A moving least squares material point method with displacement discontinuity and two-way rigid body coupling
A moving least squares material point method with displacement discontinuity and two-way rigid body coupling
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DOI：
10.1145/3197517.3201293
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发表时间：
2018-07
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影响因子：
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通讯作者：
Yuanming Hu;Yu Fang;Z. Ge;Ziyin Qu;Yixin Zhu;Andre Pradhana;Chenfanfu Jiang
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作者：
Yuanming Hu;Yu Fang;Z. Ge;Ziyin Qu;Yixin Zhu;Andre Pradhana;Chenfanfu Jiang
在本文中，我们介绍了移动最小二乘物质点法（MLS - MPM）。MLS - MPM自然地引出了仿射物质点法（APIC）[江等人，2015]和多项式物质点法[傅等人，2017]的公式表述，其方式与控制方程的伽辽金式弱形式离散化是一致的。此外，它实现了一种新的应力散度离散化，使得所有的MPM模拟能够比以前快两倍。我们还在MLS - MPM的基础上开发了一种相容物质点法（CPIC）算法。利用彩色距离场表示以及针对粒子和网格节点的一种新的相容性条件，我们的框架能够模拟各种MPM以前不支持的新现象，包括材料切割、动态开放边界以及与刚体的双向耦合。具有CPIC的MLS - MPM易于实现且对性能优化友好。
In this paper, we introduce the Moving Least Squares Material Point Method (MLS-MPM). MLS-MPM naturally leads to the formulation of Affine Particle-In-Cell (APIC) [Jiang et al. 2015] and Polynomial Particle-In-Cell [Fu et al. 2017] in a way that is consistent with a Galerkin-style weak form discretization of the governing equations. Additionally, it enables a new stress divergence discretization that effortlessly allows all MPM simulations to run two times faster than before. We also develop a Compatible Particle-In-Cell (CPIC) algorithm on top of MLS-MPM. Utilizing a colored distance field representation and a novel compatibility condition for particles and grid nodes, our framework enables the simulation of various new phenomena that are not previously supported by MPM, including material cutting, dynamic open boundaries, and two-way coupling with rigid bodies. MLS-MPM with CPIC is easy to implement and friendly to performance optimization.