【SIGGRAPH Asia 2012专题*技术论文】力学：交错网格联结

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【SIGGRAPH Asia 2012专题*技术论文】

力学：交错网格联结

Staggered Meshless Solid-Fluid Coupling

Xiaowei He, Ning Liu, Guoping Wang, Fengjun Zhang, Sheng Li, Songdong Shao, Hongan Wang




摘要：模拟固体-流体耦合经典无网格方法是一个不同的fi邪教问题由于缺乏的三角洲的形状函数执行本质边界条件。在这项工作中，我们提出一个新的交错网格方法来克服这个问题。我们创建了一套交错的粒子从原来的粒子在每一时间步映射到这些粒子的质量和动量交错，旨在错开速度fi坡从压力fi坡。根据这一安排，一个新的近似投影方法提出强制执行的fl流体速度分歧与兼容的边界条件。在模拟，该方法处理fl流体和固体在大学无网格方式和推广了配方计算粘性和压力的力量。提高了算法的鲁棒性，我们进一步提出了一种新的框架处理变性病例在固体-流体耦合fl，从而保证稳定的模拟。该方法提供了最好的fi，各种滑移边界条件可以很容易地实施。此外，明确的碰撞处理的fl流体和固体是可以避免的。该方法容易实施，可扩展的标准算法的一种简单的方式。该文件还说明了单向和双向耦合的flUID和刚体使用几个测试案例2和三个维度。
Abstract：Simulating solid-fluid coupling with the classical meshless methods is an difficult issue due to the lack of the Kronecker delta property of the shape functions when enforcing the essential boundary conditions. In this work, we present a novel staggered meshless method to overcome this problem. We create a set of staggered particles from the original particles in each time step by mapping the mass and momentum onto these staggered particles, aiming to stagger the velocity field from the pressure field. Based on this arrangement, an new approximate projection method is proposed to enforce divergence-free on the fluid velocity with compatible boundary conditions. In the simulations, the method handles the fluid and solid in a unified meshless manner and generalizes the formulations for computing the viscous and pressure forces. To enhance the robustness of the algorithm, we further propose a new framework to handle the degeneration case in the solid-fluid coupling, which guarantees stability of the simulation. The proposed method offers the benefit that various slip boundary conditions can be easily implemented. Besides, explicit collision handling for the fluid and solid is avoided. The method is easy to implement andcan be extended from the standard SPH algorithm in a straightforward manner. The paper also illustrates both one-way and two-way couplings of the fluids and rigid bodies using several test cases in two and three dimensions.


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