期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 229, 期 5, 页码 1425-1447出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.10.037
关键词
Finite volume; Hybrid mesh; Gradient reconstruction; Consistence; Stability
资金
- Engineering and Physical Sciences Research Council [GR/S77844/01] Funding Source: researchfish
The main approaches of discretising the viscous operator of fluid flow on hybrid meshes are analysed for accuracy, consistence, monotonicity and sensitivity to mesh quality. As none of these approaches is fully satisfactory, a novel method using an approximated finite-element approach is presented and analysed. The methods are compared for the linear heat equation and the Navier-Stokes equations. While the novel approximated finite-element method performs significantly better for the linear heat equation, a stabilised edge-based method performs equally well for the considered test-cases for the Navier-Stokes equations. (C) 2009 Elsevier Inc. All rights reserved.
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