The application for reproducing kernel particle method in radiative transfer meshless calculation

Reproducing Kernel Particle Method(RKPM) based on Smoothed Particle Hydrodynamics(SPH) is Lagrange type method, but although this method has obtained widespread application in the fields of treatment of complex flow, heat conduction, phase change, stress and strain physical coupling problem, the applicability in radiative transfer has not yet been studied. And in addition to the physical process described above, the influence of radiative transfer process should also need to been considered in the phase change process of high-temperature translucent material. To establish a coupling meshless simulation method of light, thermal and stress in the high-temperature translucent material, we focus on the study the feasibility of RKPM simulated radiative transfer problems. In this paper, we set up the radiation intensity of BKPM fitting formula firstly, and establish the collocation point discrete format for radiative transfer equation next, then calculate dimensionless heat flux and dimensionless temperature distribution of one-dimensional participatory medium. To compare with the literature, we verify that BKPM could simulate radiative transfer equation and has good calculation accuracy.