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图学学报

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基于完全拉格朗日粒子方法的物理动画模拟

  

  1. 华北电力大学控制与计算机工程学院，河北 保定 071003
  • 出版日期:2017-06-30 发布日期:2017-07-06
  • 基金资助:
    国家自然科学基金项目(61502168)；中央高校基本科研业务费专项资金(2015MS126)；河北省自然科学基金项目(F2016502069)

Realistic Simulation of Physical Animation Based on Lagrangian Particle Method

  1. School of Control and Computer Engineering, North China Electric Power University, Baoding Hebei 071003, China
  • Online:2017-06-30 Published:2017-07-06

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摘要： 自然界中不同类型物体和行为的真实感模拟是物理动画的重要内容，但实现基于
统一数值方法的模拟仍是研究难点。基于光滑粒子动力学方法和连续介质力学物理模型，提出
一种基于完全拉格朗日粒子方法的物理动画模拟算法，模拟刚性物体、弹性物体和不可压缩流
体的动力学行为。此外，结合固体表面粒子的自适应采样方案和相对贡献计算方案，提出一种
稳定的固流交互算法。实验结果表明，该方法适合于虚拟环境中不同类型物体运动和交互的统
一建模和模拟。

关键词: 物理动画, 粒子方法, 弹性变形, 刚体, 流体, 固流交互

Abstract: Realistic simulation of different types of objects in real world is an important task of
physical animation. However, it is still hard to realize simulating based on a unified numerical
method. Based on smoothed particle hydrodynamics and continuum mechanics, we propose a unified
particle-based method to simulate physical animation, and realistically simulate rigid objects, elastic
objects and incompressible fluids. Moreover, by combining the adaptive sampling scheme and
relative contribution computation of surface particles of objects, we present a stable fluid-solid
coupling algorithm. The results demonstrate that our method is suitable for the unified modeling and
simulation of different objects in virtual scenes.

Key words: physical animation, particle-based method, elastic deformation, rigid solid, fluid;
fluid-solid coupling