A Parallel Implementation of Solving Radiative Transfer Equation using Discontinuous Galerkin Method

The discontinuous Galerkin (DG) finite element method (FEM) is used to solve the radiative transfer equation (RTE) for two-dimensional problems involving absorption, emission, and scattering with the semitransparent medium. The DG approach discretizes both spatial and angular directions. A series of sub-domains implemented by angular decomposition and domain decomposition algorithms are solved by the RTE in parallel. A semitransparent medium with a two-dimensional problem is conducted to study the performance of the method.