Realtime Two‐Way Coupling of Meshless Fluids and Nonlinear FEM
Realtime Two‐Way Coupling of Meshless Fluids and Nonlinear FEM
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DOI：
10.1111/j.1467-8659.2012.03196.x
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发表时间：
2012-09
影响因子：
2.5
通讯作者：
Lipeng Yang;Shuai Li;A. Hao;Hong Qin
中科院分区：
文献类型：
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作者：
Lipeng Yang;Shuai Li;A. Hao;Hong Qin
本文提出了一种新的方法，耦合光滑粒子流体动力学（SPH）和非线性有限元法来实现流体和可变形固体相互作用的真实的实时动画。为了精确地模拟耦合，我们在可变形固体的边界上生成代理粒子以促进与流体粒子的相互作用，并开发了一种有效的方法来将代理粒子的耦合力分配到FEM节点。具体来说，我们采用全拉格朗日显式动力学（TLED）有限元算法的非线性有限元，因为它的许多有吸引力的属性，如支持大量的并行性，避免动态更新的刚度矩阵计算，和高效的求解器。基于速度和位置的预估-校正格式，即使对于薄壳固体，也可以实现不同的法向和切向条件。我们的耦合方法完全在使用CUDA的现代GPU上实现。我们通过各种虚拟场景展示了我们的双向耦合方法在计算机动画中的优势。
In this paper, we present a novel method to couple Smoothed Particle Hydrodynamics (SPH) and nonlinear FEM to animate the interaction of fluids and deformable solids in real time. To accurately model the coupling, we generate proxy particles over the boundary of deformable solids to facilitate the interaction with fluid particles, and develop an efficient method to distribute the coupling forces of proxy particles to FEM nodal points. Specifically, we employ the Total Lagrangian Explicit Dynamics (TLED) finite element algorithm for nonlinear FEM because of many of its attractive properties such as supporting massive parallelism, avoiding dynamic update of stiffness matrix computation, and efficient solver. Based on a predictor‐corrector scheme for both velocity and position, different normal and tangential conditions can be realized even for shell‐like thin solids. Our coupling method is entirely implemented on modern GPUs using CUDA. We demonstrate the advantage of our two‐way coupling method in computer animation via various virtual scenarios.