A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

Lv, Xuebin; Zhao, Yong; Xiao, Huang; Xia, Guohua; Su, Xiaohui

doi:10.1016/j.jcp.2006.11.023

Cited by 23 publications

(24 citation statements)

References 18 publications

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“…The development of a new method (the Immersed Membrane Method or IMM) for imposing an immersed moving boundary condition and perform fluid-structure interaction simulation has been reported in [27,28]. Here we address the problem on how to couple it with currently proposed free surface scheme.…”

Section: Coupling With Immersed Membrane Methods (Imm)mentioning

confidence: 99%

“…Further difficulties need to be addressed in parallel environment. In the current study, an approach similar to the field-extension procedure used in [28] is employed for its relative simplicity and robustness. It is comprised of several basic sub steps as described as follows.…”

Section: Extrapolation Of the Velocitymentioning

confidence: 99%

“…Due to the fact that the deactivation interface changes locations, it is possible that some of the required values from step k are not physical. To avoid forbiddingly complex special treatments of the computation of these derivatives every time such a change of flag is detected during the time advancement procedure, a field-extension procedure (for details of this method, see [28]), in which the velocity and pressure fields are ''extended" in the gaseous phase at the end of each step. The gas phase deactivation and extrapolation scheme introduced in this section are extremely important to keep the method stable and accurate.…”

Section: Extrapolation Of the Velocitymentioning

confidence: 99%

See 2 more Smart Citations

A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

Zou

Zhao

et al. 2010

Journal of Computational Physics

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Section: Coupling With Immersed Membrane Methods (Imm)mentioning

confidence: 99%

Section: Extrapolation Of the Velocitymentioning

confidence: 99%

Section: Extrapolation Of the Velocitymentioning

confidence: 99%

See 1 more Smart Citation

A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

Zou

Zhao

et al. 2010

Journal of Computational Physics

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“…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 problems of static stochastic structural analysis can be solved very well, and it has been applied to engineering practice successfully. However, the study of the stochastic dynamic analysis was still in the primary stage [13][14][15][16][17][18][19]. The main reasons were that the issues of stochastic dynamic analysis were difficult; there were many problems and even some of the basic problems are still to be studied.…”

Section: Introductionmentioning

confidence: 99%

Application of Finite Volume Method to Structural Stochastic Dynamics

Chen

Jia

et al. 2013

Advances in Mechanical Engineering

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The stochastic dynamic problems were becoming more difficult after considering the influences of stochastic factors and the complexity of the dynamic problems. To this background, the finite volume method combined with Perturbation Method was proposed for the stochastic dynamic analysis. The equations of perturbation-finite volume method were derived; the explicit expressions between random response and basic random variables were given; the method of stochastic dynamic analysis was discussed; and the examples were presented to verify the perturbation-finite volume method. The results of perturbation-finite volume method were compared with the results of Monte Carlo Method, which proved that the proposed method was correct and accurate. Because the proposed method was simple and clear, the equations were easy to establish and the efficiency was improved. Meanwhile, the proposed method was successfully applied to the stochastic dynamic analysis of linear multibody system, which was verified through the example in this paper.

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A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid–structure interaction

Cited by 23 publications

References 18 publications

A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

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

Application of Finite Volume Method to Structural Stochastic Dynamics

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