BARANGER, Céline; CLAUDEL, Jean; HÉROUARD, Nicolas; MIEUSSENS, Luc

doi:10.1016/j.jcp.2013.10.014

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BARANGER, Céline
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]

CLAUDEL, Jean
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]

HÉROUARD, Nicolas
Institut de Mathématiques de Bordeaux [IMB]

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Journal of Computational Physics. 2014, vol. 257, n° 15, p. 572-593

Elsevier

Résumé en anglais

Most of deterministic solvers for rarefied gas dynamics use discrete velocity (or discrete ordinate) approximations of the distribution function on a Cartesian grid. This grid must be sufficiently large and fine to describe the distribution functions at every space position in the computational domain. For 3-dimensional hypersonic flows, like in re-entry problems, this induces much too dense velocity grids that cannot be practically used, for memory storage requirements. In this article, we present an approach to generate automatically a locally refined velocity grid adapted to a given simulation. This grid contains much less points than a standard Cartesian grid and allows us to make realistic 3-dimensional simulations at a reduced cost, with a comparable accuracy.< Réduire

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rarefied flow simulation

hypersonic flows

re-entry problem

transition regime

BGK model

discrete velocity model

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Locally refined discrete velocity grids for stationary rarefied flow simulations

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