We propose a novel turbulence refinement method based on the Rankine vortex model for smoothed particle hydrodynamics (SPH) simulations. Surface details are enhanced by recovering the energy lost due to the lack of the rotation of SPH particles. The Rankine vortex model is used to convert the diffused and stretched angular kinetic energy of particles to the linear kinetic energy of their neighbors. In previous vorticity-based refinement methods, adding more energy than required by the viscous damping effect leads to instability. In contrast, our model naturally prevents the positive feedback effect between the velocity and vorticity fields since the vortex model is designed to alter the velocity without introducing external sources. Experimental results show that our method can recover missing high-frequency details realistically and maintain convergence in both static and highly dynamic scenarios.

中文翻译：

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使用 Rankine 涡流模型对基于粒子的流体进行稳健的湍流模拟

我们提出了一种基于 Rankine 涡模型的新型湍流细化方法，用于平滑粒子流体动力学 (SPH) 模拟。通过恢复由于缺乏 SPH 粒子旋转而损失的能量来增强表面细节。Rankine 涡模型用于将粒子的扩散和拉伸角动能转换为其相邻粒子的线性动能。在以前的基于涡度的细化方法中，添加比粘性阻尼效应所需的更多的能量会导致不稳定。相比之下，我们的模型自然地防止了速度场和涡量场之间的正反馈效应，因为涡旋模型旨在在不引入外部源的情况下改变速度。