Numerical Solution of the Problem of the Theory of Point Explosion in Lagrangian Coordinates. Some New Results

Yu. D. Shevelev; V. A. Andrushchenko; I. V. Murashkin

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Numerical Solution of the Problem of the Theory of Point Explosion in Lagrangian Coordinates. Some New Results

机译：拉格朗日坐标系中点爆炸理论问题的数值解。一些新结果

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An unsteady problem of the point explosion theory in Lagrangian coordinates is consid- ered. The process of reorganization of gas flow in the area captured by blast-wave is investigated. Dur- ing a numerical experiment, by variation of nondimensional governing parameters of the problem, the features of such a flow are revealed for the first time. It is discovered that, except for the nodal point singularity in the center of energy release, determined by the initial conditions of the problem (L.I. Sedov’s self-similar solution), extra singular focus, saddle, and node points are formed in the dis- turbed flow area over time.

机译：考虑了拉格朗日坐标中的点爆炸理论的一个不稳定问题。研究了爆炸波捕获区域内气流的重组过程。在数值试验期间，通过改变问题的无量纲控制参数，首次揭示了这种流动的特征。发现，除了能量释放中心的节点奇异点（由问题的初始条件决定）（李塞多夫的自相似解）外，在异位点上还形成了额外的奇异焦点，鞍点和结点。随着时间的流逝，湍流面积增大。

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《Mathematical models and computer simulations》 |2012年第2期|共9页
作者
Yu. D. Shevelev; V. A. Andrushchenko; I. V. Murashkin;
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正文语种 eng
中图分类数学;
关键词
point explosion; shock waves; gas dynamics equations; Lagrangian coordinates; critical points;

机译：点爆炸冲击波气体动力学方程拉格朗日坐标临界点;

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1. Numerical Solution of the Problem of the Theory of Point Explosion in Lagrangian Coordinates. Some New Results [J] . Yu. D. Shevelev, V. A. Andrushchenko, I. V. Murashkin Mathematical models and computer simulations . 2012,第2期

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Numerical Solution of the Problem of the Theory of Point Explosion in Lagrangian Coordinates. Some New Results

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