Implicit Incompressible SPH
Implicit Incompressible SPH
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DOI：
10.1109/tvcg.2013.105
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发表时间：
2014-03-01
影响因子：
5.2
通讯作者：
Teschner, Matthias
中科院分区：
文献类型：
--
作者：
Ihmsen, Markus;Cornelis, Jens;Teschner, Matthias
提出了一种新的光滑粒子流体动力学（SPH）投影方法。我们联合收割机一个对称的SPH压力和SPH离散的连续性方程，以获得一个离散形式的压力泊松方程（PPE）。与以前的投影方案相比，我们的系统确实考虑了压力的实际计算。这种结合提高了求解器的收敛速度。此外，我们建议根据速度而不是位置来计算密度偏差，因为这种提法提高了时间积分方案的鲁棒性。我们表明，我们的新配方优于以前的投影方案和国家的最先进的SPH方法。在典型场景中，可以处理大的时间步长和低至0.01%的小密度偏差。该方法的实际意义是由高达4000万SPH粒子的场景说明。
We propose a novel formulation of the projection method for Smoothed Particle Hydrodynamics (SPH). We combine a symmetric SPH pressure force and an SPH discretization of the continuity equation to obtain a discretized form of the pressure Poisson equation (PPE). In contrast to previous projection schemes, our system does consider the actual computation of the pressure force. This incorporation improves the convergence rate of the solver. Furthermore, we propose to compute the density deviation based on velocities instead of positions as this formulation improves the robustness of the time-integration scheme. We show that our novel formulation outperforms previous projection schemes and state-of-the-art SPH methods. Large time steps and small density deviations of down to 0.01 percent can be handled in typical scenarios. The practical relevance of the approach is illustrated by scenarios with up to 40 million SPH particles.