摘要
介绍一种处理介质热辐射问题的纯边界元算法。该方法在漫射表面以及不考虑介质散射的条件下,只需要在边界划分单元就可求解介质辐射换热问题。利用立体角与微元表面的转换关系,可将沿立体角的积分转化到边界上,形成边界积分方程。在非等温介质问题中,边界积分内部还含有线积分,采用径向积分法计算此线积分。二维和三维算例证明,边界元法是计算辐射换热问题的一种有效数值方法。
A boundary element method which can be used to solve heat radiation transfer problems without internal cells in the assumptions of diffusive surfaces and no scattering mediums is described.The relationship between the infinitesimal solid angle and the infinitesimal surface can be used to convert the integrals over the solid angle into integrals over the surface bounding the medium,and boundary integral equations can be obtained.For the nonisothermal gray medium,line integrals exist in the boundary integrals,which can be evaluated using radial basis functions.2D and 3D numerical examples are given to demonstrate a boundary element method is very effective to compute radiation transfer problem.
出处
《导弹与航天运载技术》
北大核心
2011年第1期46-53,共8页
Missiles and Space Vehicles
关键词
热辐射
参与性介质
漫射表面
边界元法
Heat radiation
Participating medium
Diffusive surface
Boundary element method
