求解二维三温辐射热传导方程组的一种网格自适应方法

A Mesh Adaptive Method for Two-Dimensional Three-Tempeature Heat Conduction Equations

在求解二维三温辐射热传导方程组的过程中,设计了一类新的基于Hessian矩阵的网格自适应算法.数值实验结果表明,与现在流行的基于一阶导数或通量的网格自适应技术相比,该算法能够大幅改善系统的能量守恒误差,并具有较高的整体计算效率.

A mesh adaptation approach based on Hessian matrix is proposed to solve two-dimensional heat eonduetione equations with coupled electron, iron and photon temperatures. Three kinds of adaptive mesh and two adaptation methods based on gradient and flux of the photon finite element solution are used. It is shown that the energy conservation error and computation efficiency of the approach are improved.