Title: A collocated finite volume method for incompressible flow on unstructured meshes

Authors: Bo Yu, Hiroyuki Ozoe, Wen-Quan Tao

Addresses: Turbomachinery Research Group, Institute for Energy Utilisation, National Institute of Advanced Industrial Science and Technology, 1-2 Namiki, Tsukuba, Ibaraki 305-8564, Japan. ' Institute for Materials Chemistry and Engineering, Kyushu University, Kasuga koen 6-1, Kasuga 816, Japan. ' School of Power and Energy Engineering, Xi'an Jiaotong University, PR China

Abstract: A finite volume method on unstructured meshes for the solution of incompressible Navier-Stokes equations is presented in this paper. New second-order spatial discretisations for convection and diffusion terms are developed. A non-staggered variable arrangement was utilised for all variables. Momentum interpolation technique was employed to avoid pressure checker boarding. To minimise storage requirement, a segregated solution strategy was adopted with pressure and velocity coupled by the SIMPLE method. The proposed finite volume scheme was applied to several standard problems. Computational results show that the performance of the scheme is satisfactory.

Keywords: unstructured grid; finite volume method; non-staggered grid; simple method; incompressible flow; unstructured meshes.

DOI: 10.1504/PCFD.2005.006753

Progress in Computational Fluid Dynamics, An International Journal, 2005 Vol.5 No.3/4/5, pp.181 - 189

Published online: 05 Apr 2005 *

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