无网格再生核粒子求解辐射传输问题

Reproducing Kernel Particle Method is employed to solve radiative transfer problem, which was developed from meshless Smoothed Particle Hydrodynamics Method, and the meshless discrete particle format is set up for radiation intensity filed, so the relationship of radiation intensity between the discrete particle and the around particle was connected for radiation. Then the Least-Squares Collocation method is employed to construct the Least-Squares Collocation format for radiation transfer problem, and the Reproducing Kernel Particle Least Squares Collocation method was developed. The method was used to simulate the radiation transfer problem of absorbing and scattering media. The result shows that the meshless method solution has good agreements with other mesh methods (MCM, RTNAN, FVM), which verifies its feasibility to solve radiative transfer problem. At last, the rule of numerical simulation results by this method is analyzed, which changes with the increase of reproducing kernel function scope scale factor and discrete particles, and it's recommended that the value of reproducing kernel function scope scale factor should be between 1.00~1.10 and the number of discrete particles should be larger than 81 when solving radiative transfer problem with this method.