A simple second order cartesian scheme for compressible Euler flows

Authors:
Yannick Gorsse;Angelo Iollo;Haysam Telib;Lisl Weynans
Affiliations:
Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France;Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France;Dipartimento di Ingegneria Aeronautica e Spaziale, Politecnico di Torino, and Optimad Engineering srl, Via Giacinto Collegno 18, 10143 Turin, Italy;Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France
Venue:
Journal of Computational Physics
Year:
2012

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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. Error convergence rates with respect to several exact test cases are investigated and examples of flow solutions in one, two and three dimensions are presented.