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Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions

delete2012-04-01
delete59
PRE
AI
F
Frédéric Gibou
C
Chohong Min *
DOI:10.1016/j.jcp.2012.01.009delete
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摘要

摘要

En 中文
We introduce a robust and efficient method to simulate strongly coupled (monolithic) fluid/rigid-body interactions. We take a fractional step approach, where the intermediate state variables of the fluid and of the solid are solved independently, before their interactions are enforced via a projection step. The projection step produces a symmetric positive definite linear system that can be efficiently solved using the preconditioned conjugate gradient method. In particular, we show how one can use the standard preconditioner used in standard fluid simulations to precondition the linear system associated with the projection step of our fluid/solid algorithm. Overall, the computational time to solve the projection step of our fluid/solid algorithm is similar to the time needed to solve the standard fluid-only projection step. The monolithic treatment results in a stable projection step, i.e. the kinetic energy does not increase in the projection step. Numerical results indicate that the method is second-order accurate in the L-infinity-norm and demonstrate that its solutions agree quantitatively with experimental results. (C) 2012 Elsevier Inc. All rights reserved.
Keyword:
Fluid
Solid
Rigid body
Interaction between fluid and solid
Level-set method
Navier-Stokes equations

期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

机构

University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
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