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math.NA2020★ 5 cited
Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries
Céline Baranger, Nicolas Hérouard, Julien Mathiaud +1
We present a numerical comparison between two standard finite volume schemes and a discontinuous Galerkin method applied to the BGK equation of rarefied gas dynamics. We pay a part…
math.NA2013★ 72 cited
Locally refined discrete velocity grids for stationary rarefied flow simulations
Céline Baranger, Jean Claudel, Nicolas Hérouard +1
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…