View : 81 Download: 0

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

Title
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions
Authors
Gibou F.Min C.
Ewha Authors
민조홍
SCOPUS Author ID
민조홍scopus
Issue Date
2012
Journal Title
Journal of Computational Physics
ISSN
0021-9991JCR Link
Citation
vol. 231, no. 8, pp. 3246 - 3263
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
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 ∞-norm and demonstrate that its solutions agree quantitatively with experimental results. © 2012 Elsevier Inc.
DOI
10.1016/j.jcp.2012.01.009
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE