期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 230, 期 12, 页码 5133-5153出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.03.037
关键词
Semi-implicit method; Navier-Stokes equations; Treecode; Krylov subspace method
资金
- National Science Foundation [DMS 1016310]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1016310] Funding Source: National Science Foundation
We propose a fast and non-stiff approach for the solutions of the Immersed Boundary Method, for Newtonian, incompressible flows in two or three dimensions. The proposed methodology is built on a robust semi-implicit discretization introduced by Peskin in the late 70s which is solved efficiently through the novel use of a fast, treecode strategy to compute flow-structure interactions. Optimal multipole-type expansions are performed numerically by solving a least squares problem with a new, fast iterative algorithm. The new Immersed Boundary Method is particularly well suited for three-dimensional applications and/or for problems where the number of immersed boundary points is large. We demonstrate the efficacy and superiority of the method over existing approaches with two simple but illustrative examples in 3D. (C) 2011 Elsevier Inc. All rights reserved.
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