Details
| Original language | English |
|---|---|
| Pages (from-to) | 623-643 |
| Number of pages | 21 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 117 |
| Issue number | 6 |
| Early online date | 12 Oct 2018 |
| Publication status | Published - 10 Feb 2019 |
Abstract
In this work, we consider the solution of fluid-structure interaction (FSI) problems using a monolithic approach for the coupling between fluid and solid subproblems. The coupling of both equations is realized by means of the arbitrary Lagrangian-Eulerian framework and a nonlinear harmonic mesh motion model. Monolithic approaches require the solution of large ill-conditioned linear systems of algebraic equations at every Newton step. Direct solvers tend to use too much memory even for a relatively small number of degrees of freedom and, in addition, exhibit superlinear growth in arithmetic complexity. Thus, iterative solvers are the only viable option. To ensure convergence of iterative methods within a reasonable amount of iterations, good and, at the same time, cheap preconditioners have to be developed. We study physics-based block preconditioners, which are derived from the block-LDU factorization of the FSI Jacobian, and their performance on distributed memory parallel computers in terms of two- and three-dimensional test cases permitting large deformations.
Keywords
- fluid-structure interaction, monolithic formulation, parallel solvers, physics-based block preconditioners
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 117, No. 6, 10.02.2019, p. 623-643.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Parallel block-preconditioned monolithic solvers for fluid-structure interaction problems
AU - Jodlbauer, D.
AU - Langer, U.
AU - Wick, T.
N1 - Funding Information: This work has been supported by the Austrian Science Fund (FWF) under Grant P-29181 “Goal-Oriented Error Control for Phase-Field Fracture Coupled to Multiphysics Problems.”
PY - 2019/2/10
Y1 - 2019/2/10
N2 - In this work, we consider the solution of fluid-structure interaction (FSI) problems using a monolithic approach for the coupling between fluid and solid subproblems. The coupling of both equations is realized by means of the arbitrary Lagrangian-Eulerian framework and a nonlinear harmonic mesh motion model. Monolithic approaches require the solution of large ill-conditioned linear systems of algebraic equations at every Newton step. Direct solvers tend to use too much memory even for a relatively small number of degrees of freedom and, in addition, exhibit superlinear growth in arithmetic complexity. Thus, iterative solvers are the only viable option. To ensure convergence of iterative methods within a reasonable amount of iterations, good and, at the same time, cheap preconditioners have to be developed. We study physics-based block preconditioners, which are derived from the block-LDU factorization of the FSI Jacobian, and their performance on distributed memory parallel computers in terms of two- and three-dimensional test cases permitting large deformations.
AB - In this work, we consider the solution of fluid-structure interaction (FSI) problems using a monolithic approach for the coupling between fluid and solid subproblems. The coupling of both equations is realized by means of the arbitrary Lagrangian-Eulerian framework and a nonlinear harmonic mesh motion model. Monolithic approaches require the solution of large ill-conditioned linear systems of algebraic equations at every Newton step. Direct solvers tend to use too much memory even for a relatively small number of degrees of freedom and, in addition, exhibit superlinear growth in arithmetic complexity. Thus, iterative solvers are the only viable option. To ensure convergence of iterative methods within a reasonable amount of iterations, good and, at the same time, cheap preconditioners have to be developed. We study physics-based block preconditioners, which are derived from the block-LDU factorization of the FSI Jacobian, and their performance on distributed memory parallel computers in terms of two- and three-dimensional test cases permitting large deformations.
KW - fluid-structure interaction
KW - monolithic formulation
KW - parallel solvers
KW - physics-based block preconditioners
UR - http://www.scopus.com/inward/record.url?scp=85055743581&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1801.05648
DO - 10.48550/arXiv.1801.05648
M3 - Article
AN - SCOPUS:85055743581
VL - 117
SP - 623
EP - 643
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 6
ER -