Numerical simulation of fluid–structure interaction using the finite element method

Teixeira, Paulo Roberto; Awruch, Armando Miguel

doi:10.1016/j.compfluid.2004.03.006

Cited by 92 publications

(53 citation statements)

References 20 publications

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“…8. This example was proposed by Wall et al [37], and many other researchers like Dettmer et al [38], Hübner et al [39] and Teixeira et al [40] also studied this model to test their numerical methods for the FSI problems. A uniform and constant velocity u in is imposed at the inlet, and the outlet pressure p out is set to 0.…”

Section: Flow-induced Vibration Of An Elastic Platementioning

confidence: 99%

An unstructured finite volume approach for structural dynamics in response to fluid motions

Xia

Lin

2008

Computers & Structures

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A new cell-vortex unstructured finite volume method for structural dynamics is assessed for simulations of structural dynamics in response to fluid motions. A robust implicit dual-time stepping method is employed to obtain time accurate solutions. The resulting system of algebraic equations is matrix-free and allows solid elements to include structure thickness, inertia, and structural stresses for accurate predictions of structural responses and stress distributions. The method is coupled with a fluid dynamics solver for fluid-structure interaction, providing a viable alternative to the finite element method for structural dynamics calculations. A mesh sensitivity test indicates that the finite volume method is at least of second-order accuracy. The method is validated by the problem of vortex-induced vibration of an elastic plate with different initial conditions and material properties. The results are in good agreement with existing numerical data and analytical solutions. The method is then applied to simulate a channel flow with an elastic wall. The effects of wall inertia and structural stresses on the fluid flow are investigated.

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Section: Flow-induced Vibration Of An Elastic Platementioning

confidence: 99%

An unstructured finite volume approach for structural dynamics in response to fluid motions

Xia

Lin

2008

Computers & Structures

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“…This is a popular FSI benchmark test-case that was first proposed by Wall [64] and studied by many other researchers [16,34,18,29]. In these publications, various different combinations of material properties, initial conditions and Reynolds numbers have been considered.…”

Section: Block-tail In First Mode Of Vibrationmentioning

confidence: 99%

“…Our approach allows independence with respect to spatial discretisation of the fluid and solid domains. Many recent FSI efforts have made use of a single discretisation scheme, either finite volume [28,17,29,30] or finite element [16,18,31,32,33,34], to solve the entire domain, which simplifies the treatment at the interface of the fluid and solid domain. However, each method contains certain inherent advantages and should be used as such.…”

Section: Introductionmentioning

confidence: 99%

A matrix free, partitioned solution of fluid–structure interaction problems using finite volume and finite element methods

Suliman

Oxtoby

Malan

et al. 2015

European Journal of Mechanics - B/Fluids

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A fully-coupled partitioned finite volume-finite volume and hybrid finite volume-finite element fluid-structure interaction scheme is presented. The fluid domain is modelled as a viscous incompressible isothermal region governed by the Navier-Stokes equations and discretised using an edge-based hybrid-unstructured vertex-centred finite volume methodology. The structure, consisting of a homogeneous isotropic elastic solid undergoing large, non-linear deformations, is discretised using either an elemental/nodalstrain finite volume approach or isoparametric Q8 finite elements and is solved using a matrix-free dual-timestepping approach. Coupling is on the solver sub-iteration level leading to a tighter coupling than if the subdomains are converged separately. The solver is parallelised for distributed-memory systems using METIS for domaindecomposition and MPI for inter-domain communication. The developed technology is evaluated by application to benchmark problems for strongly-coupled fluid-structure interaction systems. It is demonstrated that the scheme effects full coupling between the fluid and solid domains, whilst furnishing accurate solutions.

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“…The mesh movement algorithm adopted in this paper uses a smoothing procedure for the velocities based on these boundary surfaces. The updating of the mesh velocity at point i of the finite element domain is based on the mesh velocity of the points j that belong to the boundary surfaces, and is expressed in the following way [32]:…”

Section: Mesh Movementmentioning

confidence: 99%

A Numerical Model Based on Navier-Stokes Equations to Simulate Water Wave Propagation with Wave-Structure Interaction

Teixeira¹

2013

Wave Propagation Theories and Applications

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Numerical simulation of fluid–structure interaction using the finite element method

Cited by 92 publications

References 20 publications

An unstructured finite volume approach for structural dynamics in response to fluid motions

An unstructured finite volume approach for structural dynamics in response to fluid motions

A matrix free, partitioned solution of fluid–structure interaction problems using finite volume and finite element methods

A Numerical Model Based on Navier-Stokes Equations to Simulate Water Wave Propagation with Wave-Structure Interaction

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