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A co‐ordinate system independent streamwise upwind method for fluid flow computation
Author(s) -
Ferziger Joel H.,
Tseng Yuheng
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.737
Subject(s) - upwind scheme , mechanics , turbulence modeling , convection–diffusion equation , computation , computational fluid dynamics , convection , numerical diffusion , mathematics , flow (mathematics) , geometry , anisotropy , physics , turbulence , mathematical analysis , optics , algorithm , discretization
A new co‐ordinate invariant streamwise upwind formulation for convection dominated flows is developed. The eddy diffusivity/viscosity is added directly to the equations in order to remove the oscillations in the solution. The equations then can be solved by any high‐order scheme and the solution retains the accuracy of the high‐order scheme. The accuracy and reduced lateral thickness growth rate are demonstrated with several numerical examples, including pure convective flows and lid‐driven cavity flow. The lateral spreading due to the numerical diffusion is controlled by the anisotropic tensor. Copyright © 2004 John Wiley & Sons, Ltd.