A simple second order cartesian scheme for compressible Euler flows

Yannick Gorsse; Angelo Iollo; Haysam Telib; Lisl Weynans

inria-00633543, version 1

A simple second order cartesian scheme for compressible Euler flows

Yannick Gorsse () ^1, 2, Angelo Iollo () ^1, 2, Haysam Telib ()^a^, 3, Lisl Weynans () ^1, 2

N° RR-7773 (2011)

Abstract: We present a finite-volume scheme for compressible Euler flows where the grid is cartesian and it does not fit to the body. The scheme, based on the definition of an ad hoc Riemann problem at solid boundaries, is simple to implement and it is formally second order accurate. Results show that pressure is locally and globally second accurate, whereas the accuracy of other variables is between 1 and 2. Examples of flow solutions in two and three dimension are shown.

a – Politecnico di Torino
1: Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2: MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
3: Dipartimento di Ingegneria Aeronautica e Spaziale [Torino] (DIASP)
Politecnico di Torino

inria-00633543, version 1
http://hal.inria.fr/inria-00633543
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From: Yannick Gorsse <>
Submitted on: Tuesday, 18 October 2011 16:58:57
Updated on: Wednesday, 19 October 2011 10:02:29

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