Communications in Applied and Industrial MathematicsVolume 7, Issue 3, 1 September 2016, Pages 135-161Open AccessBoundary conditions for semi-Lagrangian methods for the BGK model (Article)Groppi, M.a, Russo, G.b, Stracquadanio, G.a a Dipartimento di Matematica e Informatica, Università degli Studi di Parma, Italy b Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Italy View references (25)AbstractA new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.
Boundary conditions for semi-Lagrangian methods for the BGK model
RUSSO, Giovanni;
2016-01-01
Abstract
Communications in Applied and Industrial MathematicsVolume 7, Issue 3, 1 September 2016, Pages 135-161Open AccessBoundary conditions for semi-Lagrangian methods for the BGK model (Article)Groppi, M.a, Russo, G.b, Stracquadanio, G.a a Dipartimento di Matematica e Informatica, Università degli Studi di Parma, Italy b Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Italy View references (25)AbstractA new class of high-order accuracy numerical methods based on a semi-Lagrangian formulation for the BGK model of the Boltzmann equation has been recently proposed in [1]. In this paper semi-Lagrangian schemes for the BGK equation have been extended to treat boundary conditions, in particular the diffusive ones. Two different techniques are proposed, using or avoiding iterative procedures. Numerical simulations illustrate the accuracy properties of these approaches and the agreement with the results available in literature.| File | Dimensione | Formato | |
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