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§1.引言 在现代科学技术诸多领域的研究中都要涉及到二维辐射流体力学,特别是要涉及到多介质可压缩二维辐射流体力学.多介质可压缩二维辐射流体的力学运动是很复杂的运动,它的数值模拟具有相当大的难度.目前,求解多介质二维辐射流体力学方程组多采用Lagrange方法.拉氏方法的最大优点是能清楚地描述多介质系统的物质界面,但是同时也存在网格的大变形问题.网格大变形的后果是:计算精度下降,使得计算的结果不能反映流场的真实变化;时间步长变小,所需机时大大增加,甚至使计算无法进行下去.解决二维辐射流体力学计算中的大变形问题是二维流体动力学拉氏方法的主要难点之一,也是当前国内外计算流体力学领域的前沿研究课题.
§1. INTRODUCTION Two-dimensional radiation hydrodynamics is involved in many fields of modern science and technology, especially with respect to multi-media compressible two-dimensional radiation hydrodynamics. The mechanical motion of a multi-media compressible two- Very complex motion, its numerical simulation is quite difficult.At present, the Lagrange method is mostly used to solve the multi-media two-dimensional radiation hydrodynamics equations.The biggest advantage of the Laplace method is that it can clearly describe the material interface of the multi-media system, However, there are also large deformation problems of the grid.As a result of large deformation of the grid, the accuracy of the calculation is reduced so that the calculated results can not reflect the real changes of the flow field, the time steps become smaller, the required machine time greatly increases, Calculation can not be carried out.It is one of the main difficulties to solve the large deformation problem in two-dimensional radiation hydrodynamics calculation, which is also a frontier research topic in computational fluid dynamics field at home and abroad.