A computational framework for fluid–structure interaction: Finite element formulation and applications

Dettmer, Wulf G.; Perić, D.

doi:10.1016/j.cma.2005.10.019

Cited by 245 publications

(203 citation statements)

References 42 publications

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“…28, 29 were computed using a conventional staggered (CS) coupling approach. We see that the maximum tip displacement of the beam, not including the transient region, is 1.03 and the average frequency is 2.93 Hz showing a good agreement with [73] and the results in Section 4.2.1. Simulations with the Block Gauss Seidel (BGS) coupling approach give similar results but these have not been shown here.…”

Section: Python-wrapped Fsi With Interface To External Solverssupporting

confidence: 84%

“…No experimental data is available for frequencies higher than 10 Hz. In order to test our native implementation of the FSI solver for deformable solids within SU2, we focus on a well-known benchmark test case first proposed by Wall and Ramm [71] (see, for example, [35,44,[72][73][74][75]). They investigated the dynamics of a flexible cantilever attached to the downwind side of a square cylinder in a low-speed flow, as described in Fig.…”

Section: Test Cases From the 2nd Aiaa Aeroelastic Prediction Workhopmentioning

confidence: 99%

“…The geometry of the problem is the same as Section 4.2.1 but the conditions are slightly different corresponding to those specified in Dettmer et al [73]. These are stated again in Fig.…”

Section: Python-wrapped Fsi With Interface To External Solversmentioning

confidence: 99%

See 2 more Smart Citations

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

Sánchez¹,

Kline²,

Thomas³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. We report on an international effort to develop an open-source computational environment for high-fidelity fluid-structure interaction analysis. In particular, we will focus on verification of the implementation for application in computational aeroelasticity. The capabilities of the SU2 code for aeroelastic analysis have been further enhanced both by developing natively embedded tools for the study of largely deformable solids, and by wrapping it using Python tools for an improved communication with external solvers. Both capabilities will be demonstrated on relevant test cases, including rigid-airfoil solutions with indicial functions, the Isogai Wing Section, test cases from the AIAA 2nd Aeroelastic Prediction Workshop, and the vortex-induced vibrations of a flexible cantilever in the wake of a square cylinder. Results show very good performance both in terms of accuracy and computational efficiency. The modularity and versatility of the baseline suite allows for a flexible framework for multidisciplinary computational analysis. The software libraries have been freely shared with the community to encourage further engagement in the improvement, validation and further development of this open-source project.

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Section: Python-wrapped Fsi With Interface To External Solverssupporting

confidence: 84%

Section: Test Cases From the 2nd Aiaa Aeroelastic Prediction Workhopmentioning

confidence: 99%

See 1 more Smart Citation

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

Sánchez¹,

Kline²,

Thomas³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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show abstract

“…Numerous authors, such as Wall [9], Hübner et al [11], Matthies and Steindorf [8] and Dettmer and Períc [6], have assessed the quality of their numerical solution strategies for FSI by referring to this benchmark physical problem. A two-dimensional mesh of triangles is extruded over the third dimension to generate layers of tetrahedral elements.…”

Section: Flow-induced Oscillations Of a Flexible Cantilevermentioning

confidence: 99%

“…The former category of non-boundary-fitting methods encompasses a range of closely related methods that originate from the immersed boundary method, pioneered by Peskin [5], whereas within the latter category of boundary-fitting methods, one of the most well-known techniques used is the arbitrary Lagrangian-Eulerian (ALE) formulation. Further distinctions between methods can be made depending on the choice of the time integration scheme employed; semi-discrete methods combining a discrete time integration scheme and spatial finite elements have been applied in [6][7][8][9], whereas finite element interpolations over both space and time domains, known as the space-time finite element method, have been applied in [10][11][12][13][14]. An important aspect of boundary-fitted methods, which makes them particularly advantageous within the modelling of the FSI problems, is the ability to capture the position of the moving fluid-structure interface very accurately.…”

Section: Introductionmentioning

confidence: 99%

A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

Wood

Gil

Hassan

et al. 2008

Numerical Methods in Fluids

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SUMMARYThis paper presents a fully coupled three-dimensional solver for the analysis of time-dependent fluidstructure interaction. A partitioned time-marching algorithm is employed for the solution to the timedependent coupled discretized problem, thus enabling the use of highly developed, robust and well-tested solvers for each field. Coupling of the fields is achieved through a conservative transfer of information at the fluid-structure interface. An implicit coupling is achieved when the solutions to the fluid and structure subproblems are cycled at each time step until convergence is reached. The three-dimensional unsteady incompressible fluid is solved using a powerful implicit dual time-stepping technique with an explicit multistage Runga-Kutta time stepping in pseudo-time and arbitrary Lagrangian-Eulerian formulation for the moving boundaries. A finite element dynamic analysis of the highly deformable structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a NewtonRaphson second-order optimization method. Various test cases are presented for benchmarking and to demonstrate the potential applications of this method.

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References

2012

Computational Fluid–Structure Interaction

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A computational framework for fluid–structure interaction: Finite element formulation and applications

Cited by 245 publications

References 42 publications

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

Assessment of the Fluid-Structure Interaction Capabilities for Aeronautical Applications of the Open-Source Solver Su2.

A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes

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