A NOVEL MULTIGRID METHOD FOR SN DISCRETIZATIONS OF THE MONO-ENERGETIC BOLTZMANN TRANSPORT EQUATION IN THE OPTICALLY THICK AND THIN REGIMES WITH ANISOTROPIC SCATTERING, PART I

摘要: This paper presents a new multigrid method applied to the most common Sn discretizations (Petrov–Galerkin, diamond-differenced, corner-balanced, and discontinuous Galerkin) of mono-energetic Boltzmann transport equation in optically thick thin regimes, with strong anisotropic scattering. Unlike methods that use scalar DSA diffusion preconditioners for source iteration, this is directly an integral flux. Thus, unlike former apply strategy operator, applies iteration which operator 5 independent variables spatial three dimensions (3-d), 3 space 2 angle, 4 2-d (2 angle). The core smoother involves applications operator. Since kernel sweeps, applyin...