Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR)
| Autor: | Yves Coudière, Vivien Desveaux, Christophe Berthon |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Numerical Analysis
Mathematical optimization Applied Mathematics Courant–Friedrichs–Lewy condition ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Dual mesh Hyperbolic systems Computational Mathematics Robustness (computer science) Modeling and Simulation Applied mathematics Polygon mesh MUSCL scheme Invariant (mathematics) Gradient reconstruction Analysis ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | ESAIM: Mathematical Modelling and Numerical Analysis. 48:583-602 |
| ISSN: | 1290-3841 0764-583X |
| DOI: | 10.1051/m2an/2013105 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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