Numerical comparison of unsteady compressible viscous flow in convergent channel

Pořízková, Petra; Kozel, Karel; Horáček, Jaromír

  • Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 203-213

Abstract

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This study deals with a numerical solution of a 2D flows of a compressible viscous fluids in a convergent channel for low inlet airflow velocity. Three governing systems – Full system, Adiabatic system, Iso-energetic system b a s e d o n t h e N a v i e r - S t o k e s e q u a t i o n s f o r l a m i n a r f l o w a r e t e s t e d . T h e n u m e r i c a l s o l u t i o n i s r e a l i z e d b y f i n i t e v o l u m e m e t h o d a n d t h e p r e d i c t o r - c o r r e c t o r M a c C o r m a c k s c h e m e w i t h J a m e s o n a r t i f i c i a l v i s c o s i t y u s i n g a g r i d o f q u a d r i l a t e r a l c e l l s . T h e u n s t e a d y g r i d o f q u a d r i l a t e r a l c e l l s i s c o n s i d e r e d i n t h e f o r m o f c o n s e r v a t i o n l a w s u s i n g A r b i t r a r y L a g r a n g i a n - E u l e r i a n m e t h o d . T h e n u m e r i c a l r e s u l t s , a c q u i r e d f r o m a d e v e l o p e d p r o g r a m , a r e p r e s e n t e d f o r i n l e t v e l o c i t y u=4.12 ms-1 a n d R e y n o l d s n u m b e r R e = 4 103 .

How to cite

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Pořízková, Petra, Kozel, Karel, and Horáček, Jaromír. "Numerical comparison of unsteady compressible viscous flow in convergent channel." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 203-213. <http://eudml.org/doc/287805>.

@inProceedings{Pořízková2012,
abstract = {This study deals with a numerical solution of a 2D flows of a compressible viscous fluids in a convergent channel for low inlet airflow velocity. Three governing systems – Full system, Adiabatic system, Iso-energetic system$ based on the Navier-Stokes equations for laminar flow are tested. The numerical solution is realized by finite volume method and the predictor-corrector MacCormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. The unsteady grid of quadrilateral cells is considered in the form of conservation laws using Arbitrary Lagrangian-Eulerian method. The numerical results, acquired from a developed program, are presented for inlet velocity $u=4.12 ms-1$ and Reynolds number Re = $4 103$.$},
author = {Pořízková, Petra, Kozel, Karel, Horáček, Jaromír},
booktitle = {Applications of Mathematics 2012},
keywords = {vocal tract; ALE finite volume method; adiabatic system; iso-energetic system; unsteady flow},
location = {Prague},
pages = {203-213},
publisher = {Institute of Mathematics AS CR},
title = {Numerical comparison of unsteady compressible viscous flow in convergent channel},
url = {http://eudml.org/doc/287805},
year = {2012},
}

TY - CLSWK
AU - Pořízková, Petra
AU - Kozel, Karel
AU - Horáček, Jaromír
TI - Numerical comparison of unsteady compressible viscous flow in convergent channel
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 203
EP - 213
AB - This study deals with a numerical solution of a 2D flows of a compressible viscous fluids in a convergent channel for low inlet airflow velocity. Three governing systems – Full system, Adiabatic system, Iso-energetic system$ based on the Navier-Stokes equations for laminar flow are tested. The numerical solution is realized by finite volume method and the predictor-corrector MacCormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. The unsteady grid of quadrilateral cells is considered in the form of conservation laws using Arbitrary Lagrangian-Eulerian method. The numerical results, acquired from a developed program, are presented for inlet velocity $u=4.12 ms-1$ and Reynolds number Re = $4 103$.$
KW - vocal tract; ALE finite volume method; adiabatic system; iso-energetic system; unsteady flow
UR - http://eudml.org/doc/287805
ER -

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