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Turbulent Details Simulation for SPH Fluids via Vorticity Refinement
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2020-10-07 , DOI: 10.1111/cgf.14095 Sinuo Liu 1 , Xiaokun Wang 2 , Xiaojuan Ban 2 , Yanrui Xu 2 , Jing Zhou 1 , Jiří Kosinka 3 , Alexandru C. Telea 4
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2020-10-07 , DOI: 10.1111/cgf.14095 Sinuo Liu 1 , Xiaokun Wang 2 , Xiaojuan Ban 2 , Yanrui Xu 2 , Jing Zhou 1 , Jiří Kosinka 3 , Alexandru C. Telea 4
Affiliation
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A major issue in Smoothed Particle Hydrodynamics (SPH) approaches is the numerical dissipation during the projection process, especially under coarse discretizations. High-frequency details, such as turbulence and vortices, are smoothed out, leading to unrealistic results. To address this issue, we introduce a Vorticity Refinement (VR) solver for SPH fluids with negligible computational overhead. In this method, the numerical dissipation of the vorticity field is recovered by the difference between the theoretical and the actual vorticity, so as to enhance turbulence details. Instead of solving the Biot-Savart integrals, a stream function, which is easier and more efficient to solve, is used to relate the vorticity field to the velocity field. We obtain turbulence effects of different intensity levels by changing an adjustable parameter. Since the vorticity field is enhanced according to the curl field, our method can not only amplify existing vortices, but also capture additional turbulence. Our VR solver is straightforward to implement and can be easily integrated into existing SPH methods.
中文翻译：
通过涡度细化对 SPH 流体进行湍流细节模拟
平滑粒子流体动力学 (SPH) 方法的一个主要问题是投影过程中的数值耗散，尤其是在粗离散化下。高频细节，如湍流和涡流，会被平滑，导致不切实际的结果。为了解决这个问题，我们为 SPH 流体引入了一个涡度细化 (VR) 求解器，其计算开销可以忽略不计。该方法通过理论涡量与实际涡量的差异来恢复涡量场的数值耗散，从而增强湍流细节。不是求解 Biot-Savart 积分，而是使用更容易和更有效求解的流函数将涡量场与速度场相关联。我们通过改变一个可调参数来获得不同强度水平的湍流效果。由于涡度场根据旋度场增强，我们的方法不仅可以放大现有的涡流，还可以捕获额外的湍流。我们的 VR 求解器易于实现，并且可以轻松集成到现有的 SPH 方法中。
更新日期：2020-10-07
中文翻译：
通过涡度细化对 SPH 流体进行湍流细节模拟
平滑粒子流体动力学 (SPH) 方法的一个主要问题是投影过程中的数值耗散，尤其是在粗离散化下。高频细节，如湍流和涡流，会被平滑，导致不切实际的结果。为了解决这个问题，我们为 SPH 流体引入了一个涡度细化 (VR) 求解器，其计算开销可以忽略不计。该方法通过理论涡量与实际涡量的差异来恢复涡量场的数值耗散，从而增强湍流细节。不是求解 Biot-Savart 积分，而是使用更容易和更有效求解的流函数将涡量场与速度场相关联。我们通过改变一个可调参数来获得不同强度水平的湍流效果。由于涡度场根据旋度场增强，我们的方法不仅可以放大现有的涡流，还可以捕获额外的湍流。我们的 VR 求解器易于实现，并且可以轻松集成到现有的 SPH 方法中。
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