مدل سازی عددی جریان اسلاگ در کانال های افقی و مایل با استفاده از مدل دوسیالی هیپربولیک

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ﻪﭽﺨ ﻪﻟﺎﻘﻣ :

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شﺮ 29 / 3 / 91

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91

ﻞﻳﺎﻣ ﺎﺑ

ﺖﺳا هﺪﺷ ﻪﺋارا .

ﻦﻳا يﺎﻨﺒﻣ ﻦﻳا شور ﻦﻳا ﺖﻳﺰﻣ

ﻲﻣ لﺪﻣ ناﺪﻴﻣ ﻞﻴﺴﻧاﺮﻔﻳد تﻻدﺎﻌﻣ ﺪﻨﻛ

. ﻪﺑ

يزﺎﺳ و ﻖﺑﺎﻄﺗ و

يدﺪﻋ ﻞﺣ يﺮﺳ ﻚﻳ و

رد لﺪﻣ ﺖﻴﻠﺑﺎﻗ و ﺖﻳﺎﻔﻛ و ﻻﺎﺑ ﺖﻗد ﺮﮕﻧﺎﻴﺑ گﻼﺳا

Numerical and

Abstract-This paper presents a new and accurate methodology for transient and dynamic behavior of slug hydrodynamic instability modeling in

solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The privilege of this method is that it can model and predict i

directly by solving the flow field differential equations. The well validation of the results is the Ransom Water Faucet case. The resul

duct were compared with two sets of experimental results. The good agreement of the present modeling results with the experimental results of own and other investigators and also grid independency study show

tracking and slug capturing and the numerical method which is used here can predict with high enough accuracy.

Keywords: Two

رﺎﺗ ﻳ ﻪﭽﺨ رد ﻳ ﺖﻓﺎ ﺬﭘ ﻳ شﺮ رد ﻪﺋارا

ﻲﻘﻓا يﺎﻫ و

ﻞﻳﺎﻣ

ﻞﻳﺎﻣ و ﺖﺳا هﺪﺷ ﻪﺋارا

ﻲﻣ ﻻﺎﺑ ﻪﺒﺗﺮﻣ كﺎﺷ ﺮﻴﺨﺴﺗ يدﺪﻋ ﺪﺷﺎﺑ

. ﻦﻳا شور ﻦﻳا ﺖﻳﺰﻣ

ﻲﻣ لﺪﻣ ناﺪﻴﻣ ﻞﻴﺴﻧاﺮﻔﻳد تﻻدﺎﻌﻣ يﻻﺎﺑ ﺖﻗد ﺮﮕﻧﺎﻴﺑ لﺪﻣ

يزﺎﺳ

ﻲﻫﺎﮕﺸﻳﺎﻣزآ ﻲﺑ يدﺪﻋ ﻞﺣ يﺮﺳ ﻚﻳ و

Numerical m

and inclined channels

This paper presents a new and accurate methodology for transient and dynamic behavior of slug hydrodynamic instability modeling in

solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The privilege of this method is that it can model and predict i

Two-Pressure Model,

ﻲﻘﻓا يﺎﻫ

ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ

هداز ﻲﻣراد ﻦﻴﺴﺤﻟاﺪﺒﻋ ،

2

ناﺮﻬﺗ

ناﺮﻬﺗ ،سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

mra_1330@modares.ac.ir

لﺎﻧﺎﻛ رد نآ ﺪﺷر ﻦﻴﻨﭽﻤﻫ و گﻼﺳا شزﺎﻏآ يزﺎﺳ يﺎﻫ

ﻲﻘﻓا ﻞﻳﺎﻣ و

ﻲﻣ ﻻﺎﺑ ﻪﺒﺗﺮﻣ كﺎﺷ ﺮﻴﺨﺴﺗ يدﺪﻋ

ﻞﺣ زا ﻲﺟوﺮﺧ ناﻮﻨﻋ ﻪﺑ و ﻚﻴﺗﺎﻣﻮﺗا ترﻮﺻ ﻪﺑ ار يا ﻲﻣ لﺪﻣ ناﺪﻴﻣ ﻞﻴﺴﻧاﺮﻔﻳد تﻻدﺎﻌﻣ

ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻳدﺮﮔ ﻞﺣ ﺖﺳوﺎﻓ ﺮﺗ يﻻﺎﺑ ﺖﻗد ﺮﮕﻧﺎﻴﺑ

ﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ يزﺎﺳ ﻲﻫﺎﮕﺸﻳﺎﻣزآ ﻲﺑ

modeling of nclined channels

M.

1- Assoc. Prof.

2- PhD student

* P. O.

This paper presents a new and accurate methodology for transient and dynamic behavior of slug hydrodynamic instability modeling in horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The privilege of this method is that it can model and predict i

Pressure Model, Two-Fluid Model, Hyperbolic Condition

34 - 47

لﺎﻧﺎﻛ رد گﻼﺳا ﻲﻘﻓا يﺎﻫ

ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ

هداز ﻲﻣراد ﻦﻴﺴﺤﻟاﺪﺒﻋ ،

سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد

، ناﺮﻬﺗ

ناﺮﻬﺗ ،سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ mra_1330@modares.ac.ir

لﺎﻧﺎﻛ رد نآ ﺪﺷر ﻦﻴﻨﭽﻤﻫ و گﻼﺳا شزﺎﻏآ يزﺎﺳ يﺎﻫ

ﻲﻣ ﻻﺎﺑ ﻪﺒﺗﺮﻣ كﺎﺷ ﺮﻴﺨﺴﺗ يدﺪﻋ

ﻞﺣ زا ﻲﺟوﺮﺧ ناﻮﻨﻋ ﻪﺑ و ﻚﻴﺗﺎﻣﻮﺗا ترﻮﺻ ﻪﺑ ار يا ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻳدﺮﮔ ﻞﺣ ﺖﺳوﺎﻓ ﺮﺗ

ﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ يزﺎﺳ زا ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ لﺪﻣ

يزﺎﺳ رد لﺪﻣ ﺖﻴﻠﺑﺎﻗ و ﺖﻳﺎﻔﻛ و ﻻﺎﺑ ﺖﻗد ﺮﮕﻧﺎﻴﺑ گﻼﺳا

AUSM

odeling of two

nclined channels using hyperbolic two fluid model

M. R. Ansari

Assoc. Prof., Mech. Eng.

student, Mech. Eng.

O. B. 14115-143

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The privilege of this method is that it can model and predict i

Fluid Model, Hyperbolic Condition

هرﺎﻤﺷ 4 نﺎﺑآ 1391 ص ص 34

لﺎﻧﺎﻛ رد گﻼﺳا ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ

يرﺎﺼﻧا ﺎﺿرﺪﻤﺤﻣ

1

هداز ﻲﻣراد ﻦﻴﺴﺤﻟاﺪﺒﻋ ،*

ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

، سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد

ناﺮﻬﺗ ،سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ 143 - 14115

، mra_1330@modares.ac.ir

لﺎﻧﺎﻛ رد نآ ﺪﺷر ﻦﻴﻨﭽﻤﻫ و گﻼﺳا شزﺎﻏآ يزﺎﺳ ﻜﻳ ﻪﻠﻴﺳو

ﻲ زا شور يﺎﻫ

ﻞﺣ زا ﻲﺟوﺮﺧ ناﻮﻨﻋ ﻪﺑ و ﻚﻴﺗﺎﻣﻮﺗا ترﻮﺻ ﻪﺑ ار يا ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻳدﺮﮔ ﻞﺣ ﺖﺳوﺎﻓ ﺮﺗ

ﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ يزﺎﺳ

ﺖﻓﺮﻳﺬﭘ ترﻮﺻ ﻢﻫ .

زا ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ .

،گﻼﺳا نﺎﻳﺮﺟ ،ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻂﻳاﺮﺷ AUSM

wo-phase

using hyperbolic two fluid model

Ansari^*1, A. Daramizadeh

Mech. Eng., Tarbiat Modares Univ.

143 Tehran, mra_1330@modares.ac.ir

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The privilege of this method is that it can model and predict initiation and growth of slug in stratified flow automatically and directly by solving the flow field differential equations. The well

validation of the results is the Ransom Water Faucet case. The resul

Fluid Model, Hyperbolic Condition

هرود 12 هرﺎﻤﺷ

نﺎﻳﺮﺟ لﺎﻧﺎﻛ رد گﻼﺳا

زا هدﺎﻔﺘﺳا ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ

رﺎﻴﺸﻧاد ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

ﺮﺘﻛد يﻮﺠﺸﻧاد ا

ي ناﺮﻬﺗ ،سرﺪﻣ ﺖﻴﺑﺮﺗ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

ﻲﺘﺴﭘ قوﺪﻨﺻ 143

لﺪﻣ ياﺮﺑ يژﻮﻟوﺪﺘﻣ ﻚﻳ لﺎﻧﺎﻛ رد نآ ﺪﺷر ﻦﻴﻨﭽﻤﻫ و گﻼﺳا شزﺎﻏآ يزﺎﺳ

ﺑ ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ تﻻدﺎﻌﻣ يدﺪﻋ ﻞﺣ ﻪ

ﻜﻳ ﻪﻠﻴﺳو

ﻪﻳﻻ ﻢﻳژر زا گﻼﺳا ﻢﻳژر ﻞﻴﻜﺸﺗ و ﺪﺷر ﻪﻛ ﺖﺳا ﻞﺣ زا ﻲﺟوﺮﺧ ناﻮﻨﻋ ﻪﺑ و ﻚﻴﺗﺎﻣﻮﺗا ترﻮﺻ ﻪﺑ ار يا

او يزﺎﻓود دراﺪﻧﺎﺘﺳا ﻪﻠﺌﺴﻣ يﺮﺗﻮﻴﭙﻣﺎﻛ ﺪﻛ ﻲﺠﻨﺳ ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻳدﺮﮔ ﻞﺣ ﺖﺳوﺎﻓ ﺮﺗ

لﺪﻣ ﻪﺑ طﻮﺑﺮﻣ ﺞﻳﺎﺘﻧ ﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ يزﺎﺳ

ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻜﺒﺷ ﺖﻓﺮﻳﺬﭘ ترﻮﺻ ﻢﻫ

رد گﻼﺳا لﺎﻧﺎﻛ

ﺖﺳا .

،گﻼﺳا نﺎﻳﺮﺟ ،ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻂﻳاﺮﺷ

hase slug

using hyperbolic two fluid model

Daramizadeh

Tarbiat Modares Univ., Tehran Tarbiat Modares Univ., Tehran mra_1330@modares.ac.ir

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The nitiation and growth of slug in stratified flow automatically and directly by solving the flow field differential equations. The well-defined test case considered for the verification and validation of the results is the Ransom Water Faucet case. The results obtained for slug flow modeling in horizontal duct were compared with two sets of experimental results. The good agreement of the present modeling results with the experimental results of own and other investigators and also grid independency study show

Fluid Model, Hyperbolic Condition, Slug Flow,

يدﺪﻋ نﺎﻳﺮﺟ

زا هدﺎﻔﺘﺳا

1 -

2 - ﺮﺘﻛد يﻮﺠﺸﻧاد

* ناﺮﻬﺗ

،

لﺪﻣ ياﺮﺑ يژﻮﻟوﺪﺘﻣ ﻚﻳ

ﺑ ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ تﻻدﺎﻌﻣ يدﺪﻋ ﻞﺣ

ﻪﻳﻻ ﻢﻳژر زا گﻼﺳا ﻢﻳژر ﻞﻴﻜﺸﺗ و ﺪﺷر ﻪﻛ ﺖﺳا او يزﺎﻓود دراﺪﻧﺎﺘﺳا ﻪﻠﺌﺴﻣ يﺮﺗﻮﻴﭙﻣﺎﻛ ﺪﻛ ﻲﺠﻨﺳ

ﻲﻠﻴﻠﺤﺗ ﻞﺣ ﺎﺑ ﺎﻫ ﺖﺳا

. لﺪﻣ ﻪﺑ طﻮﺑﺮﻣ ﺞﻳﺎﺘﻧ

ﻲﻳاﺮﮕﻤﻫ ﻪﻌﻟﺎﻄﻣ و ﺪﻳدﺮﮔ ﻪﺴﻳﺎﻘﻣ ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻜﺒﺷ

ﻲﻧﺎﻜﻣ ﺖﻴﻌﻗﻮﻣ رد گﻼﺳا

،ﻲﻟﺎﻴﺳود لﺪﻣ ،يرﺎﺸﻓود لﺪﻣ

،گﻼﺳا نﺎﻳﺮﺟ ،ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻂﻳاﺮﺷ

slug flow in

using hyperbolic two fluid model

Daramizadeh²

Tehran, Iran Tehran, Iran mra_1330@modares.ac.ir

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The nitiation and growth of slug in stratified flow automatically and defined test case considered for the verification and ts obtained for slug flow modeling in horizontal duct were compared with two sets of experimental results. The good agreement of the present modeling results with the experimental results of own and other investigators and also grid independency study show the model is capable of slug tracking and slug capturing and the numerical method which is used here can predict with high enough accuracy.

Flow, AUSM

لﺪﻣ يزﺎﺳ

يدﺪﻋ

ﺎﻘﻣ ﻦﻳا رد ﻪﻟ

، لﺪﻣ ياﺮﺑ يژﻮﻟوﺪﺘﻣ ﻚﻳ

ﺑ ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ تﻻدﺎﻌﻣ يدﺪﻋ ﻞﺣ

ﻪﻳﻻ ﻢﻳژر زا گﻼﺳا ﻢﻳژر ﻞﻴﻜﺸﺗ و ﺪﺷر ﻪﻛ ﺖﺳا او يزﺎﻓود دراﺪﻧﺎﺘﺳا ﻪﻠﺌﺴﻣ يﺮﺗﻮﻴﭙﻣﺎﻛ ﺪﻛ ﻲﺠﻨﺳ

باﻮﺟ بﻮﺧ ﻲﻳاﺮﮕﻤﻫ ﻲﻠﻴﻠﺤﺗ ﻞﺣ ﺎﺑ ﺎﻫ

ﻲﻳاﺮﮕﻤﻫ ﻪﻌﻟﺎﻄﻣ و ﺪﻳدﺮﮔ ﻪﺴﻳﺎﻘﻣ يﺮﻴﮔدر و ﺮﻴﺨﺴﺗ

ﻲﻧﺎﻜﻣ ﺖﻴﻌﻗﻮﻣ

in horizontal using hyperbolic two fluid model

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The nitiation and growth of slug in stratified flow automatically and defined test case considered for the verification and ts obtained for slug flow modeling in horizontal duct were compared with two sets of experimental results. The good agreement of the present modeling results with the the model is capable of slug tracking and slug capturing and the numerical method which is used here can predict with high enough accuracy.

لﺪﻣ

هﺪﻴﻜﭼ - ﺎﻘﻣ ﻦﻳا رد

لﺪﻣ يزﺎﺳ ﺑ ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ تﻻدﺎﻌﻣ يدﺪﻋ ﻞﺣ

ﻪﻳﻻ ﻢﻳژر زا گﻼﺳا ﻢﻳژر ﻞﻴﻜﺸﺗ و ﺪﺷر ﻪﻛ ﺖﺳا ﺖﺤﺻ رﻮﻈﻨﻣ او يزﺎﻓود دراﺪﻧﺎﺘﺳا ﻪﻠﺌﺴﻣ يﺮﺗﻮﻴﭙﻣﺎﻛ ﺪﻛ ﻲﺠﻨﺳ

باﻮﺟ بﻮﺧ ﻲﻳاﺮﮕﻤﻫ ﻲﻳاﺮﮕﻤﻫ ﻪﻌﻟﺎﻄﻣ و ﺪﻳدﺮﮔ ﻪﺴﻳﺎﻘﻣ ﺶﻴﭘ ﻲﻨﻴﺑ يﺮﻴﮔدر و ﺮﻴﺨﺴﺗ

ﺪﻴﻠﻛ نﺎﮔژاو :

orizontal using hyperbolic two fluid model

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The nitiation and growth of slug in stratified flow automatically and defined test case considered for the verification and ts obtained for slug flow modeling in horizontal duct were compared with two sets of experimental results. The good agreement of the present modeling results with the the model is capable of slug tracking and slug capturing and the numerical method which is used here can predict with high enough accuracy.

هﺪﻴﻜﭼ لﺪﻣ ﻪﻳﻻ ﻢﻳژر زا گﻼﺳا ﻢﻳژر ﻞﻴﻜﺸﺗ و ﺪﺷر ﻪﻛ ﺖﺳا ﺖﺤﺻ رﻮﻈﻨﻣ باﻮﺟ بﻮﺧ ﻲﻳاﺮﮕﻤﻫ ﻲﻳاﺮﮕﻤﻫ ﻪﻌﻟﺎﻄﻣ و ﺪﻳدﺮﮔ ﻪﺴﻳﺎﻘﻣ ﺶﻴﭘ ﺪﻴﻠﻛ

This paper presents a new and accurate methodology for transient and dynamic behavior of slug horizontal and inclined channels. The base of this methodology is on numerical solution of hyperbolic two fluid model equations by means of a class of high resolution shock capturing methods. The nitiation and growth of slug in stratified flow automatically and defined test case considered for the verification and ts obtained for slug flow modeling in horizontal duct were compared with two sets of experimental results. The good agreement of the present modeling results with the the model is capable of slug

[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]

(2)

1 ﻪﻣﺪﻘﻣ -

گﻼﺳا نﺎﻳﺮﺟ ﻲﺳﺪﻨﻬﻣ يﺎﻫدﺮﺑرﺎﻛ زا يرﺎﻴﺴﺑ رد1

، ﻞﻣﺎﺷ ﻪﻛ

ود ﺪﻧزﺎﻓ

، ﺮﻴﻈﻧ ﺖﻔﻧ لﺎﻘﺘﻧا ﻪﻟﻮﻟ طﻮﻄﺧ و

،زﺎﮔ ﻊﻳﺎﻨﺻ و يﺪﻨﻳاﺮﻓ

ﻦﺑﺮﻛورﺪﻴﻫ هﺎﮔوﺮﻴﻧ رد رﺎﺨﺑ نﺎﻳﺮﺟ ،ﺎﻫ

ﻪﺘﺴﻫ و ﻲﺗراﺮﺣ يﺎﻫ و يا

ﻲﻣ قﺎﻔﺗا بآ لﺎﻘﺘﻧا ﻪﻟﻮﻟ طﻮﻄﺧ ﺪﺘﻓا

. ﻢﻳژر يارﺬﮔ ﺖﻌﻴﺒﻃ

گﻼﺳا ) ﻪﻛ رد ﺮﺛا ﻪﻳﻻ ﻢﻳژر زا راﺬﮔ ا

ﻲﻣ قﺎﻔﺗا ﻲﺟﻮﻣ ﻪﺑ ي ﺪﺘﻓا

(

ﺷﺮﻴﻴﻐﺗ كﺮﺘﺸﻣ ﻞﺼﻓ دﻮﺟو ﻦﻴﻨﭽﻤﻫ و ﻞﻜ

زﺎﻓ ود ﻦﻴﺑ ﺮﻳﺬﭘ

لﺪﻣ يزﺎﺳ نﺎﻳﺮﺟ عﻮﻧ ﻦﻳا ار

هﺪﻴﭽﻴﭘ ﺖﺳا هدﺮﻛ .

زا ﻪﻛ ﻲﺘﻔﻧ

ﺑ ﻞﺣﺎﺳ زا رود يﺎﻫﻮﻜﺳ ﻪ

ﻲﻣ ﺖﺳد ﺪﻳآ

هﺪﻴﭽﻴﭘ ﺐﻴﻛﺮﺗ

،زﺎﮔ زا يا

ﺖﻔﻧ و بآ ﺖﺳا . ﻚﻳ ﻢﻳژر لﻮﻤﻌﻣ رد ﻦﻳا عﻮﻧ طﻮﻄﺧ لﺎﻘﺘﻧا ﻳژر ﻢ

ﻲﻣ گﻼﺳا ﻢﻳژر ﻦﻳا رد ﻪﻛ ﺪﺷﺎﺑ

ﺑ لﺎﻴﺳ ﻪ رد بوﺎﻨﺘﻣ ترﻮﺻ

،ﻪﻟﻮﻟ لﻮﻃ هدﻮﺗ ترﻮﺻ ﻪﺑ

هﺪﻴﻣﺎﻧ گﻼﺳا ﻪﻛ ﺰﻛﺮﻤﺘﻣ يﺎﻫ

ﻲﻣ

،دﻮﺷ دراد نﺎﻳﺮﺟ .

هدوﺪﺤﻣ مﺎﻤﺗ رد هﺪﻴﭽﻴﭘ نﺎﻳﺮﺟ ﻦﻳا يﺎﻫ

رد و ﻪﻟﻮﻟ ﺐﻴﺷ زﺎﮔ نﺎﻳﺮﺟ خﺮﻧ زا ﻲﻌﻴﺳو هدوﺪﺤﻣ

- دﻮﺟو ﻊﻳﺎﻣ

دراد . ﺑ نﺎﻳﺮﺟ ﻢﻳژر ﻦﻳا ﻪ

ﻲﺗاذ ترﻮﺻ ﺳا راﺪﻳﺎﭘﺎﻧ

ﺖ . ﺮﮔا ﻲﺘﺣ

ﻊﻳﺎﻣ و زﺎﮔ نﺎﻳﺮﺟ خﺮﻧ

ﻪﺘﺷاد ﻪﮕﻧ ﺖﺑﺎﺛ راﺪﻳﺎﭘ راﺪﻘﻣ ﻚﻳ رد

،دﻮﺷ رﺎﺸﻓ و ﺎﻫزﺎﻓ ﺖﻋﺮﺳ ،ﻲﻣﺮﺟ ﻲﺑد

، ﻊﻄﻘﻣ ﺢﻄﺳ ﺮﻫ رد

،ﻪﻟﻮﻟ رﻮﺤﻣ ﺮﺑ دﻮﻤﻋ نﺎﻣز ﻪﺑ ﺖﺒﺴﻧ

، ﺮﻴﻴﻐﺗ يدﺎﻳز راﺪﻘﻣ ﻪﺑ

دﺮﻛ ﺪﻨﻫاﻮﺧ .

،ﻪﺠﻴﺘﻧ رد ﺮﻓ

ا تراﺮﺣ و مﺮﺟ لﺎﻘﺘﻧا ﺮﻴﻈﻧ ﻲﻳﺎﻫﺪﻨﻳ

ﻲﻣ رد راﺪﻳﺎﭘﺎﻧ ترﻮﺻ ﻪﺑ ﻴﻓوﺮﭘ رد ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ تاﺮﻴﻴﻐﺗ و ﺪﻨﻳآ

ﻞ

ﻢﺘﺴﻴﺳ ﺖﻈﻠﻏ و ﺎﻣد يﺎﻫ ﻲﻣ قﺎﻔﺗا

ﺪﺘﻓا . ﻲﮔدرﻮﺧ ﺚﻋﺎﺑ ﺮﻣا ﻦﻳا

ﻪﻟﻮﻟ ﻲﮔدﻮﺳﺮﻓ و ﻲﺗﺎﺷﺎﻌﺗرا ﺲﻧﺎﻧزر زا ﻲﺷﺎﻧ تارﺎﺴﺧ و ﺎﻫ

ﻲﻣ دﻮﺷ . ﻢﺘﺴﻴﺳ ﻪﻟﻮﻟ ﻂﺧ يﺎﻫ ﺮﺑاﺮﺑ رد ﺖﻣوﺎﻘﻣ ﻲﻳﺎﻧاﻮﺗ ﺪﻳﺎﺑ

ﺪﻨﺷﺎﺑ ﻪﺘﺷاد ار گﻼﺳا ﻲﻧﺎﺳﻮﻧ ﺖﻌﻴﺒﻃ .

،ﻪﻧﺎﻔﺳﺄﺘﻣ ﻪﻜﻨﻳا دﻮﺟو ﺎﺑ

زا ﻪﻫد ﺞﻨﭘ هﺪﻴﭽﻴﭘ نﺎﻳﺮﺟ ﻦﻳا يور ﺰﻛﺮﻤﺘﻣ تﺎﻌﻟﺎﻄﻣ

ﻲﻣ

،درﺬﮔ

ﻢﻬﻓ ﻲﻠﻣﺎﻛ زا مﺰﻴﻧﺎﻜﻣ ﻢﻳژر ﻦﻳا نﺎﻳﺮﺟ

ﻞﺣ و دراﺪﻧ دﻮﺟو يﺎﻫ

ﺰﻴﻧ ﻪﺘﻓﺮﻳﺬﭘ ترﻮﺻ يدﺪﻋ ﺲﻳﺮﺗﺎﻣ ﻞﺣ ﻪﻳﺎﭘ ﺮﺑ ﺎﻳ

ﻲﺗﺎﺒﺳﺎﺤﻣ يﺎﻫ

نﺎﻣز و ﺮﺑ ﻳﺎ رﺎﺘﻓرﺪﺑ هدﺎﺳ تﺎﻴﺿﺮﻓ ﻪﻳﺎﭘ ﺮﺑ ﺎﻳ و هدﻮﺑ2

و دﺎﻳز هﺪﻨﻨﻛ

ﺖﺳا راﻮﺘﺳا يرﺎﻣآ و ﻲﺑﺮﺠﺗ ﻂﺑاور .

ﻖﺒﻃ ﻲﺳرﺮﺑ يﺎﻫ ترﻮﺻ ﻪﺘﻓﺮﮔ

، ﻪﺳ شور ياﺮﺑ لﺪـﻣ يزﺎـﺳ

گﻼﺳا رد تﻻﺎﻘﻣ دﺎﻬﻨﺸﻴﭘ هﺪﺷ ﺖﺳا :

- لﺪﻣ راﺪﻳﺎﭘ ﺖﻟﺎﺣ يﺎﻫ 3

- گﻼﺳا يﺮﻴﮔدر لﺪﻣ 4

- ﻲﻟﺎﻴﺳود لﺪﻣ زا هدﺎﻔﺘﺳا ﺎﺑ گﻼﺳا ﺮﻴﺨﺴﺗ لﺪﻣ 5

1. Slug 2. Ill posed

3. Steady state models 4. Slug-tracking models

لﺪﻣ ﺖﻟﺎﺣ راﺪﻳﺎﭘ هدﺎﺳ ﻦﻳﺮﺗ و رد ﻦﻴﻋ لﺎﺣ ﻲﻣﻮﻤﻋ ﻦﻳﺮﺗ

شور ياﺮﺑ لﺪﻣ يزﺎﺳ گﻼﺳا ﻲﻣ ﺪﺷﺎﺑ . رد ﻦﻳا لﺪﻣ

، ﺖﻴﺻﺎﺧ

ﻲﺘﺑﻮﻧ

6

نﺎﻳﺮﺟ

گﻼﺳا ﻪﺑ ﺖﻴﺻﺎﺧ ﻲﺑوﺎﻨﺗ ﻞﻴﻠﻘﺗ 7

ﻲﻣ ﺪﺑﺎﻳ . نﺎﻳﺮﺟ

ﻪﺑ ترﻮﺻ ﻼﻣﺎﻛ ﻪﻌﺳﻮﺗ ﻪﺘﻓﺎﻳ ﺮﻈﻧرد ﻪﺘﻓﺮﮔ ﻲﻣ دﻮﺷ . ﻦﻳاﺮﺑﺎﻨﺑ

رﺎﺘﺧﺎﺳ هﺪﻴﭽﻴﭘ نﺎﻳﺮﺟ گﻼﺳا ﻪﺑ ﻚﻳ

"

ﺪﺣاو ﻲﻟﻮﻠﺳ لدﺎﻌﻣ

"

8

ﻞﻳﺪﺒﺗ ﻲﻣ دﻮﺷ ﻪﻛ ﻞﻣﺎﺷ ﻚﻳ گﻼﺳا ﻊﻳﺎﻣ و ﻚﻳ بﺎﺒﺣ رﻮﻠﻴﺗ

ﻲﻣ ﺪﺷﺎﺑ ] 1 [.

نﺎﻳﺮﺟ و ﺖﺧاﻮﻨﻜﻳ رﺎﺘﻓر ضﺮﻓ ﻪﻳﺎﭘ ﺮﺑ شور ﻦﻳا

ﻪﻌﺳﻮﺗ ﻼﻣﺎﻛ ﺖﺳا ﻪﺘﻓﺎﻳ

. ﺎﺘﺒﺴﻧ تﺎﻋﻼﻃا لﻮﻠﺳ ﺪﺣاو شور

ﻲﻣ رﺎﺸﻓ ﺖﻓا و ﻲﻤﺠﺣ ﺮﺴﻛ ﻦﻴﮕﻧﺎﻴﻣ ﻪﺑ ﻊﺟار ﻲﺑﻮﺧ ﺪﻫد

ﻲﻟو ،

ﺶﻴﭘ ﻲﻳﺎﻧاﻮﺗ ﺪﻧور ﺪﻨﻧﺎﻣ گﻼﺳا ﺎﻳ جﻮﻣ ﻲﻜﻴﻣﺎﻨﻳد رﺎﺘﻓر ﻲﻨﻴﺑ

ﻞﻜﺷ و جﻮﻣ ﺪﺷر دراﺪﻧ ار گﻼﺳا يﺮﻴﮔ

. شور لﺪﻣ ﺮﮕﻳد يزﺎﺳ

و ﻲﺑﺮﺠﺗ ﻂﺑاور ﻪﻳﺎﭘ ﺮﺑ گﻼﺳا يﺮﻴﮔدر سﺎﺳا ﺮﺑ گﻼﺳا ﺖﺳا راﻮﺘﺳا ناواﺮﻓ تﺎﻴﺿﺮﻓ .

نآ زا ﻪﻛ ﻲﻣ ﻪﻠﻤﺟ رﺎﻛ ﻪﺑ ناﻮﺗ

يﺎﻫ

نارﺎﻜﻤﻫ و ﻞﺘﻳﺎﺗ ]

2 [،

نارﺎﻜﻤﻫ و لاﺪﻳﺎﻧ ]

3 [،

سﻻوژ ] 4 [،

و ﻮﻫ

نارﺎﻜﻤﻫ ] 5 [ لاﺪﻳﺎﻧ و ﻚﻴﺒﻴﻟ و ]

6 [ ا هرﺎﺷ دﻮﻤﻧ . شور ﻦﻳا رد

،

ضﺮﻓ ﺖﺳا زﺮﻣ ياراد ﻪﻛ كﺮﺤﺘﻣ ﻲﺷ ﻚﻳ ناﻮﻨﻋ ﻪﺑ گﻼﺳا ﻲﻣ دﻮﺷ . لﻮﻠﺳ ﺪﺣاو شور ﻪﺑ ﺖﺒﺴﻧ شور ﻦﻳا ﺪﻳاﻮﻓ ﻪﻠﻤﺟ زا

گﻼﺳا لﻮﻃ ﻊﻳزﻮﺗ ﻲﺑﺎﻴﺘﺳد ﻪﺑ ناﻮﺗ ﻲﻣ

، ﻂﺑاور زا هدﺎﻔﺘﺳا نوﺪﺑ

هداد سﺎﺳا ﺮﺑ دﻮﻤﻧ هرﺎﺷا ،ﻲﻫﺎﮕﺸﻳﺎﻣزآ يرﺎﻣآ يﺎﻫ

.

ﻚﻴﻨﻜﺗ زا ﺮﮕﻳد ﻲﻜﻳ ﺮﻴﺨﺴﺗ يﺎﻫ

يدﺪﻋ ﻞﺣ شور ،گﻼﺳا

لﺪﻣ ﻪﻳﺎﭘ ﺮﺑ ﺖﺳا ﻲﻟﺎﻴﺳود يﺎﻫ

. ﻦﻳا ﺎﺑ ﻪﻛ ﻲﻳﺎﻫﺪﻛ ﻪﻠﻤﺟ زا

ﻪﺘﻓﺎﻳ ﻪﻌﺳﻮﺗ هﻮﻴﺷ ﺪﻧا

، ﻲﻣ فوﺮﻌﻣ ﺪﻛ ﻪﺑ ناﻮﺗ ﺎﮕﻟا

] 7

، 8 [ هرﺎﺷا

دﺮﻛ . لﺪﻣ ياﺮﺑ ﻪﺘﻓﺮﮔ ترﻮﺻ يﺎﻫرﺎﻛ زا ﺎﺑ گﻼﺳا نﺎﻳﺮﺟ يزﺎﺳ

ﻲﻣ ﻲﻟﺎﻴﺳود لﺪﻣ ﻒﻤﻛ و ﻲﺴﻴﻋ ﻪﺑ ناﻮﺗ

] 9 [،

يﺰﻴﻧﻮﺑ و

ﻲﺴﻴﻋ ] 10 [،

نارﺎﻜﻤﻫ و يﺰﻴﻧﻮﺑ ]

11 [،

يرﺎﺼﻧا ] 12 [،

و يردﺎﻛ

نارﺎﻜﻤﻫ ] 13 [ و لﺪﻣ يزﺎﺳ جﻮﻣ ﺎﺑ لﺎﻧﺎﻛ نﺎﻳﺮﺟ گرﺰﺑ يﺎﻫ

سﺎﻤﻠﻫ ﻂﺳﻮﺗ ]

14 [ نارﺎﻜﻤﻫ و ﻲﺤﻠﺻ و ]

15 [ هرﺎﺷا دﺮﻛ . ﻦﻳا

شور ﻪﻳﺎﭘ ﺮﺑ ﺐﻠﻏا ﺎﻫرﺎﻛ دوﺪﺤﻣ ﻢﺠﺣ ﺪﻨﻧﺎﻣ ﻲﻤﻳﺪﻗ يدﺪﻋ يﺎﻫ

ﺲﻳﺮﺗﺎﻣ ﻞﺣ و نﺎﻣز يﺎﻫ

هدﻮﺑ ﻲﻨﻤﺿ شور ﻪﺑ ﺮﺑ ﺪﻧا

. لﺪﻣ

د ﻲﻟﺎﻴﺳو ﺑ ﻪ ﻚﺗ ﺰﻴﻧ هﺪﺷ ﻪﺘﻓﺮﮔ رﺎﻛ ضﺮﻓ ﻪﻳﺎﭘ ﺮﺑ و يرﺎﺸﻓ

هدﻮﺑ ﻚﻴﺗﺎﺘﺳاورﺪﻴﻫ يﺎﻫرﺎﺸﻓ ﻪﻛ

ﻲﺷﺎﻧ تﻼﻜﺸﻣ زوﺮﺑ ﻪﺑ ﺮﺠﻨﻣ

زا ﺖﻟﺎﺣ ﻲﻣ رﺎﺘﻓرﺪﺑ ﺪﺷ

. نﺎﻣز شور ﻦﻳا ﺎﺑ ﻞﺣ دﺎﻳز رﺎﻴﺴﺑ ﺰﻴﻧ ﺎﻫ

ﻦﻳا زا ﻲﻠﻤﻋ هدﺎﻔﺘﺳا ﻪﻛ ﺖﺳا هﺪﺷ ﺚﻋﺎﺑ شور

ﺎﻫ ﻏ ﻦﻜﻤﻣﺮﻴ

ﺎﻘﻘﺤﻣ و هﺪﺷ زا ار مزﻻ لﺎﺒﻘﺘﺳا ن

نآ ﺎﻫ ﻪﺑ ﺪﻧروﺎﻴﻧ ﻞﻤﻋ .

5. Slug-capturing using two-fluid models 6. Intermittency

7. Periodically 8. Equivalent cell unit

(3)

ﻂﺳﻮﺗ ﺖﺴﺨﻧ ﻲﻟﺎﻴﺳود لﺪﻣ ﻲﺸﻳا

] 16 [ ﺪﺷ ﻲﻓﺮﻌﻣ .

ﻦﻳا رد

لﺪﻣ رد نﺎﺴﻜﻳ ترﻮﺻ ﻪﺑ زﺎﻓ ود يﺎﻫرﺎﺸﻓ ﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ

.

ﻪﺸﻳر و ﺖﺳا ﻂﻠﺘﺨﻣ لﺪﻣ ﻦﻳا ﻪﺼﺨﺸﻣ ﻪﻟدﺎﻌﻣ يﺎﻫ اﺮﺑﺎﻨﺑ

ﻦﻳ

ﺳ ﻢﺘﺴﻴ ﻫ نآ تﻻدﺎﻌﻣ ﻚﻴﻟﻮﺑﺮﭙﻴ

ﻤﻧ ﻲ ﺖﺳا رﺎﺘﻓرﺪﺑ و ﺪﺷﺎﺑ .

رد

اﺮﺷ سﺎﺳا ﺮﺑ رﺎﺘﻓرﺪﺑ ﺖﻟﺎﺣ ﻂﻳ

ﻟوا ﻪﻴ ﻞﺣ ﻪﺑ طﻮﺑﺮﻣ تﺎﻋﻼﻃا و

دﺪﻋ ي رد ﻚﻳ ﻧﺎﻣز مﺎﮔ

،ﻲ ﭘ نﺎﻜﻣا ﺶﻴ ﺑ ﻲﻨﻴ مﺎﮔ رد باﻮﺟ ﺎﻫ

ي

ﺪﻌﺑ ي ﻣ ﺮﺴﻴ ﻤﻧ ﻲ ﻣ ﺮﻫﺎﻇ ﻞﺣ رد تﺎﻧﺎﺳﻮﻧ ﺎﺒﻟﺎﻏ و ﺪﺷﺎﺑ ﻲ

ﺪﻧﻮﺷ .

ا ﻦﻳ ﺗرﻮﺻ ﻪﺑ ﺐﻠﻏا تﺎﻧﺎﺳﻮﻧ ﻲ

اﺰﻓا ﺎﺑ ﻪﻛ ﺪﻨﺘﺴﻫ ﺶﻳ

ﻪﻜﺒﺷ داﺪﻌﺗ

ﻏ ترﻮﺻ ﻪﺑ ﺮﻴ

ﻣ رد دوﺪﺤﻣﺎﻧ و لﺮﺘﻨﻛ ﻞﺑﺎﻗ ﻲ

آ ﺪﻨﻳ .

شﻼﺗ نﻮﻨﻛ ﺎﺗ يﺎﻫ

ﻧاواﺮﻓ ﻲ اﺮﺑ ي ﻊﻓر ﺎﻳ ﻞﻜﺸﻣ ﺶﻫﺎﻛ

رﺎﺘﻓرﺪﺑ ي ﺳود ﻲﻟﺎﻴ ﺬﭘ ترﻮﺻ ﻪﺘﻓﺮﻳ

ﻪﺑ ﻪﻠﻤﺟ نآ زا ﻪﻛ ﺖﺳا

مﺮﺗ ندﻮﻤﻧ ﻪﻓﺎﺿا يﺎﻫ

زﺎﺠﻣ مﺮﺟ

،ي ﺷﺮﺑ ﺶﻨﺗ ﻲ

،يزﺎﺠﻣ ﺶﻨﺗ

ﺷﺮﺑ ﻲ د ﺎﺑ هراﻮﻳ ،ﺎﻫ ﻦﻴﻤﺨﺗ ﺤﺼﺗ ﻪﻠﻤﺟ ﺢﻴ

ندﻮﻤﻧ ﻪﻓﺎﺿا و رﺎﺸﻓ

ﺤﻄﺳ ﺶﻨﺗ ﻲ

ﻣ لﺪﻣ ﻪﺑ ﻲ

دﺮﻛ هرﺎﺷا ناﻮﺗ .

ﻪﻟﺎﻘﻣ ﻦﻳا رد

، ياﺮﺑ

ﻦﻴﺘﺴﺨﻧ ﻪﺒﺗﺮﻣ

، ود ﻚﻴﻟﻮﺑﺮﭙﻴﻫ ﻲﻟﺎﻴﺳود لﺪﻣ زا ياﺮﺑ يرﺎﺸﻓ

لﺪﻣ يزﺎﺳ هدﺎﻔﺘﺳا لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ ﺪﺷ

. لﺪﻣ يﺎﻫ

رﺎﺸﻓود ي ﻫ ﻚﻴﻟﻮﺑﺮﭙﻴ اراد و هدﻮﺑ

ي ر ﻪﺸﻳ ﺎﻫ ي ﻪﺼﺨﺸﻣ ﻪﻟدﺎﻌﻣ

ﻘﺣ ﻲﻘﻴ ا ﺪﻧ . ﺘﺴﺨﻧ ﻦﻴ رﺎﺸﻓود لﺪﻣ ي

ﺑ ﻲ ﻗ ﺪﻴ و ﻫ طﺮﺷ ﻚﻴﻟﻮﺑﺮﭙﻴ

لاﺮﮕﺑآ و لروﺎﺳ ﻂﺳﻮﺗ ]

17 [ ﺪﺷ ﻪﺋارا . ا ﻦﻳ ﻪﻌﺳﻮﺗ ﻊﻗاو رد لﺪﻣ

ﻪﺘﻓﺎﻳ حﻼﺻا و و ﺮﺋﺎﺑ لﺪﻣ هﺪﺷ ﻮﺗﺎﻳﺰﻧﻮﻧ

] 18 [ ﺖﺳا . و لروﺎﺳ لﺪﻣ

لاﺮﮕﺑآ ﻚﻳ ﻪﻟدﺎﻌﻣ ﺖﻔﻫ لﺪﻣ ا

ي ﺖﺳا . ﻲﻜﻳ ﺎﺑ رﺎﻛ تﻼﻜﺸﻣ زا

ا ﻦﻳ مﺮﺗ دﻮﺟو لﺪﻣ ﺎﻫ

ي ﺎﭘﺎﻧ رﺎﺘﺴﻳ ژﺮﻧا و ﻢﺘﻨﻤﻣ تﻻدﺎﻌﻣ رد ي

ﺖﺳا . ا ﻦﻳ مﺮﺗ دﺪﻋ رﺎﺷ ﻪﻧ ﺎﻫ ي

ﻪﺑ ﻣ بﺎﺴﺣ ﻲ آ ﺪﻨﻳ مﺮﺗ ﻪﻧ و ﺎﻫ ي

ﺪﻨﺘﺴﻫ ﻪﻤﺸﭼ .

ا رد ﻦﻳ ﻪﻟﺎﻘﻣ

، زا ﻚﻳ ﻨﻜﺗ ﻚﻴ ﺪﺟ ﺪﻳ ﻂﺳﻮﺗ هﺪﺷدﺎﻬﻨﺸﻴﭘ

سﺮﭘ ] 19 [ ﻪﺘﺴﺴﮔ ياﺮﺑ مﺮﺗ يزﺎﺳ

ﻪﻛ ﺪﺷ هدﺎﻔﺘﺳا رﺎﺘﺴﻳﺎﭘﺎﻧ يﺎﻫ

ﺐﻳﺮﻘﺗ و يدﺪﻋ تﺎﻧﺎﺳﻮﻧ ﺶﻫﺎﻛ صﻮﺼﺧ رد ﻲﺘﺒﺜﻣ ﺞﻳﺎﺘﻧ مﺮﺗ ﻦﻳا ﺢﻴﺤﺻ دراد ﺎﻫ

. ﺮﺿﺎﺣ لﺎﺣ رد شور دﺮﺑرﺎﻛ

ﺎﻫ ي دﺪﻋ ي

ﻻﺎﺑ ﺖﻗد ي ﺨﺴﺗ ﺮﻴ لﺪﻣ رد كﺎﺷ يزﺎﺳ

د ﻞﺋﺎﺴﻣ ﻚﻴﻣﺎﻨﻳ زﺎﮔ

ﻚﺗ زﺎﻓ ﺖﺳا هﺪﺷ لﻮﻤﻌﻣ .

ﻟ ﻦﻜﻴ لﺪﻣ ﺚﺤﺑ رد نﻮﻨﻛ ﺎﺗ يزﺎﺳ

ﺮﺟ نﺎﻳ يﺎﻫ ﻻ ﻪﻳ ا ي ﺎﺑ گﻼﺳا و ا

ﻦﻳ شور ﻪﻌﻟﺎﻄﻣ ﺎﻫ يا

شراﺰﮔ

ﺖﺳا هﺪﺸﻧ .

ا رد ﻦﻳ ﻘﺤﺗ ﻖﻴ

، دﺪﻋ شور زا

1 ي

AUSMDV

ﻪﻛ

ﺷور ﻲ ﺮﺳ ،نﺎﺳآ ﻊﻳ

ﻪﺑ ﻻﺎﺑ ﺖﻗد ﺎﺑ و ﻣ بﺎﺴﺣ

ﻲ آ ﺪﻳ لﺪﻣ و

ﺳود ﻲﻟﺎﻴ رﺎﺸﻓود ي ﺖﻔﻫ ﻪﻟدﺎﻌﻣ ا ي هدﺎﻔﺘﺳا ﺪﺷ . اﺰﻣ زا يﺎﻳ شور

AUSMDV

] 20 - 25 [ ﻣ ﻲ ﻪﺑ ناﻮﺗ دﺮﻛ هرﺎﺷا ﺮﻳز دراﻮﻣ :

1. Advection Upstream Splitting Method

- مﺪﻋ ﻧ زﺎﻴ ﻠﺤﺗ ﻪﺑ ﻞﻴ ﻪﺼﺨﺸﻣ ا ي ﺎﻳ ﻪﺘﺴﺴﮔ زﺎﺳ ي ﺣﺎﻧ ﻪﻴ ﻪﺑ

ﺣﺎﻧ ﻪﻴ

- ﻲﻳﺎﻧاﻮﺗ ﺨﺴﺗ بﻮﺧ ﺮﻴ

ﻲﮕﺘﺳﻮﻴﭘﺎﻧ ﺎﻫ

ي ﻣ ناﺪﻴ ﺮﺟ نﺎﻳ

- شور ﻪﺑ ﺖﺒﺴﻧ ﻪﺒﺳﺎﺤﻣ ﺮﺘﻤﻛ نﺎﻣز فﻮﻧودﻮﮔ يﺎﻫ

- نآ دﺮﺑرﺎﻛ ﻲﮔدﺎﺳ ﻲﻣ ار ﻪﻟﺎﻘﻣ ﻦﻳا فاﺪﻫا ﻞﻳذ درﻮﻣ ود رد ﻪﺻﻼﺧ رﻮﻃ ﻪﺑ ناﻮﺗ

دﻮﻤﻧ ﻪﺻﻼﺧ :

- نﺎﺸﻧ و تﺎﺒﺛا ﻚﻴﻟﻮﺑﺮﭙﻴﻫ لﺪﻣ ﺖﻴﻠﺑﺎﻗ و ﻲﻳﺎﻧاﻮﺗ نداد

ﺖﻔﻫ

ﻪﻟدﺎﻌﻣ يرﺎﺸﻓود يا ﺮﺿﺎﺣ يدﺪﻋ شور و

رد لﺪﻣ يزﺎﺳ

گﻼﺳا نﺎﻳﺮﺟ ﻢﻳژر - لﺎﻧﺎﻛ رد گﻼﺳا نﺎﻳﺮﺟ رﺎﺘﻓر ﻪﻌﻟﺎﻄﻣ ﻖﻴﻗد يﺮﻴﮔدر و

ﻪﻈﺤﻟ ﺖﻴﻌﻗﻮﻣ گﻼﺳا يا

ﺶﺨﺑ رد 2

ﻲﻟﺎﻴﺳود لﺪﻣ ﺮﺑ ﻢﻛﺎﺣ تﻻدﺎﻌﻣ ﻪﻟﺎﻘﻣ ﻦﻳا

ﺖﻔﻫ ﻪﻟدﺎﻌﻣ و يا ﺪﺷ ﺪﻫاﻮﺧ ﻪﺋارا زﺎﻴﻧ درﻮﻣ ﺖﻟﺎﺣ تﻻدﺎﻌﻣ .

شور ﻪﺘﺴﺴﮔ يزﺎﺳ شور سﺎﺳا ﺮﺑ يدﺪﻋ رﺎﺷ

AUSMDV

و ﻪﺘﺴﺴﮔ يزﺎﺳ ياﺮﺑ ﺪﻳﺪﺟ ﻪﻠﻤﺟ

ﺶﻳﺎﺳآ ﻪﻳور و رﺎﺘﺴﻳﺎﭘﺎﻧ يﺎﻫ

ﺶﺨﺑ رد رﺎﺸﻓ 3

ﺪﻣآ ﺪﻫاﻮﺧ .

ﻪﺒﺗﺮﻣ ﺖﻗد ﻪﺑ ﺎﻘﺗرا 2

ﮓﻧر يﮋﺗاﺮﺘﺳا سﺎﺳا ﺮﺑ -

2ﺎﺗﻮﻛ و

ﻚﻴﻨﻴﻜﺗ كﺎﻜﻨﻫ

ﺶﺨﺑ رد3

4 ﺪﺷ ﺪﻫاﻮﺧ هداد حﺮﺷ .

ﻞﺋﺎﺴﻣ

و يزﺎﻓود فوﺮﻌﻣ و ﻒﻠﺘﺨﻣ لﺪﻣ

يزﺎﺳ ﺑ گﻼﺳا نﺎﻳﺮﺟ ﻪ

هاﺮﻤﻫ

ﻲﻫﺎﮕﺸﻳﺎﻣزآ ﺞﻳﺎﺘﻧ ﺎﺑ ﻪﺴﻳﺎﻘﻣ ﻲﻠﺒﻗ يدﺪﻋ و

ﺶﺨﺑ رد 5

ﺚﺤﺑ و

ﺶﺨﺑ رد ﺞﻳﺎﺘﻧ ﻲﺳرﺮﺑ و 6

ﺪﻣآ ﺪﻫاﻮﺧ .

2 يرﺎﺸﻓود لﺪﻣ- ﺖﻔﻫ

ﻪﻟدﺎﻌﻣ يا

ﻪﻟدﺎﻌﻣ ﺖﻔﻫ لﺪﻣ ناﻮﻨﻋ ﺖﺤﺗ لﺪﻣ ﻦﻳا ﻢﻛاﺮﺗ يا

ﺮﻳﺬﭘ يزﺎﻓﺪﻨﭼ /

لروﺎﺳ ﻲﻟﺎﻴﺳﺪﻨﭼ -

لاﺮﮕﺑآ ] 17 [ ﺖﺳا فوﺮﻌﻣ .

ﺮﺿﺎﺣ رﺎﻛ رد

ﻪﻠﻤﺟ رد لﺪﻣ ﻲﻳﺎﻧاﻮﺗ و يراﺪﻳﺎﭘ ﺶﻳاﺰﻓا ياﺮﺑ ﻲﻛﺎﻜﻄﺻا يﺎﻫ

لﺪﻣ يزﺎﺳ نﺎﻳﺮﺟ ﻪﻳﻻ يﺎﻫ هﺪﺷ ﻪﻓﺎﺿا گﻼﺳا و يا ﺪﻧا

. تﻻدﺎﻌﻣ

ﺖﺳا ﻞﻳذ حﺮﺷ ﻪﺑ :

ﻊﻳﺎﻣ و زﺎﮔ زﺎﻓ ياﺮﺑ مﺮﺟ يﺎﻘﺑ تﻻدﺎﻌﻣ :

) 1 (

(

^g ^g

) (

^g ^g^v^g

)

⁰

t ρ α x ρ α

∂ ∂

+ =

∂ ∂

) 2 (

(

l l

) (

l lvl

)

⁰ t ρ α x ρ α

∂ ∂

+ =

∂ ∂

2. Runge-Kuta 3. Hancok

(4)

ﻣ دﺎﻌ ﻪﻟ زﺎﻓ ياﺮﺑ ﻢﺘﻨﻤﻣ يﺎﻘﺑ زﺎﮔ

:

) 3 (

( ) ( )

( )

g g g g g g g

g g

g

i i i g g g

v v v

t x x P

P S S Q

x

α ρ α ρ

α

α τ τ

∂ ∂ ⋅ ∂

+ +

∂ ∂ ∂

= ∂ − − +

∂

ﻣ دﺎﻌ ﻪﻟ ياﺮﺑ ﻢﺘﻨﻤﻣ يﺎﻘﺑ زﺎﻓ

ﻊﻳﺎﻣ :

) 4 (

( ) ( )

( )

l l l l l l l

l l

l

i i i l l g

v v v

t x x P

P S S Q

x

α ρ α ρ

α

α τ τ

∂ ∂ ⋅ ∂

+ +

∂ ∂ ∂

= ∂ − − +

∂

زﺎﻓ ود يژﺮﻧا يﺎﻘﺑ تﻻدﺎﻌﻣ :

) 5 (

( ) ( )

( )

g g g g g g g g g

g

i i i g l

E v E P

t x

PV P P P

x

α ρ α ρ α

α µ

∂ ∂ +

∂ + ∂

= ∂ + −

∂

) 6 (

( ) ( )

( )

l l l l l l l l l

l

i i i g l

E v E P

t x

PV P P P

x

α ρ α ρ α

α µ

∂ ∂ +

∂ + ∂

= ∂ − −

∂

ﻣ ﻲﻤﺠﺣ ﺮﺴﻛ تاﺮﻴﻴﻐﺗ ﻲﺑﺎﻳزرا ﻪﻟدﺎﻌ :

) 7 (

( )

g g

i g l

V P P

t x

α α

∂ ∂ µ

+ = −

∂ ∂

ﻛ زﺎﻓ ياﺮﺑ ﻪ

،k ρk

،ﻲﻟﺎﮕﭼ Pk

،رﺎﺸﻓ v_k

،ﺖﻋﺮﺳ ﺮﺴﻛα

ﻲﻤﺠﺣ

k و ﺖﺳا ﻢﺘﻨﻤﻣ تﻻدﺎﻌﻣ رد ﻪﻤﺸﭼ مﺮﺗQ i .

رﺎﺸﻓ P

كﺮﺘﺸﻣ ﻞﺼﻓ

i و ﻪﻄﺑار سﺎﺳا ﺮﺑ و هدﻮﺑ كﺮﺘﺸﻣ ﻞﺼﻓ ﺖﻋﺮﺳV

ترﻮﺻ ﻪﺑ لاﺮﮕﺑآ و لروﺎﺳ يدﺎﻬﻨﺸﻴﭘ ﻪﻟدﺎﻌﻣ

) 8 ( ﻲﻣ ﻪﺋارا دﻮﺷ :

) 8 (

g g g l l l

i

g g l l

v v

V α ρ α ρ

α ρ α ρ

= + +

ﺑ تﻻدﺎﻌﻣ ﻦﺘﺴﺑ ياﺮ ﻪﺑ ﺮﮕﻳد ﻲﻓﺎﺿا ﻪﻄﺑار ﻚﻳ ﻪﺑ زﺎﻴﻧ

ترﻮﺻ

ﺖﺳا ﺮﻳز :

) 9 (

g l 1

α +α =

EK

ترﺎﺒﻋ ﺖﺳا ﻪﺑ و ﻞﻛ يژﺮﻧا زا ترﻮﺻ

k

K k

E =e +v

2

2 ek.دﻮﺷﻲﻣ ﻪﺘﺷﻮﻧ

ﺖﺳا ﻊﻳﺎﻣ و زﺎﮔ يﺎﻫزﺎﻓ ﻲﻧورد يژﺮﻧا .

ياﺮﺑ

ﺖﻟﺎﺣ ﻪﻟدﺎﻌﻣ زا ﻊﻳﺎﻣ رﺎﺸﻓ ﺪﻨﻔﻴﺘﺳا

ﺖﻟﺎﺣ ﻪﻟدﺎﻌﻣ زا زﺎﮔ ياﺮﺑ و1

ترﻮﺻ ﻪﺑ ﻞﻣﺎﻛ زﺎﮔ ﻪﻄﺑار

) 10 ( ﺪﻳدﺮﮔ هدﺎﻔﺘﺳا :

1. Stiffened equation of state

) 10 ( ( 1) ,

( 1)

l l l l l l

g g g g

P e P

P e

γ ρ γ

γ ρ

= − − ∞

= −

زا ﻊﻳﺎﻣ و زﺎﮔ ﻲﻧورد يژﺮﻧا ياﺮﺑ ﻪﻄﺑار

) 11 ( ﺪﺷ هدﺎﻔﺘﺳا :

) 11 (

,

( , )

1 ( , )

g

g g g g

g l l

l l l l

l l

e T R T

cp P

e T T

ρ γ

ρ γ ρ

∞

= −

= +

∞,_l = × P 6 10⁸

، J/kgK

, 4186 Cp l =

، J/kgK

, 1008 Cp g= ،

l / γ =1 8 ،

g / γ =1 4 و

J/kgK 2 /

g 288 R = ﺖﺳا . ياﺮﺑ

ﻪﻄﺑار تﻮﺻ ﺖﻋﺮﺳ

( )

(

,

)

^/

k k p k k

c = γ −1C T ^{0 5}

ﺑ ﻪ هدﺮﺑ رﺎﻛ

ﺪﺷ . ﻪﻠﻤﺟ ر ﺎﺸﻓ ﺢﻴﺤﺼﺗ

(

Pk −Pi

)

، تاﺮﻴﺛﺎﺗ ﺮﮕﻧﺎﻴﺑ ﻪﻛ

ﺶﻨﺗ و ﻲﻜﻴﺗﺎﺘﺳاورﺪﻴﻫ ﺖﺳا كﺮﺘﺸﻣ حﻮﻄﺳ يﺎﻫ

، ياﺮﺑ

لﺪﻣ يزﺎﺳ كﺮﺘﺸﻣ ﻞﺼﻓ رﺎﺸﻓ ﻪﺒﺳﺎﺤﻣ و Pi

ﺑ ﻪ ﺪﺷ ﻪﺘﻓﺮﮔ رﺎﻛ .

يدﺎﻬﻨﺸﻴﭘ ﻪﻄﺑار زا رﻮﻈﻨﻣ ﻦﻳﺪﺑ ﻦﺸﺴﺑ

] 24 [ هدﺎﻔﺘـﺳا ﺪـﺷ .

راﺪﻘﻣ ﻪﻟدﺎﻌﻣ ﻦﻳا رد يوﺎﺴﻣδ

2 / 1 ﺖﺳا .

) 12 (

( )

g l g l

g i g l

g l l g

P P P α α ρ ρ v v δ ρ α ρ α

∆ = − = −

+

2

يرﺎﺘﺧﺎﺳ ﻂﺑاور

، ﻪﺘﺴﺑ ﺖﻬﺟ ﻲﻟﺎﻴﺳود لﺪﻣ رد ﻪﻛ نﺪﺷ

ﺪﻧزﺎﻴﻧ درﻮﻣ تﻻدﺎﻌﻣ

، راﻮﻳد ﺎﺑ زﺎﮔ زﺎﻓ ﺶﻨﺗ ﻞﻣﺎﺷ τg

زﺎﻓ ﺶﻨﺗ ،

راﻮﻳد ﺎﺑ ﻊﻳﺎﻣ τl

زﺎﻓ ود كﺮﺘﺸﻣ ﻞﺼﻓ رد ﺶﻨﺗ و τi

ﻲﻣ ﺪﻨﺷﺎﺑ

ﻪﺑ ﻪﻛ ﻲﻣ هدﺎﻔﺘﺳا ﺮﻳز فوﺮﻌﻣ ﻂﺑاور زا ﺐﻴﺗﺮﺗ دﻮﺷ

:

) 13 (

g fg gVg Vg

τ =1 ρ 2

) 14 (

l fl lVl Vl

τ =1 ρ 2

) 15 (

( )

I fI g Vg Vl Vg Vl

τ =1 ρ − −

2

ﻂﺑاور ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ )

13 ( ، ) 14 ( و ) 15 (،

ﻲﻣ ﻪﻈﺣﻼﻣ ﻪﻛ دﻮﺷ

ﺶﻨﺗ ﻪﺒﺳﺎﺤﻣ ياﺮﺑ ﮓﻨﻴﻧﺎﻓ ﻲﻛﺎﻜﻄﺻا يﺎﻫرﻮﺘﻛﺎﻓ ﺪﻳﺎﺑ ﺎﻫ

ﻲﻨﻌﻳ2

fg l ، و f fI

ﺶﺨﺑ رد ﻪﻛ ﺪﻧﻮﺷ ﻪﺒﺳﺎﺤﻣ 5

ﻲﻣ ﻪﺋارا دﻮﺷ .

3 - يدﺪﻋ شور ﻲﺒﻴﻛﺮﺗ رﺎﺷ ﻢﻴﺴﻘﺗ

شور رد رﺎﺷ رادﺮﺑ ﻢﻴﺴﻘﺗ

ﻪﻠﻤﺟ3

و ﻢﺘﻨﻤﻣ ،مﺮﺟ رﺎﺘﺴﻳﺎﭘ رﺎﺷ

ترﻮﺻ ﻪﺑ يژﺮﻧا ﻪﻄﺑار

) 16 ( ﻲﻣ ﻪﺘﺷﻮﻧ دﻮﺷ

] 20،23 [:

2. Fanning

3. Flux vector splitting

(5)

) 16 (

(

ψv

)

j₊1 =V j⁺ψ j +V j⁻₊1ψj₊1 2

ﻦﻳا رد ﻪﺘﺴﺴﮔ يزﺎﺳ

، و ﺖﺳدﻻﺎﺑ ﺖﻋﺮﺳ ﻲﻧزو ﺐﻳﺮﺿ

ﻦﻴﻳﺎﭘ ﻪﻄﺑار ترﻮﺻ ﻪﺑ ﺖﺳد )

17 ( ﻲﻣ ﻪﺘﺷﻮﻧ دﻮﺷ

:

) 17 (

( )

v c if v c V c

v v otherwise

±

± ± ≤

=

 ±



1 2

4 1 2

شور ﻦﻳا رد

، يدﺪﻋ رﺎﺷ مﺮﺗ زا ﻲﺒﻴﻛﺮﺗF

و ﺖﺳدﻻﺎﺑ يﺎﻫ

ﻦﻴﻳﺎﭘ ﺖﺳد ﻪﻄﺑار ترﻮﺻ ﻪﺑ و ﺖﺳا )

18 ( دﻮﺷ ﻲﻣ ﻪﺘﺷﻮﻧ :

) 18 (

( _L) ( _R)

F =F⁺U +F⁻ U

ﻪﻄﺑار ) 17 ( ﻲﻣ ﺎﺿرا ار ﺮﻳز طﺮﺷ ﻪﻛ ﺖﺳا يﻮﺤﻧ ﻪﺑ ﺪﻳﺎﻤﻧ

:

) 19 (

( , ) ( , )

V =V⁺ v c +V⁻ v c

ﻪﻛ ﻒﻳﺮﻌﺗ ﺎﺑ ﺎﺠﻨﻳا رد و ﺖﺳا يزﺎﻓود طﻮﻠﺨﻣ رد تﻮﺻ ﺖﻋﺮﺳc

ﺮﺑ ﻪﻄﺑار ﻚﻳ ﻪﻳﺎﭘ

ﺖﺒﺴﻧ αρ ﻪﻄﺑار ﻚﻳ تﻮﺻ ﺖﻋﺮﺳ ياﺮﺑ

ﺑ ﻪ ﻲﻣ ﺖﺳد ﺪﻳآ

:

) 20 (

g g

l l

l cl g cg l g c

α α

ρ ρ ρ ρ

   

 

+  = + 

     

  ²   ²   ²

1 1 1

ﺑ زا ﺪﻌ ﻲﻤﻛ ﻲﻣ ،ﻲﺿﺎﻳر تﺎﻴﻠﻤﻋ ترﻮﺻ ﻪﺑ ار ﻪﻄﺑار ﻦﻳا ناﻮﺗ

ﻪﻄﺑار ) 21 ( دﻮﻤﻧ ﻲﺴﻳﻮﻧزﺎﺑ ]

22

، 23 [ :

) 21 (

l g

l l g g

c

c c

α α

ρ ρ

α α

ρ ρ

 

+ 

   

   

=    

+ 

   

  ²   ²

1 1

ياﺮﺑ ﻪﺘﺴﺴﮔ ﺳ يزﺎ اﺪﺘﺑا يژﺮﻧا و ﻢﺘﻨﻤﻣ ،مﺮﺟ يﺎﻘﺑ تﻻدﺎﻌﻣ

ﻲﻣ ﻪﺘﺷﻮﻧ ﺮﻳز ترﻮﺻ ﻪﺑ تﻻدﺎﻌﻣ دﻮﺷ

:

) 22 (

F S

U + =

t x

∂ ∂

ﻪﻟدﺎﻌﻣ ) 22 ( ﺮﻳز ترﻮﺻ ﻪﺑ ﻪﺘﺴﺴﮔ

يزﺎﺳ ﻲﻣ دﻮﺷ :

) 23 (

[ ]

ⁿ

[ ]

ⁿ

n n j j

j j n

j

F F

U U

t x S

+ + − −

− + =

∆ ∆

1 1

1

2 2

ﻲﻣ رﺎﺘﺷﻮﻧ ﻦﻳا رد ﻪﻛ ناﻮﺗ

ﺮﻫ رﺎﺷ ﻪﻠﻤﺟ رﺎﺷ ﺖﻤﺴﻗ ود ﻪﺑ ارF

نآ و هدﻮﻤﻧ ﻢﻴﺴﻘﺗ ﻢﺘﻨﻤﻣ رﺎﺷ و يرﺎﺸﻓ ترﻮﺻ ﻪﺑ ار

j j j

P V

F F F

+ + +

   

=   + 

   

   

1 1 1

2 2 2

ﺖﺷﻮﻧ . ﺮﻫ ﺐﻳﺮﻘﺗ شور

ﻪﻟدﺎﻌﻣ ءﺰﺟ )

23 ( ﻲﻣ ﻲﺳرﺮﺑ ﻪﻣادا رد دﻮﺷ

. 3

- 1 - رﺎﺷ ﻒﻳﺮﻌﺗ

j V

F

+ + + +

 

 

 

 

 

 

 

 

 

 ¹2

شور رد

AUSMD

ترﻮﺻ ﻪﺑ ﻢﺘﻨﻤﻣ و مﺮﺟ يﺎﻘﺑ تﻻدﺎﻌﻣ ،

تﻻدﺎﻌﻣ ) 24 ( و ) 25 ( ﻲﻣ ﻪﺘﺷﻮﻧ ﻮﺷ

ﻧ ﺪ . ﻪﻠﻤﺟ يﺎﻘﺑ ﻪﻟدﺎﻌﻣ يﺎﻫ

ﺮﻳز ترﻮﺻ ﻪﺑ مﺮﺟ ﻪﺘﺴﺴﮔ

) 24 (

(

ραv

)

¹_,AUSMD =

(

ρα

)

LVL⁺+

(

ρα

)

RVR⁻

2

ﻪﻠﻤﺟ ﺮﻳز ترﻮﺻ ﻪﺑ ﻢﺘﻨﻤﻣ يﺎﻘﺑ ﻪﻟدﺎﻌﻣ يﺎﻫ ﻪﺘﺴﺴﮔ

يزﺎﺳ

ﻲﻣ دﻮﺷ :

) 25 (

( ) ⁽ ^{) (} ⁾

( ) ( )

, [

]

L R

AUSMD

R L

v v v v

v v v

ρα ρα

ρα

= +

− −

2 1 1

2 2

1 2

1 2 1 2

شور رد

AUSMV

ترﻮﺻ ﻪﺑ ﻢﺘﻨﻤﻣ و مﺮﺟ يﺎﻘﺑ تﻻدﺎﻌﻣ ،

تﻻدﺎﻌﻣ )

26 ( و ) 27 ( ﻲﻣ ﻪﺘﺷﻮﻧ دﻮﺷ

. ﻪﻠﻤﺟ يﺎﻘﺑ ﻪﻟدﺎﻌﻣ يﺎﻫ

ﻪﺑ مﺮﺟ ﺮﻳز ترﻮﺻ ﻪﺘﺴﺴﮔ

) 26 (

(

ραv

)

1_,AUSMV =

(

ρα

)

LVL⁺ +

(

ρα

)

RVR⁻

2

ﻪﻠﻤﺟ ﺮﻳز ترﻮﺻ ﻪﺑ ﻢﺘﻨﻤﻣ يﺎﻘﺑ ﻪﻟدﺎﻌﻣ يﺎﻫ ﻪﺘﺴﺴﮔ

يزﺎﺳ

ﻲﻣ دﻮﺷ :

) 27 (

(

ραv²

)

₁_,AUSMV =V^L⁺^.

⁽

ραν

⁾

L+V^R⁻^.

⁽

ραν

⁾

R

2

مﺮﺗ ﻪﺑ يژﺮﻧا يﺎﻘﺑ ﻪﻟدﺎﻌﻣ يﺎﻫ ﻲﻣ يزﺎﺳاﺪﺟ ﺮﻳز ترﻮﺻ

دﻮﺷ :

) 28 (

( ) ( )

( )

1/ 2 L L

R R

v E P E P V

E P V

ρα α ρα α

ρα α ⁻

+ = + +

+ +

شور رد ﺖﻋﺮﺳ ﻲﻧزو ﺐﻳﺮﺿ

AUSMD

و

AUSMV

ﻪﺑ

ﻲﻣ ﻪﺘﺷﻮﻧ ﺮﻳز ترﻮﺻ دﻮﺷ

:

( )

/ ( ( ) )

L R

v v v v

v c if v c

V c

v v otherwise

± χ







± ±

± ± − + <

=

± 1 2

4 2 2

1 2

) 29 ( ﻊﺑﺎﺗ ﻪﻟدﺎﻌﻣ رد ﻪﻛ χ )

29 ( ﺮﻳز ترﻮﺻ ﻪﺑ ﺖﺳا هﺪﺷ ﺮﻫﺎﻇ

ﻲﻣ ﻒﻳﺮﻌﺗ دﻮﺷ

:

L , R

L R

L R L R

ρ ρ

α α

χ χ

ρ ρ ρ ρ

α α α α

   

   

   

= =

       

+ +

       

       

2 2