多边形网格
稳健性(进化)
数学
应用数学
不变(物理)
数学优化
财产(哲学)
几何学
数学物理
生物化学
基因
认识论
哲学
化学
作者
Christophe Berthon,Yvès Coudière,Vivien Desveaux
出处
期刊:Mathematical Modelling and Numerical Analysis
[EDP Sciences]
日期:2014-01-20
卷期号:48 (2): 583-602
被引量:9
摘要
We discuss new MUSCL reconstructions to approximate the solutions of hyperbolic systems of conservations laws on 2D unstructured meshes. To address such an issue, we write two MUSCL schemes on two overlapping meshes. A gradient reconstruction procedure is next defined by involving both approximations coming from each MUSCL scheme. This process increases the number of numerical unknowns, but it allows to reconstruct very accurate gradients. Moreover a particular attention is paid on the limitation procedure to enforce the required robustness property. Indeed, the invariant region is usually preserved at the expense of a more restrictive CFL condition. Here, we try to optimize this condition in order to reduce the computational cost.
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