Task-based parallelization of an implicit kinetic scheme

2017/02/01 by Jayesh Badwaik, Matthieu Boileau, Badwaik, Jayesh +11
Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fuel Cells and Related Materials #Lattice Boltzmann Simulation Studies #Model Reduction and Neural Networks #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1702.00169

openalex publication_date 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in the one-dimensional context. The PDG method is a general implicit high order method for approximating systems of conservation laws. It relies on a kinetic interpretation of the conservation laws containing stiff relaxation terms. The kinetic system is approximated with an asymptotic-preserving high order DG method. We describe the parallel implementation of the method, based on the StarPU runtime library. Then we apply it on preliminary test cases.

Citations

• Palindromic discontinuous Galerkin method for kinetic equations with stiff relaxation

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