Journal of applied mathematics & informatics
- Volume 16 Issue 1_2
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- Pages.383-405
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- 2004
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
NUMERICAL SIMULATIONS FOR THE CONTRACTION FLOW USING GRID GENERATION
- Salem, S.A. (Department of Mathematics, Suez Canal University)
- Published : 2004.09.01
Abstract
We study the incomprssible Navier Stokes equations for the flow inside contraction geometry. The governing equations are expressed in the vorticity-stream function formulations. A rectangular computational domain is arised by elliptic grid generation technique. The numerical solution is based on a technique of automatic numerical generation of acurvilinear coordinate system by transforming the governing equation into computational plane. The transformed equations are approximated using central differences and solved simultaneously by successive over relaxation iteration. The time dependent of the vorticity equation solved by using explicit marching procedure. We will apply the technique on several irregular-shapes.
Keywords
- Grid generation;
- stretching functions;
- Navier-Stokes equations;
- successive over-relaxation;
- contraction flow.