| HAL: hal-00701277, version 1 |
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| A simple second order cartesian scheme for compressible Euler flows |
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| Yannick Gorsse 1, 2Angelo Iollo 1, 2 |
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| (2012-03-01) |
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| 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. |
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| 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 | |
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| Subject | : | Mathematics/Numerical Analysis |
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| immersed boundary – compressible – cartesian – second order scheme |
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| Attached file list to this document: | |||||
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| hal-00701277, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00701277 | |
| oai:hal.archives-ouvertes.fr:hal-00701277 | |
| From: Yannick Gorsse | |
| Submitted on: Friday, 25 May 2012 08:30:29 | |
| Updated on: Friday, 25 May 2012 08:37:00 | |