2020/10/09 by Danny Lathouwers, Lathouwers, Danny, Zoltán Perkó +1
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Nuclear reactor physics and engineering #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2010.04559
openalex publication_date 2020/10/09 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
In a previous paper (Lathouwers and Perk 'o, 2019) we have developed an\nefficient angular multigrid preconditioner for the Boltzmann transport equation\nwith forward-peaked scatter modeled by the Fokker-Planck approximation. The\ndiscretization was based on a completely discontinuous Galerkin finite element\nscheme both for space and angle. The scheme was found to be highly effective on\nisotropically and anisotropically refined angular meshes. The purpose of this\npaper is to extend the method to non-Fokker-Planck models describing the\nforward scatter by general Legendre expansions. As smoother the standard source\niteration is used whereas solution on the coarsest angular mesh is effected by\na special sweep procedure that is able to solve this problem with highly\nanisotropic scatter using only a small number of iterations. An efficient\nscheme is obtained by lowering the scatter order in the multigrid\npreconditioner. A set of test problems is presented to illustrate the\neffectivity of the method, i.e. in less iterations than the single-mesh case\nand more importantly with reduced computational effort.\n