Commun. Comput. Phys., 15 (2014), pp. 330-364.


A Multi-Material CCALE-MOF Approach in Cylindrical Geometry

Marie Billaud Friess 1, Jerome Breil 2*, Pierre-Henri Maire 3, Mikhail Shashkov 4

1 LUNAM Universite, GeM, UMR CNRS 6183, Ecole Centrale Nantes, Universite de Nantes, 1 rue de la Noe, BP 92101, 44321 Nantes Cedex 3, France.
2 Univ. Bordeaux, CEA, CNRS, CELIA, UMR5107, F-33400 Talence, France.
3 CEA CESTA, 15 Avenue des Sablieres, CS 60001, 33116 Le Barp Cedex, France.
4 Los Alamos National Laboratory, XCP-4, Los Alamos, NM 87545, USA.

Received 11 January 2013; Accepted (in revised version) 1 August 2013
Available online 10 September 2013
doi:10.4208/cicp.190912.080513a

Abstract

In this paper we present recent developments concerning a Cell-Centered Arbitrary Lagrangian Eulerian (CCALE) strategy using the Moment Of Fluid (MOF) interface reconstruction for the numerical simulation of multi-material compressible fluid flows on unstructured grids in cylindrical geometries. Especially, our attention is focused here on the following points. First, we propose a new formulation of the scheme used during the Lagrangian phase in the particular case of axisymmetric geometries. Then, the MOF method is considered for multi-interface reconstruction in cylindrical geometry. Subsequently, a method devoted to the rezoning of polar meshes is detailed. Finally, a generalization of the hybrid remapping to cylindrical geometries is presented. These explorations are validated by mean of several test cases using unstructured grid that clearly illustrate the robustness and accuracy of the new method.

AMS subject classifications: 76M10, 76N15, 65K10

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Key words: Cell-centered scheme, Lagrangian hydrodynamics, ALE, MOF interface reconstruction, Rezoning algorithm, polar meshes, hybrid remapping, axisymmetric geometries.

*Corresponding author.
Email: breil@celia.u-bordeaux1.fr (J. Breil)
 

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