ABSTRACT

A low-dissipation numerical method based on a combination of Godunov’s method and a piecewise parabolic method on a local stencil is presented. The construction of the method is described in detail. The method is tested using a one-dimensional problem of breakdown of a discontinuity. The results of a numerical simulation of collision of two relativistic gas spheres are given.

中文翻译：

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基于局部抛物线的分段抛物线法的低耗散数值方案，用于相对论流体动力流的数学建模

摘要

提出了一种基于戈杜诺夫方法和分段抛物线方法结合的局部模板低耗散数值方法。详细描述该方法的构造。使用不连续性分解的一维问题测试该方法。给出了两个相对论气体球体碰撞的数值模拟结果。