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Finite volume scheme for the solution of fluid flow problems on unstructured non‐staggered grids
Author(s) -
Barton I. E.,
MarkhamSmith D.,
Bressloff N.
Publication year - 2002
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.247
Subject(s) - finite volume method , unstructured grid , laminar flow , discretization , flow (mathematics) , dissipation , solver , mathematics , computational fluid dynamics , boundary value problem , mathematical optimization , computer science , mechanics , geometry , mathematical analysis , physics , thermodynamics
A recently developed non‐staggered methodology which uses the principle of applying fourth‐order dissipation to the governing pressure‐correction equation is developed so it can be applied to unstructured grids. A finite volume methodology is used for discretization. The fourth‐order dissipation term is found using second‐order gradient operators. This makes it straightforward to incorporate the dissipation term on unstructured grids. The new methodology is compared with solutions from a standard finite volume second‐order flow solver and is also tested for a standard laminar driven‐lid flow problem with grids systems that do not have a uniform structure. Finally, we demonstrate how the new methodology can be used to predict flow over a wavy boundary. Copyright © 2002 John Wiley & Sons, Ltd.