The present work introduces a simple, yet effective particle coalescing procedure for two-dimensional SPH simulations with adaptive spatial resolution. In addition to the regular conservation properties of former algorithms concerning the mass and linear momentum, the current model provides the exact conservation of the angular momentum as well. The detailed discussion of the coalescing method is followed by its verification through a frozen Taylor-Green vortex example with gradually derefined particle configuration. As a demonstration of the applicability of the proposed technique, a typical weakly compressible dam-break simulation with adaptive resolution is presented and comparisons are made for uniformly coarse and refined resolutions.

中文翻译：

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SPH 模拟中具有角动量守恒的粒子聚结

目前的工作介绍了一种简单而有效的粒子合并程序，用于具有自适应空间分辨率的二维 SPH 模拟。除了先前算法关于质量和线性动量的规则守恒特性之外，当前模型还提供了角动量的精确守恒。聚结方法的详细讨论之后是通过冻结的泰勒格林涡流示例进行验证，该示例具有逐渐取消细化的粒子配置。为了证明所提出的技术的适用性，提出了一个典型的具有自适应分辨率的弱可压缩溃坝模拟，并对均匀的粗分辨率和精细分辨率进行了比较。