A field-split preconditioning technique for fluid-structure interaction problems with applications in biomechanics

Sara Calandrini; Eugenio Aulisa; Guoyi Ke

doi:10.1002/cnm.3301

A field-split preconditioning technique for fluid-structure interaction problems with applications in biomechanics

Int J Numer Method Biomed Eng. 2020 Mar;36(3):e3301. doi: 10.1002/cnm.3301.

Authors

Sara Calandrini¹, Eugenio Aulisa², Guoyi Ke³

Affiliations

¹ Department of Scientific Computing, Florida State University, Tallahassee, Florida.
² Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas.
³ Department of Mathematics and Physical Sciences, Louisiana State University at Alexandria, Alexandria, Louisiana.

PMID: 31883314
DOI: 10.1002/cnm.3301

Abstract

We present a novel preconditioning technique for Krylov subspace algorithms to solve fluid-structure interaction (FSI) linearized systems arising from finite element discretizations. An outer Krylov subspace solver preconditioned with a geometric multigrid (GMG) algorithm is used, where for the multigrid level subsolvers, a field-split (FS) preconditioner is proposed. The block structure of the FS preconditioner is derived using the physical variables as splitting strategy. To solve the subsystems originated by the FS preconditioning, an additive Schwarz (AS) block strategy is employed. The proposed FS preconditioner is tested on biomedical FSI applications. Both 2D and 3D simulations are carried out considering aneurysm and venous valve geometries. The performance of the FS preconditioner is compared with that of a second preconditioner of pure domain decomposition type.

Keywords: additive Schwarz preconditioner; field-split preconditioner; fluid-structure interaction; hemodynamics.

Publication types

Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Algorithms
Biomechanical Phenomena / physiology*
Computer Simulation*
Hemodynamics / physiology