In the present study, a numerical method is presented to investigate the dynamics of a sphere bubble collapsing near an elastic plate. Taking the fluid compressibility into account, the pressure and the fluid velocity are calculated by the reformulated continuity equation and momentum equation of multiphase flow. The interface between water and air is tracked by the volume-of-fluid (VOF) method, and the immersed boundary method (IB) is also introduced to simulate the interaction between elastic plate and bubble collapse. The validation of this numerical method of effectiveness and accuracy has been conducted by the comparison between simulation results and the experiment where a spark-generated bubble collapsed above an elastic plate in a water tank. To capture the process of the bubble collapse, a high-speed camera is introduced to record the temporal evolution of the bubble in the experiment. During the collapse stage, the simulated evolutions of the bubble shape from the present numerical method agree well with the experimental observations. Furthermore, the effect of the elastic modulus of the plate on bubble dynamics is numerically investigated. In the present study, three elastic moduli are adopted which are $33.1\mathrm{GPa}$, $66.2\mathrm{GPa}$ and $331\mathrm{GPa}$ respectively. Numerical results on the temporal evolution of bubble patterns, flow structures and the deformation of the elastic plate are analyzed in details. These results show that the plate with a higher elastic modulus has a faster response to the bubble collapse. The novelty of the present numerical method is combining the fluid compressibility, VOF and IB methods together to numerically investigate the interaction between the bubble and the elastic plate with the high elastic modulus during the collapse stage.

在本研究中，提出了一种数值方法来研究弹性板附近球体气泡坍塌的动力学。考虑到流体的压缩性，压力和流体速度由重新表述的多相流连续性方程和动量方程计算。通过流体体积（VOF）方法跟踪水和空气之间的界面，并引入浸入边界方法（IB）来模拟弹性板与气泡坍塌之间的相互作用。通过将模拟结果与火花产生的气泡在水箱中的弹性板上方坍塌的实验进行比较，对这种数值方法的有效性和准确性进行了验证。为了捕捉泡沫破裂的过程，实验中引入高速摄像机记录气泡的时间演化。在坍塌阶段，现有数值方法模拟的气泡形状演变与实验观察结果非常吻合。此外，数值研究了板的弹性模量对气泡动力学的影响。在本研究中，采用了三个弹性模量，分别是$33.1\mathrm{GPa}$, $66.2\mathrm{GPa}$ 和 $331\mathrm{GPa}$分别。详细分析了气泡模式、流动结构和弹性板变形的时间演变的数值结果。这些结果表明，具有较高弹性模量的板对气泡破裂的响应速度较快。本数值方法的新颖之处在于将流体压缩率、VOF 和 IB 方法结合起来，数值研究气泡与高弹性模量弹性板在坍塌阶段的相互作用。