L∞-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Calgaro, Caterina^1,2  Chane-Kane, Emile²  Creuse, Emmanuel^1,2  Goudon, Thierry^1,2 

[1] Univ Lille 1, CNRS, UMR 8524, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

[2] Ctr Rech INRIA Lille Nord Europe, EPI SIMPAF, F-59658 Villeneuve Dascq, France

关键词: Finite volume method;    Maximum principle property;    Variable density flows;    Unstructured meshes;   

DOI  :  10.1016/j.jcp.2010.04.034

来源: Elsevier

【 摘 要 】

This work is devoted to the design of multi-dimensional finite volume schemes for solving transport equations on unstructured grids In the framework of MUSCL vertex-based methods we construct numerical fluxes such that the local maximum property is guaranteed under an explicit Courant-Friedrichs-Levy condition. The method can be naturally completed by adaptive local mesh refinements and it turns out that the mesh generation is less constrained than when using the competitive cell-centered methods. We illustrate the effectiveness of the scheme by simulating variable density incompressible viscous flows Numerical simulations underline the theoretical predictions and succeed in the computation of high density ratio phenomena such as a water bubble falling in air (C) 2010 Elsevier Inc All rights reserved

【 授权许可】

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