The high-order finite volume-WENO (Weighted Essentially Non-Oscillatory) scheme combines the finite volume method with the WENO method, allowing for high-order accuracy and accurate simulation of complex physical phenomena. It has advantages in handling shock waves and bubble interactions. The idea of this method is to discretize the physical equations into a set of conservation equations and use the WENO method to calculate the numerical fluxes on each finite volume cell. This approach is effective in dealing with problems such as shock wave propagation, bubble deformation, and evolution. In fluid dynamics simulation and research, the high-order FV-WENO scheme has significant application prospects. It can provide accurate numerical solutions and simulate complex physical phenomena, making it widely applicable in scientific research and engineering. In this study, we simulated the interactions between shock waves and single or double bubbles, obtaining the complete process of bubble collapse with clear bubble interfaces and strong program stability.

中文翻译：

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高阶FV-WENO格式在冲击波与气泡相互作用中的应用

高阶有限体积-WENO（加权本质非振荡）方案将有限体积方法与WENO方法相结合，可以实现高阶精度，准确模拟复杂的物理现象。它在处理冲击波和气泡相互作用方面具有优势。该方法的思想是将物理方程离散化为一组守恒方程，并使用WENO方法计算每个有限体积单元上的数值通量。这种方法可以有效处理冲击波传播、气泡变形和演化等问题。在流体动力学模拟和研究中，高阶FV-WENO格式具有重要的应用前景。它可以提供精确的数值解并模拟复杂的物理现象，使其在科学研究和工程中得到广泛应用。在本研究中，我们模拟了冲击波与单气泡或双气泡之间的相互作用，获得了气泡破裂的完整过程，气泡界面清晰，程序稳定性强。