A new numerical method for solving the Boltzmann transport equation using the PN method and the discontinuous finite elements on unstructured and curved meshes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:397

Article

Bourhrara, Lahbib¹ 

[1] Univ Paris Saclay, CEA, DEN Serv Etud Reacteurs & Math Appl SERMA, F-91191 Gif Sur Yvette, France

关键词: Boltzmann transport equation;    PN method;    DG method;    Discontinuous finite element method;    Unstructured and non-conformal meshes;    Curved meshes;   

DOI  :  10.1016/j.jcp.2019.07.001

来源: Elsevier

【 摘 要 】

This document presents a new numerical scheme dealing with the Boltzmann transport equation. This scheme is based on the expansion of the angular flux in a truncated spherical harmonics function and the discontinuous finite element method for the spatial variable. The advantage of this scheme lies in the fact that we can deal with unstructured, non-conformal and curved meshes. Indeed, it is possible to deal with distorted regions whose boundary is constituted by edges that can be either line segments or circular arcs or circles. In this document, we detail the derivation of the method for 2D geometries. However, the generalization to 2D extruded geometries is trivial. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free