基于界面捕捉的三维多介质辐射流体力学方程MMALE计算方法

MMALE Method Based on Interface Capture for Three-Dimensional Multi-Material Radiation Hydrodynamics Equation

针对界面重构产生的混合介质网格,建立基于能量守恒的子网格封闭模型,给出基于混合介质网格上的三维扩散方程求解方法.在此基础上,结合界面重构和流体力学方程MMALE（multi-material arbitrary Lagrangian-Eulerian）算法,给出一种针对三维辐射流体力学的MMALE计算方法.采用解析解算例,验证算法的正确性和精度.通过对典型辐射驱动问题的模拟,展示方法的健壮性.

Mixed cells are introduced in multi-material arbitrary Lagrangian-Eulerian（MMALE） method to capture material interfaces. An energy-preserving closure model on mixed cells for diffusion equation is proposed. Based on closure model,a method for coupling multiple material radiation diffusion simulation and hydrodynamics MMALE simulation is proposed. Numerical experiment with analytical solution shows accuracy of the method for diffusion equation. Results of Sedov and spherical implosion problems show that the method is effective and robust. Comparisons with traditional Lagrangian method prove advantages of the method.