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A vertex centered high order MUSCL scheme applying to linearised Euler acoustics

Ilya Abalakin 1 Alain Dervieux 2 T.Atiana Kozubskaya 1
2 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : This report proposes a linearised Euler discretisation that will be compatibl- e with some existing state of art in numerical methods for compressible flows on unstructured triangulations. The important property is the use of a stabilisation terms involving sixth-order derivatives. The main idea is to realize this programme by developing a scheme that enjoys superconvergence, i.e. a high convergence order when it is applied to a cartesian triangulation. We present a test case validating the theoretical order of accuracy and the so-called Tam test case, allowing some comparisons with two other typical numerical schemes for acoustics.
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https://hal.inria.fr/inria-00072129
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Submitted on : Tuesday, May 23, 2006 - 7:51:28 PM
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Ilya Abalakin, Alain Dervieux, T.Atiana Kozubskaya. A vertex centered high order MUSCL scheme applying to linearised Euler acoustics. [Research Report] RR-4459, INRIA. 2002. ⟨inria-00072129⟩

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