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Realization of a second-order Godunov's method

机译:二阶Godunov方法的实现

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A finite volume scheme of second-order accuracy in time and space and high effectiveness to calculate the problems of gas dynamics in Euler approach is presented. When approximating the system of conservative laws on the moving grid, a time splitting, piecewise linear interpolation of the functions, monotonicity algorithm and solution of the Riemann problem are used. Some dispersive properties of the scheme are considered. Results of the tests on solving the Cauchy problem for the linear advection equation and initial-boundary value problems of l-D and 2-D flows, including the calculation on the adaptive grids, are shown.
机译:提出了一种时空二阶精度的有限体积方案,并在欧拉方法中有效地计算了气体动力学问题。在逼近运动网格上的保守律系统时,使用了时间分割,函数的分段线性插值,单调算法和黎曼问题的解。考虑该方案的一些分散特性。给出了解决线性对流方程的柯西问题和一维和二维流的初边值问题的测试结果,包括在自适应网格上的计算。

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