An Implicit Partitioned Method for the Numerical Simulation of Fluid-Structure Interaction

Schäfer, Michael; Heck, Marcus; Yigit, Saim

doi:10.1007/3-540-34596-5_8

Cited by 37 publications

(31 citation statements)

References 4 publications

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“…When the algorithm couples the fluid and structure repeatedly in every time step, up to a converged coupled solution, it is called implicit partitioned approach [16,17]. This ensures a stronger coupling than the explicit approach, doing the coupling only once in a time step [6,13].…”

Section: Introductionmentioning

confidence: 98%

“…It should be noted that all the test cases for this paper are chosen mainly to demonstrate the numerical behavior. In [17] the validation for a real configuration is presented.…”

Section: Introductionmentioning

confidence: 99%

“…There are a lot of aspects to be considered for the simulation of such coupled problems and several methods have been developed. First one can differentiate between the monolithic [9,10,12] and the partitioned approaches [6,16,17]. For the monolithic approaches, the whole coupled problem is solved simultaneously.…”

Section: Introductionmentioning

confidence: 99%

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Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach

et al. 2008

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Section: Introductionmentioning

confidence: 98%

“…It should be noted that all the test cases for this paper are chosen mainly to demonstrate the numerical behavior. In [17] the validation for a real configuration is presented.…”

Section: Introductionmentioning

confidence: 99%

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Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach

et al. 2008

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“…A simplified model of blood flow in large arteries is used in [3,12,14,17]. The problem of a flexible beam interacting with the wake behind a rigid cylinder in a laminar flow as presented in [42] has been modeled in [12,16,19,21,34] among others. Other examples include the lid driven cavity with a flexible bottom [18,20,26,27,35], a cantilevered shell in a cross flow [2,21], parachute systems [25,[36][37][38][39]41] and comparison with experimental results [12,22,29,34].…”

Section: Introductionmentioning

confidence: 99%

A complementary study of analytical and computational fluid-structure interaction

2014

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This paper introduces new initial value problems for the design and analysis of fluid-structure interaction algorithms. The problems are constructed from a finite number of sinusoidal perturbations of thin structures superposed on incompressible fluids. Explicit analytical solutions are provided for rigorous quantitative comparisons including viscous effects. The equation governing a single inviscid mode is split into fluid and structure subproblems and numerical parameters are derived for several partitioned algorithms based on a Dirichlet-Neumann decomposition and a second-order backward difference time discretization. Numerical experiments are performed using a stabilized fractional-step finite element method for the fluid and membrane finite elements for the structure. The convergence behaviour of the finite element solutions to the analytical solutions is demonstrated. Finally, the stability and performance of the numerical parameters derived from a single inviscid mode are presented for more general problems including multiple modes and viscous effects.

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“…In [8] the inner Krylov iterations are preconditioned with algebraic multigrid methods, while an overlapping additive Schwarz preconditioner is considered in [26] with application to parallel three-dimensional blood flow simulations. A partitioned method in which multigrid is used either within the fluid and solid solves or as an outer iteration is addressed in [16,18]. Other numerical studies are available in the literature on the use of domain decomposition Vanka-type smoothers for multigrid both in Computational Fluid Dynamics (CFD) and in Computational Solid Mechanics (CSM) [1,19,24,25,14,2].…”

Section: Introductionmentioning

confidence: 99%

Multigrid Solver With Domain Decomposition Smoothing for Steady-State Incompressible Fsi Problems

Aulisa¹,

Bnà²,

Bornia³

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In this paper we investigate the numerical performance of a monolithic Newtonmultigrid solver with domain decomposition smoothers for the solution of a class of stationary incompressible FSI problems. The physics of the problem is described using a monolithic approach, where mass continuity and stress balance are automatically satisfied across the fluidsolid interface. The deformation of the fluid domain is taken into account within the nonlinear Newton iterations according to an Arbitrary Lagrangian Eulerian (ALE) scheme. Due to the complexity and variety of the operators, the implementation of the Jacobian matrix in the nonlinear iterations is not a trivial task. To this purpose, we make use of automatic differentiation tools for an exact computation of the Jacobian matrix. The numerical solution of steady-state problems is particularly challenging, due to the ill-conditioning of the induced stiffness matrix. Moreover, the enforcement of the incompressibility condition calls for the use of incompressible solvers either of mixed or segregated type. At each nonlinear outer iteration the resulting linearized system is solved with a geometric multigrid solver. We consider a GMRES smoother preconditioned by an Additive Schwarz Method (ASM). The domain decomposition of the preconditioner is driven by the natural splitting between fluid and solid domain. The numerical results of some benchmark tests for steady-state cases show agreement with the literature and an increased robustness with our choice of smoothers with respect to standard ones.

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An Implicit Partitioned Method for the Numerical Simulation of Fluid-Structure Interaction

Cited by 37 publications

References 4 publications

Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach

Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach

A complementary study of analytical and computational fluid-structure interaction

Multigrid Solver With Domain Decomposition Smoothing for Steady-State Incompressible Fsi Problems

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