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Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids

Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids
Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids
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.
non-staggered methodology, finite volume, unstructured grids, wavy boundary
0271-2091
747-768
Barton, I.E.
a39c2842-21d9-4ea4-99b9-14738d2c4a0b
Markham-Smith, D.
36e53716-6b8c-4b16-b1e0-7f15cd8049f4
Bressloff, N.
4f531e64-dbb3-41e3-a5d3-e6a5a7a77c92
Barton, I.E.
a39c2842-21d9-4ea4-99b9-14738d2c4a0b
Markham-Smith, D.
36e53716-6b8c-4b16-b1e0-7f15cd8049f4
Bressloff, N.
4f531e64-dbb3-41e3-a5d3-e6a5a7a77c92

Barton, I.E., Markham-Smith, D. and Bressloff, N. (2002) Finite volume scheme for the solution of fluid flow problems on unstructured non-staggered grids. International Journal for Numerical Methods in Fluids, 38 (8), 747-768. (doi:10.1002/fld.247).

Record type: Article

Abstract

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.

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Published date: 20 March 2002
Keywords: non-staggered methodology, finite volume, unstructured grids, wavy boundary

Identifiers

Local EPrints ID: 66546
URI: http://eprints.soton.ac.uk/id/eprint/66546
ISSN: 0271-2091
PURE UUID: 2b7e6660-b824-4ab7-80fc-035e62735229

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Date deposited: 03 Jul 2009
Last modified: 26 Apr 2021 16:34

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