Palindromic Discontinuous Galerkin Method
We present a high-order scheme for approximating kinetic equations with stiff relaxation. The construction is based on a high-order, implicit, upwind Discontinuous Galerkin formulation of the transport equations. In practice, because of the triangular structure of the implicit system, the computations are explicit. High order in time is achieved thanks to a palindromic composition method. The whole method is asymptotic-preserving with respect to the stiff relaxation and remains stable even with large CFL numbers.
KeywordsLattice boltzmann Discontinuous galerkin Implicit Composition method High order Stiff relaxation.
MSC (2010):65L04 65M99
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