Benchmark problems for incompressible fluid flows with structural interactions

Bathe, Klaus‐Jürgen; Ledezma, Gustavo A.

doi:10.1016/j.compstruc.2007.01.025

Cited by 80 publications

(55 citation statements)

References 63 publications

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“…To ensure that both techniques solve the coupled problem to the same accuracy, the convergence of the FSI problem is also controlled by ADINA. Several 2D and 3D cases with incompressible fluids from different authors [7,69,139] are investigated. The results of this comparison are briefly described below.…”

Section: Comparison Between Iqn-ils and A Monolithic Techniquementioning

confidence: 99%

“…In this so-called mass conservation test [7], the pressure at the inlet and outlet of a tube is increased in 16 equal steps and the steady solution is calculated in each step. The simulation with IQN-ILS takes 33% longer than the simulation with the MN method but both algorithms are capable of calculating the response.…”

Section: Comparison Between Iqn-ils and A Monolithic Techniquementioning

confidence: 99%

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Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

123

107

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In this review article, the focus is on partitioned simulation techniques for strongly coupled fluid-structure interaction problems, especially on techniques which use at least one of the solvers as a black box. First, a number of analyses are reviewed to explain why Gauss-Seidel coupling iterations converge slowly or not at all for fluid-structure interaction problems with strong coupling. This provides the theoretical basis for the fast convergence of quasi-Newton and multi-level techniques. Second, several partitioned techniques that couple two black-box solvers are compared with respect to implementation and performance. Furthermore, performance comparisons between partitioned and monolithic techniques are examined. Subsequently, two similar techniques to couple a black-box solver with an accessible solver are analyzed. In addition, several other techniques for fluid-structure interaction simulations are studied and various methods to take into account deforming fluid domains are discussed.

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Section: Comparison Between Iqn-ils and A Monolithic Techniquementioning

confidence: 99%

Section: Comparison Between Iqn-ils and A Monolithic Techniquementioning

confidence: 99%

Partitioned Simulation of Fluid-Structure Interaction

Degroote¹

2013

Arch Computat Methods Eng

123

107

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“…In the monolithic approach, both the flow and structure problem are solved with a single code [7][8][9][10][11]. This avoids the coupling iterations to find the coupled solution in the partitioned approach where the flow and structure are solved with separate codes.…”

Section: Introductionmentioning

confidence: 99%

Stability of a coupling technique for partitioned solvers in FSI applications

Degroote

Bruggeman

Haelterman

et al. 2008

Computers & Structures

141

121

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This paper focuses on the stability of the coupling iterations in the partitioned approach to fluid-structure interaction. Previous research has shown that the number of coupling iterations increases when the time step decreases or when the structure becomes more flexible which is explained here by Fourier error analysis of the unsteady, incompressible flow in an elastic tube. Substituting a linearized model of the structural solver into the flow solver makes the coupling more stable but is impracticable if the flow solver is a black box. Therefore the coupling iterations are stabilized by coupling with reduced-order models and Aitken underrelaxation.

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“…We seek to validate and evaluate the accuracy and performance of the proposed Newtonmultigrid solver for a set of FSI benchmark configurations that can be found in the literature (see [3,7,23]). …”

Section: Numerical Resultsmentioning

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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Benchmark problems for incompressible fluid flows with structural interactions

Cited by 80 publications

References 63 publications

Partitioned Simulation of Fluid-Structure Interaction

Partitioned Simulation of Fluid-Structure Interaction

Stability of a coupling technique for partitioned solvers in FSI applications

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

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