期刊
ACM TRANSACTIONS ON GRAPHICS
卷 31, 期 1, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/2077341.2077351
关键词
Algorithms; Design; Animation; fluid simulation; Laplacian eigenfunctions; physically; based animation; fluid; smoke; geometric mechanics
资金
- Natural Sciences and Engineering Research Council of Canada
- MITACS
- GRAND National Centres of Excellence
We present an algorithm for the simulation of incompressible fluid phenomena that is computationally efficient and leads to visually convincing simulations with far fewer degrees of freedom than existing approaches. Rather than using an Eulerian grid or Lagrangian elements, we represent vorticity and velocity using a basis of global functions defined over the entire simulation domain. We show that choosing Laplacian eigenfunctions for this basis provides benefits, including correspondence with spatial scales of vorticity and precise energy control at each scale. We perform Galerkin projection of the Navier-Stokes equations to derive a time evolution equation in the space of basis coefficients. Our method admits closed-form solutions on simple domains but can also be implemented efficiently on arbitrary meshes.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据