Numerical investigation of BB-AMR scheme using entropy production as refinement criterion |
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| Authors: | Thomas Altazin Mehmet Ersoy Damien Sous Lyudmyla Yushchenko |
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| Institution: | 1. Institut de Mathématique de Toulon (IMATH), Université de Toulon, La Garde, France;2. Université de Toulon, Aix-Marseille Université, CNRS/INSU, IRD, Mediterranean Institute of Oceanography (MIO), Marseille, France |
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| Abstract: | In this work, a parallel finite volume scheme on unstructured meshes is applied to fluid flow for multidimensional hyperbolic system of conservation laws. It is based on a block-based adaptive mesh refinement strategy which allows quick meshing and easy parallelisation. As a continuation and as an extension of a previous work, the useful numerical density of entropy production is used as mesh refinement criterion combined with a local time-stepping method to preserve the computational time. Then, we numerically investigate its efficiency through several test cases with a confrontation with exact solution or experimental data. |
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| Keywords: | multidimensional hyperbolic system finite volume adaptive mesh refinement numerical density of entropy production local time stepping |
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