Improved Detection Criteria for the Multi-dimensional Optimal Order Detection MOOD on unstructured meshes with very high-order polynomialsReport as inadecuate




Improved Detection Criteria for the Multi-dimensional Optimal Order Detection MOOD on unstructured meshes with very high-order polynomials - Download this document for free, or read online. Document in PDF available to download.

1 IMT - Institut de Mathématiques de Toulouse UMR5219 2 DMA - Departamento de Matemática e Aplicaçoes

Abstract : This paper extends the MOOD method proposed by the authors in -A high-order finite volume method for hyperbolic systems: Multidimensional Optimal Order Detection MOOD-, J. Comput. Phys. 230, pp 4028-4050, 2011, along two complementary axes: extension to very high-order polynomial reconstruction on non-conformal unstructured meshes and new Detection Criteria. The former is a natural extension of the previous cited work which confirms the good behavior of the MOOD method. The latter is a necessary brick to overcome limitations of the Discrete Maximum Principle used in the previous work. Numerical results on advection problems and hydrodynamics Euler equations are presented to show that the MOOD method is effectively high-order up to sixth-order, intrinsically positivity-preserving on hydrodynamics test cases and computationally efficient.

Keywords : positivity-preserving Finite Volume high-order conservation law polynomial reconstruction limitation polygonal non-conformal unstructured Euler MOOD positivity-preserving.





Author: Steven Diot - Stéphane Clain - Raphaël Loubère -

Source: https://hal.archives-ouvertes.fr/



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