中文摘要：

在ICF数值仿真计算中，二维三温辐射热传导方程描述了内爆动力学过程中辐射能量在静止介质中的非线性传播过程。在求解二维三温辐射热传导方程的过程中，设计了一种新的保时称有限体元方法，并从理论上证明了该方法所得离散系统的对称性。新方法在离散化速度和能量守恒误差两个方面都优于经典的有限体元方法（FVEM）和有限元方法（FEM），相关数值试验结果也验证了新方法的这些特点。

英文摘要：

A symmetric finite volume element method（SFVEM） was established for two-dimensional three temperature radiation thermal conduction equations which are used to describe the process of heat conduction in laser-driven inertial confinement fusion （ICF）, and the linear system of the equations with SFVEM was proved to be symmetrical. The new approach can improve the discretezation speed and energy conservation error comparing with standard finite volume element method （FVEM） and finite element method （FEM）. Numerical examples confirm the conclusions,