Parallel coupling numerics for partitioned fluid–structure interaction simulations

Mehl, Miriam; Uekérmann, Benjamin; Bijl, H.; Blom, David; Gatzhammer, Bernhard; Zuijlen, Alexander van

doi:10.1016/j.camwa.2015.12.025

Cited by 61 publications

(41 citation statements)

References 47 publications

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“…In addition to the work cited above, there are other approaches to addressing added-mass-type instabilities in both partitioned and monolithic FSI solvers. For partitioned schemes, a typical strategy is to used under-relaxed subiterations, and previous research has shown that the number of necessary sub-iterations can be reduced by the use of Aitken acceleration or quasi-Newton methods, see [17,18]. Additionally, sub-iteration schemes based on Robin-Neumann or Robin-Robin coupling, as opposed to the traditional Dirichlet-Neumann coupling, have also been shown to yield performance gains [19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow

Serino

Banks

Henshaw

et al. 2019

Journal of Computational Physics

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A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. The AMP scheme is stable and second-order accurate even when added-mass, and added-damping, effects are large. Deforming composite grids are used to effectively handle the evolving geometry and large deformations. The fluid is updated with an implicit-explicit (IMEX) fractional-step scheme whereby the velocity is advanced in one step, treating the viscous terms implicitly, and the pressure is computed in a second step. The AMP interface conditions for the fluid arise from the outgoing characteristic variables in the solid and are partitioned into a Robin (mixed) interface condition for the pressure, and interface conditions for the velocity. The latter conditions include an impedanceweighted average between fluid and solid velocities using a fluid impedance of a special form. A similar impedance-weighted average is used to define interface values for the solid. The new algorithm is verified for accuracy and stability on a number of useful benchmark problems including a radial-piston problem where exact solutions for radial and azimuthal motions are found and tested. Traveling wave exact solutions are also derived and numerically verified for a solid disk surrounded by an annulus of fluid. Fluid flow in a channel past a deformable solid annulus is computed and errors are estimated from a self-convergence grid refinement study. The AMP scheme is found to be stable and second-order accurate even for very difficult cases of very light solids.

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Section: Introductionmentioning

confidence: 99%

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow

Serino

Banks

Henshaw

et al. 2019

Journal of Computational Physics

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“…For the same class of FSI problems, the parallel performance of physics‐based block preconditioners was investigated in the work of Crosetto et al Strong and weak scalability studies were presented for a moderate number of cores. In the very recent publications of Deparis et al and Forti et al, these studies have been extended to a larger number of cores, again including scalability tests, and to a nonconforming fluid‐structure coupling via the internodes technique proposed in the other work of Deparis et al In the work of Mehl et al, a parallel framework for the partitioned FSI solution was presented.…”

Section: Introductionmentioning

confidence: 99%

Parallel block‐preconditioned monolithic solvers for fluid‐structure interaction problems

Jodlbauer

Langer

Wick

2018

Numerical Meth Engineering

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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 Int J Numer Methods Eng. 2019;117:623-643.wileyonlinelibrary.com/journal/nme

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“…Partitioned fluid-structure interaction (FSI) methods are traditionally adopted in engineering applications since it is easy to combine available solvers for fluid and solid mechanical problems; see, e.g., [23,27,32,4,53,31,37,18,9,10,19,20,78,59] for recent development of partitioned methods. However, the separation of the solid from the fluid part in the solution process usually yield a loss in efficiency and robustness mainly due to the so-called added-mass effect; see, e.g., [60,88,23,74,34].…”

Section: Introductionmentioning

confidence: 99%

5. Recent development of robust monolithic fluid-structure interaction solvers

Langer¹,

Yang²

2017

Fluid-Structure Interaction

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In the last few years, from the modeling point of view, the monolithic approach for fluid-structure interaction problems in many different application fields has been adopted by more and more researchers. Meanwhile, the development of monolithic solvers in the solution procedure for solving such coupled fluid-structure interaction problems all at once is in general a very hard task and has received a lot of attention. Due to the coupling conditions on the interface, it is challenging to design efficient preconditioners for the linearized coupled system of equations, that are robust with respect to the mesh size, time step size and material parameters. Further, it is nontrivial to realize scalable parallel implementations for solving such large scale coupled systems, which requires special care for handling the interface conditions. In this survey, we present an overview of some recent results on robust monolithic fluidstructure interaction solvers, that are mainly based on the block factorization, geometric and algebraic multigrid, and domain decomposition methods.

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Parallel coupling numerics for partitioned fluid–structure interaction simulations

Cited by 61 publications

References 47 publications

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow

A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow

Parallel block‐preconditioned monolithic solvers for fluid‐structure interaction problems

5. Recent development of robust monolithic fluid-structure interaction solvers

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