This paper is devoted to the development and quantitative evaluation of the properties of the numerical algorithm of the Cartesian grid method for three-dimensional (3D) simulation of shock-wave propagation in areas of varying shape. The detailed description of the algorithm is presented. The algorithm is relatively simple to implement and does not require solving the problem of determination of the shape of the body’s boundary intersection with regular computational cell. The accuracy of the algorithm is demonstrated by comparing the simulated and experimental data in the problems of the interaction of a shock wave (SW) with a nonmoving sphere and a moving particle.

中文翻译：

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三维笛卡尔网格法模拟具有不同边界域中的冲击波的流动

本文致力于开发和定量评估笛卡尔网格方法的数值算法的特性，用于对不同形状区域中的冲击波传播进行三维 (3D) 模拟。给出了算法的详细描述。该算法实现起来比较简单，不需要用常规计算单元来解决确定身体边界相交形状的问题。通过比较冲击波（SW）与非运动球体和运动粒子相互作用问题中的模拟数据和实验数据，证明了该算法的准确性。