Abstract

The problem of a supersonic flow around a system of bodies freely moving in a gas flow is considered. The mathematical model consists of Euler’s equations for a region filled with gas, supplemented by Newton’s equations for describing the motion of rigid bodies under the influence of pressure. The computational algorithm uses locally adaptive Cartesian grids, in which the adaptation is based on wavelet analysis. The interaction of gas and solids is modeled using the free boundary method. The capabilities of the software-implemented code are demonstrated on the problem of the rise of a dust grain under the action of a shock wave and on the simulation of the motion of a system of bodies in a two-dimensional supersonic flow of an inviscid gas. Quantitative and qualitative results are obtained on the velocity of a dust grain and on the evolution of the initial configurations of bodies, which refine the known results.

中文翻译：

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自由体系统周围超音速流动的数值模拟

摘要

考虑在气流中自由移动的物体系统周围的超音速流动问题。数学模型由对充满气体的区域的欧拉方程组成，辅以描述刚体在压力影响下的运动的牛顿方程。计算算法使用局部自适应笛卡尔网格，其中自适应基于小波分析。气体和固体的相互作用使用自由边界方法建模。软件实现代码的功能在冲击波作用下的尘埃颗粒上升问题和无粘性气体二维超音速流动中物体系统运动的模拟上得到了证明.