUNCT
iajs-577	100	4	shock	shock	NOUN
iajs-577	100	5	wave	wave	NOUN
iajs-577	100	6	)	)	PUNCT
iajs-577	100	7	موجة	موجة	PROPN
iajs-577	100	8	اصطدام	اصطدام	PROPN
iajs-577	100	9	اعتيادية	اعتيادية	VERB
iajs-577	100	10	التي	التي	PROPN
iajs-577	100	11	تسمى	تسمى	PROPN
iajs-577	100	12	تلقد	تلقد	NOUN
iajs-577	100	13	درس	درس	INTJ
iajs-577	101	1	(	(	PUNCT
iajs-577	101	2	shock	shock	NOUN
iajs-577	101	3	tube	tube	NOUN
iajs-577	101	4	)	)	PUNCT
iajs-577	101	5	الكثافة	الكثافة	PROPN
iajs-577	101	6	،	،	PROPN
iajs-577	102	1	و	و	PROPN
iajs-577	102	2	الضغط	الضغط	PROPN
iajs-577	102	3	.	.	PUNCT
iajs-577	103	1	و	و	PRON
iajs-577	103	2	عند	عند	VERB
iajs-577	103	3	و	و	PRON
iajs-577	103	4	يحدث	يحدث	VERB
iajs-577	103	5	ارتفاع	ارتفاع	PROPN
iajs-577	103	6	سريع	سريع	PROPN
iajs-577	103	7	لقيم	لقيم	PROPN
iajs-577	103	8	السرعة	السرعة	PROPN
iajs-577	103	9	،	،	PROPN
iajs-577	103	10	اذ	اذ	PROPN
iajs-577	103	11	،	،	NOUN
iajs-577	103	12	.	.	PUNCT
iajs-577	104	1	ما	ما	PROPN
iajs-577	104	2	يسبب	يسبب	PROPN
iajs-577	104	3	تغيير	تغيير	NOUN
iajs-577	104	4	في	في	PRON
iajs-577	104	5	خصائص	خصائص	ADJ
iajs-577	104	6	ذلك	ذلك	PROPN
iajs-577	104	7	الوسط	الوسط	PROPN
iajs-577	105	1	مرور	مرور	DET
iajs-577	105	2	هذه	هذه	PROPN
iajs-577	105	3	لموجة	لموجة	PROPN
iajs-577	105	4	خالل	خالل	PROPN
iajs-577	105	5	الوسط	الوسط	VERB
iajs-577	105	6	فان	فان	NOUN
iajs-577	105	7	اجمالي	اجمالي	PROPN
iajs-577	105	8	الطاقة	الطاقة	PROPN
iajs-577	105	9	اليتبدد	اليتبدد	VERB
iajs-577	105	10	و	و	PRON
iajs-577	105	11	لكن	لكن	NOUN
iajs-577	105	12	كمية	كمية	ADJ
iajs-577	105	13	الطاقة	الطاقة	PROPN
iajs-577	105	14	التي	التي	PROPN
iajs-577	105	15	تتحول	تتحول	PROPN
iajs-577	105	16	الى	الى	PROPN
iajs-577	105	17	شغل	شغل	PROPN
iajs-577	105	18	هي	هي	PROPN
iajs-577	105	19	التي	التي	PROPN
iajs-577	105	20	سوف	سوف	PRON
iajs-577	105	21	تتبدد	تتبدد	X
iajs-577	106	1	و	و	PRON
iajs-577	106	2	.ايضا	.ايضا	NOUN
iajs-577	106	3	"	"	PUNCT
iajs-577	106	4	يحدث	يحدث	VERB
iajs-577	106	5	زيادة	زيادة	NOUN
iajs-577	106	6	في	في	SCONJ
iajs-577	106	7	عشوائية	عشوائية	PROPN
iajs-577	106	8	النظام	النظام	PROPN
iajs-577	106	9	في	في	ADP
iajs-577	106	10	تحطم	تحطم	PROPN
iajs-577	106	11	الحاجر	الحاجر	PROPN
iajs-577	106	12	الذي	الذي	PROPN
iajs-577	106	13	يفصل	يفصل	PROPN
iajs-577	106	14	بين	بين	AUX
iajs-577	106	15	جزئي	جزئي	NOUN
iajs-577	106	16	االنبوب	االنبوب	NOUN
iajs-577	106	17	مولدا	مولدا	VERB
iajs-577	106	18	موجات	موجات	NOUN
iajs-577	106	19	ان	ان	AUX
iajs-577	106	20	زيادة	زيادة	VERB
iajs-577	106	21	الضغط	الضغط	PROPN
iajs-577	106	22	داخل	داخل	PROPN
iajs-577	106	23	انبوب	انبوب	NOUN
iajs-577	106	24	االصطدام	االصطدام	VERB
iajs-577	106	25	الذي	الذي	PROPN
iajs-577	106	26	يتسببكما	يتسببكما	PROPN
iajs-577	107	1	expansion)اصطدام	expansion)اصطدام	X
iajs-577	107	2	اعتيادية	اعتيادية	VERB
iajs-577	107	3	منتشرة	منتشرة	NOUN
iajs-577	107	4	الى	الى	ADJ
iajs-577	107	5	مناطق	مناطق	NUM
iajs-577	107	6	الضغط	الضغط	PROPN
iajs-577	107	7	العالي	العالي	NOUN
iajs-577	107	8	و	و	PRON
iajs-577	107	9	موجات	موجات	NOUN
iajs-577	107	10	اخرى	اخرى	VERB
iajs-577	107	11	تنتقل	تنتقل	ADJ
iajs-577	107	12	الى	الى	PROPN
iajs-577	107	13	مناطق	مناطق	PROPN
iajs-577	107	14	الضغط	الضغط	PROPN
iajs-577	107	15	الواطئ	الواطئ	PROPN
iajs-577	107	16	وتسمى	وتسمى	PROPN
iajs-577	107	17	waves	wave	NOUN
iajs-577	107	18	)	)	PUNCT
iajs-577	107	19	.	.	PUNCT
iajs-577	108	1	مشاكل	مشاكل	PROPN
iajs-577	108	2	ريمان	ريمان	PROPN
iajs-577	108	3	،	،	PROPN
iajs-577	108	4	تحليالت	تحليالت	PROPN
iajs-577	108	5	عددية	عددية	PROPN
iajs-577	108	6	،	،	PROPN
iajs-577	108	7	جريان	جريان	PROPN
iajs-577	108	8	الغاز	الغاز	PROPN
iajs-577	108	9	الحقيقيمفتاحية	الحقيقيمفتاحية	PROPN
iajs-577	108	10	:	:	PUNCT
iajs-577	108	11	الكلمات	الكلمات	VERB
iajs-577	108	12	ال	ال	ADP
iajs-577	108	13	2	2	NUM
iajs-577	108	14	.	.	PUNCT
iajs-577	108	15	sod	sod	NOUN
iajs-577	108	16	,	,	PUNCT
iajs-577	108	17	g.	g.	PROPN
iajs-577	108	18	(	(	PUNCT
iajs-577	108	19	1991	1991	NUM
iajs-577	108	20	)	)	PUNCT
iajs-577	108	21	,	,	PUNCT
iajs-577	108	22	numerical	numerical	ADJ
iajs-577	108	23	relativistic	relativistic	ADJ
iajs-577	108	24	hydrodynamics	hydrodynamic	NOUN
iajs-577	108	25	:	:	PUNCT
iajs-577	108	26	local	local	ADJ
iajs-577	108	27	characteristic	characteristic	ADJ
iajs-577	108	28	approach	approach	NOUN
iajs-577	108	29	,	,	PUNCT
iajs-577	108	30	j.	j.	PROPN
iajs-577	108	31	comp	comp	PROPN
iajs-577	108	32	.	.	PUNCT
iajs-577	109	1	phys	phy	NOUN
iajs-577	109	2	.	.	PUNCT
iajs-577	109	3	,	,	PUNCT
iajs-577	109	4	27,)1	27,)1	NUM
iajs-577	109	5	(	(	PUNCT
iajs-577	109	6	.	.	PUNCT