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A simple second order cartesian scheme for compressible Euler flows
Yannick Gorsse 1, 2, Angelo Iollo 1, 2, Haysam Telib 3, Lisl Weynans 1, 2
(2012-03-01)

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.
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
Mathematics/Numerical Analysis
immersed boundary – compressible – cartesian – second order scheme
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