This study presents a novel volume compensation model for multi-resolution moving particle method simulating free surface flows. The volume-compensation model is developed to conserve volume when simulating free surface flow using multi-resolution particles, a topic that has been rarely discussed for multi-resolution simulations in previous literature. The free surface is reconstructed by a linear polynomial, enabling the volume of fluid occupied to be easily calculated. Then particles on the free surface are shifted according to the volume change to conserve volume. In the multi-resolution model, the particle size is capable of adapting in an adaptive manner in accordance with its position. In the refined area, the large particles split into four smaller child particles. Child particles near to the large particles are further merged into middle-size particle to avoid the instability caused by the contact of child particles and parent particles. In order to ensure the accuracy of the calculations, the LSMPS framework is employed. A series of numerical tests were conducted to validate the capability of the developed method using multi-resolution particles.

中文翻译：

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模拟自由表面流的多分辨率移动粒子法的体积补偿模型


本研究提出了一种新的体积补偿模型，用于模拟自由表面流的多分辨率移动粒子方法。开发体积补偿模型是为了在使用多分辨率粒子模拟自由表面流时保持体积，这是在以前的文献中很少讨论多分辨率模拟的话题。自由表面由线性多项式重建，因此可以轻松计算所占用的流体体积。然后，自由表面上的颗粒根据体积变化移动以保持体积。在多分辨率模型中，颗粒大小能够根据其位置以自适应方式进行调整。在细化区域中，大颗粒分裂成四个较小的子颗粒。靠近大颗粒的子颗粒进一步合并成中等大小的颗粒，以避免子颗粒和母颗粒接触造成的不稳定。为了确保计算的准确性，采用了 LSMPS 框架。进行了一系列数值测试，以验证所开发方法使用多分辨率粒子的能力。