中文摘要：

移动网格方法可以有效提高冲击波阵面计算的分辨率,多年来一直受到数值计算研究领域的关注。针对冲击波在凝聚介质中传播的数值模拟,利用变分原理构建了基于移动网格的自适应算法。移动网格的生成依赖包含控制函数的欧拉方程的迭代计算,通过控制方程从物理域到计算域的映射来求解物理量,并研究了不同移动网格迭代方法对计算效率的影响。数值结果显示了该算法的有效性。

英文摘要：

Recently,the moving mesh method has received plenty of attention in the numerical computation areas owing to its capability to improve effectively the calculation precision on the shock waveplane.This paper describes a moving mesh method that simulates the shock wave＇s propagation in condensed matter based on the variation principle.The generation of the moving meshes consists of the iterative computation of the Euler-Lagrange equation and the governing equation＇s mapping from the physical plane to the computational plane.We have studied the effect of computational efficiency using different iterative methods.Finally,the numerical results show the validity of the arithmetic.