Abstract In this study, an accurate shock- and interface-capturing method using curvilinear body-fitted structured grids is introduced to simulate compressible multiphase flows with shockwaves. A five-equation model—proficient in capturing unsteady shocks in compressible multiphase flows without nonphysical spurious oscillations—was enhanced by extending it to a multidimensional general curvilinear coordinate system. A new eigensystem was constructed for a monotonic upstream-centered scheme for conservation laws/Godunov-type finite volume scheme that can capture strong shocks in compressible multiphase flows. The developed method was validated using a typical test involving a free-field underwater explosion that produces a strong shockwave in addition to bubble interfaces. Numerical results were compared and found to agree well with the empirical equation and previously published results. Further, the interaction of a shockwave with a wedge was computed to evaluate the shockwave propagation characteristics and appropriate treatment of solid wall boundary conditions. The numerical results show good agreement with the experimental data. Finally, the impact and propagation characteristics of shockwaves in two more complex cases, involving one and two explosions near a rigid cylinder, were numerically analyzed, and the results indicate high impacts of primary blast waves on the structure.

中文翻译：

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可压缩两相流的数值模拟及其在近场水下爆炸中的应用

摘要 在这项研究中，引入了一种使用曲线体拟合结构网格的精确冲击和界面捕获方法来模拟具有冲击波的可压缩多相流。五方程模型——精通捕捉可压缩多相流中没有非物理虚假振荡的非定常冲击——通过将其扩展到多维一般曲线坐标系得到了增强。为守恒定律/Godunov 型有限体积方案的单调上游中心方案构建了一个新的特征系统，该方案可以捕获可压缩多相流中的强冲击。所开发的方法使用典型测试进行验证，该测试涉及自由场水下爆炸，除了气泡界面外，还会产生强烈的冲击波。数值结果进行了比较，发现与经验方程和先前公布的结果非常吻合。此外，还计算了冲击波与楔子的相互作用，以评估冲击波传播特性和固体壁边界条件的适当处理。数值结果与实验数据吻合良好。最后，数值分析了两种更复杂情况下冲击波的冲击和传播特性，包括刚性圆柱附近的一次和两次爆炸，结果表明一次冲击波对结构的影响很大。数值结果与实验数据吻合良好。最后，对两个更复杂的情况下冲击波的冲击和传播特性进行了数值分析，这些情况涉及刚性圆柱附近的一次和两次爆炸，结果表明一次冲击波对结构的影响很大。数值结果与实验数据吻合良好。最后，对两个更复杂的情况下冲击波的冲击和传播特性进行了数值分析，这些情况涉及刚性圆柱附近的一次和两次爆炸，结果表明一次冲击波对结构的影响很大。