Abstract—

The problem of the interaction of a shock wave with an increased-density gas bubble in the neighborhood of the wall is investigated on the basis of numerical simulation of Euler’s equations in the two-dimensional plane formulation. The process of shock wave refraction and focusing, namely, reflection of transverse shocks from the plane of symmetry of flow and the wall, is described. It is found that qualitatively different flow regimes, in which the wave is focused in the plane of symmetry before or after the beginning of wave reflection from the wall, can be implemented depending on the constitutive parameters of the problem. It is shown that the presence of a heavy bubble in the neighborhood of the wall strengthens multiply the pulse shock-wave loading on the wall. The maximum pressure reached on the wall is found as a function of the impinging wave Mach number, the bubble gas density, and the initial distance between the bubble and the wall. In some cases such a dependence is essentially nonmonotonic with respect to the bubble gas density and the distance between bubble and wall.

中文翻译：

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冲击波与墙附近密度增加的气泡的相互作用

摘要-

基于二维平面公式中欧拉方程的数值模拟，研究了冲击波与壁附近高密度气泡相互作用的问题。描述了冲击波折射和聚焦的过程，即从流动和壁的对称平面反射横向冲击的过程。已经发现，根据问题的本构参数，可以实现质上不同的流动方式，在这种流动方式中，波聚焦在从壁反射波开始之前或之后的对称平面中。结果表明，在壁附近存在大气泡会增强脉冲冲击波在壁上的载荷。发现在壁上达到的最大压力是冲击波马赫数，气泡气体密度以及气泡与壁之间的初始距离的函数。在某些情况下，关于气泡气体密度和气泡与壁之间的距离，这种依赖性基本上是非单调的。