A Bi–Hyperbolic Finite Volume Method on Quadrilateral Meshes
| Autor: | Fredrik Svensson, Hans Joachim Schroll |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Numerical Analysis
Conservation law Quadrilateral Finite volume method Generalization Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS General Engineering Volume mesh Topology Mathematics::Numerical Analysis Theoretical Computer Science Computational Mathematics Third order Computer Science::Graphics Computational Theory and Mathematics Flow (mathematics) Applied mathematics Point (geometry) Software ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | Journal of Scientific Computing. 26:237-260 |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-004-4927-9 |
| Popis: | A non-oscillatory, high resolution reconstruction method on quadrilateral meshes in two dimensions (2D) is presented. It is a two-dimensional extension of Marquina's hyperbolic method. The generalization to quadrilateral meshes allows the method to simulate realistic flow problems in complex domains. An essential point in the construction of the method is a second order accurate approximation of gradients on an irregular, quadrilateral mesh. The resulting scheme is optimal in the sense that it is third order accurate and the reconstruction requires only nearest neighbour information. Numerical experiments are presented and the computational results are compared to experimental data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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