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基于光滑粒子动力学(SPH)方法发展起来的再生核粒子法(RKPM)是一种拉格朗日型无网格方法.该方法在处理复杂形体内流动、导热、相变、应力应变等多物理场耦合问题时获得了较广泛的应用,但在辐射传输中的适用性尚无研究.而高温半透明材料的相变过程,除以上多物理过程外还需要考虑辐射传输过程的影响.本文基于建立高温半透明颗粒相变过程光热力耦合过程统一的无网格模拟方法的目的,重点研究了RKPM模拟辐射传输的可行性问题.文中首先建立了辐射强度的RKPM拟合公式,然后建立了辐射传输方程的直接配点离散格式.计算了一维参与性灰介质的无量纲热流和无因次温度分布.通过和文献值对比,初步验证了RKPM能够模拟辐射传输方程,且具有较好的计算精度.“,”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.