Publication Date:
2019
Description:
〈p〉Publication date: Available online 8 July 2019〈/p〉
〈p〉〈b〉Source:〈/b〉 Journal of Computational Physics〈/p〉
〈p〉Author(s): Lahbib Bourhrara〈/p〉
〈h5〉Abstract〈/h5〉
〈div〉〈p〉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.〈/p〉〈/div〉
Print ISSN:
0021-9991
Electronic ISSN:
1090-2716
Topics:
Computer Science
,
Physics
