 |
 |
 |
 |
|
|
|
|
| HAL: hal-00527765, version 2 |
| arXiv: 1010.4208 |
| Detailed view |  Export this paper |
 |
| Available versions: | v1 (2010-10-20) | v2 (2010-10-25) |
|
|
|
|
| A totally Eulerian Finite Volume solver for multi-material fluid flows: Enhanced Natural Interface Positioning (ENIP) |
|
|
| Raphaël Loubère 1Jean-Philippe Braeunig 2, 3 |
|
|
| (2010-10-19) |
|
|
|
| This work concerns the simulation of compressible multi-material fluid flows and follows the method FVCF-NIP described in the former paper Braeunig et al (Eur. J. Mech. B/Fluids, 2009). This Cell-centered Finite Volume method is totally Eulerian since the mesh is not moving and a sharp interface, separating two materials, evolves through the grid. A sliding boundary condition is enforced at the interface and mass, momentum and total energy are conserved. Although this former method performs well on 1D test cases, the interface reconstruction suffers of poor accuracy in conserving shapes for instance in linear advection. This situation leads to spurious instabilities of the interface. The method Enhanced-NIP presented in the present paper cures an inconsistency in the former NIP method that improves strikingly the results. It takes advantage of a more consistent description of the interface in the numerical scheme. Results for linear advection and compressible Euler equations for inviscid fluids are presented to assess the benefits of this new method. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Institut de Mathématiques de Toulouse (IMT) |
|
|
|
Université Paul Sabatier [UPS] - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219 |
|
|
| 2: | DAM Île-de-France (DAM/DIF) |
|
|
|
CEA : DAM/DIF |
|
|
| 3: | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
|
|
|
CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
|
|
| 4: | Centre de Mathématiques et de Leurs Applications (CMLA) |
|
|
|
CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan |
|
|
| 5: | Laboratoire de recheche conventionné MESO (LRC MESO) |
|
|
|
CEA – CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Numerical Analysis |
|
|
| Multi-material fluid flow – Finite Volume – Natural Interface Positioning |
|
|
|
| Attached file list to this document: | ||||||||||
|
||||||||||
|
|
|
| hal-00527765, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00527765 | |
| oai:hal.archives-ouvertes.fr:hal-00527765 | |
| From: Jean-Philippe Braeunig | |
| Submitted on: Thursday, 21 October 2010 09:42:39 | |
| Updated on: Monday, 25 October 2010 09:05:38 | |
