Meshless Local Petrov-Galerkin Method for Solving Radiative Transfer Equation

摘要

An MLPG method based on the discrete-ordinates equation is developed for the simulation of radiative heat transfer in absorbing and scattering media. Three cases of radiative heat transfer in semi-transparent media are examined to verify the accuracy of this new method. The results show that the MLPG approach presented in this Note has good accuracy in solving for the radiative heat transfer in absorbing and scattering media. In comparison with traditional numerical methods for radiative heat transfer, such as the Monte Carlo method, the zonal method, the DOM, the FVM, and the FEM, the MLPG approach avoids complex and time-consuming meshing and remeshing processes and can be used to solve for the radiative heat transfer in anisotropically scattering media.