A vertex centered high order MUSCL scheme applying to linearised Euler acoustics - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2002

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

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.
Fichier principal
Vignette du fichier
RR-4459.pdf (507.56 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00072129 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00072129 , version 1

Cite

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⟩
159 View
392 Download

Share

Gmail Facebook X LinkedIn More