期刊
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS
卷 6, 期 2, 页码 137-143出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15502280590891618
关键词
Direct Numerical Simulation; Distributed Lagrange Multiplier; Rigid Particulate Flow
类别
资金
- NSF through CAREER [CTS-0134546]
- Northwestern University
Patankar et al. (2000) presented a new formulation of the Lagrange-multiplier-based fictitious-domain method (DLM) for the direct numerical simulation of rigid particulate flows. The idea is to assume that the entire fluid-particle domain is some fluid and then to constrain the particle domain tomove with a rigid motion by setting the deformation-rate tensor equal to zero. The constraint gives a vector Lagrange multiplier field in the particle domain. This approach is usually referred to as the stress-DLM formulation. We first discuss a physical interpretation of this formulation where we see that, with an appropriate choice of the constraint equations, the vector Lagrange multiplier field is in fact the displacement field of a linear elastic body. We theoretically investigate the existence and uniqueness properties of the stress-DLM formulation by considering a model problem. We find that the velocity and the Lagrange multiplier can be represented by an equal-order interpolation scheme in a finite element formulation. This is unlike the incompressibility constraint where equal order interpolation of pressure and velocity can lead to spurious modes.
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