BRULL, Stéphane; MIEUSSENS, Luc

doi:10.1016/j.jcp.2014.01.050

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BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

MIEUSSENS, Luc
Institut de Mathématiques de Bordeaux [IMB]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Ce document a été publié dans

Journal of Computational Physics. 2014, vol. 266, p. 22-46

Elsevier

Résumé en anglais

Most of numerical methods for deterministic simulations of rarefied gas flows use the discrete velocity (or discrete ordinate) approximation. In this approach, the kinetic equation is approximated with a global velocity grid. The grid must be large and fine enough to capture all the distribution functions, which is very expensive for high speed flows (like in hypersonic aerodynamics). In this article, we propose to use instead different velocity grids that are local in time and space: these grids dynamically adapt to the width of the distribution functions. The advantages and drawbacks of the method are illustrated in several 1D test cases.< Réduire

Mots clés en anglais

kinetic equations

discrete velocity model

deterministic method

rarefied gas dynamics

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Local discrete velocity grids for deterministic rarefied flow simulations

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Résumé en anglais

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