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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i3.60
16 pages

A Non Split Projection Strategy for Low Mach Number Flows

P.P. Pebay
Sandia National Laboratories P.O. Box 969, M.S. 9051, Livermore, CA 94451
Habib N. Najm
Sandia National Laboratories P.O. Box 969, MS 9051, Livermore, CA 94551, USA
J. G. Pousin
National Institute for Applied Sciences, MAPLY U.M.R. CNRS 5585, Leonard de Vinci, 69621 Villeurbanne cedex, France

RÉSUMÉ

In the context of the direct numerical simulation of low Mach number reacting flows, the aim of this article is to propose a new approach based on the integration of the original differential-algebraic equation (DAE) system of governing equations, without further differentiation. In order to do so while preserving a possibility of easy parallelization, it is proposed to use a one-step index 2 DAE time integrator, the Half Explicit Method (HEM). In this context, we recall why the low Mach number approximation belongs to the class of index 2 DAEs and discuss why the pressure can be associated with the constraint. We then focus on a fourth-order HEM scheme and provide a formulation that makes its implementation more convenient. Practical details about the consistency of initial conditions are discussed prior to focusing on the implicit solve involved in the method. The method is then evaluated using the Modified Kaps Problem, since it has some of the features of the low Mach number approximation. Numerical results are presented, confirming the validity of the strategy. A brief summary of ongoing efforts is finally provided.


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