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

Suliman, Ridhwaan; Oxtoby, Oliver F; Malan, Arnaud G.; Kok, Schalk

doi:10.1016/j.euromechflu.2014.10.002

Cited by 5 publications

(2 citation statements)

References 56 publications

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“…Alternatively, the strong (implicit) coupling can be adopted [49,50,51], which has benefits in terms of stability and is comparable with a monolithic coupling. In this algorithm, the time step loop is equipped with an additional inner loop called "stage", thus if the "stage loop" converges the monolithic solutions is obtained.…”

Section: Coupling Strategymentioning

confidence: 99%

Evaluation of a coupling interface for solving fluid–structure interaction problems

Garelli

Schauer

Rodriguez

et al. 2016

European Journal of Mechanics - B/Fluids

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This research work evaluates the performance of a Fluid Structure Interaction (FSI) solver, which is created using a generic interface to couple two independent software packages. The basic idea is to combine the advantages of the two independent codes to create a powerful FSI solver for two and three dimensional FSI analysis using the concept of modular programming. A detailed description about the implementation of an interface to couple a three-field system involved in the analysis is given, and this developed interface can be generalized to others codes. Since solving complex FSI problems is very time consuming, the focus of this work is placed on the performance of the coupled solver, for which a FSI benchmark will be solved on a computer cluster in order to measure speed up and efficiency.

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Section: Coupling Strategymentioning

confidence: 99%

Evaluation of a coupling interface for solving fluid–structure interaction problems

Garelli

Schauer

Rodriguez

et al. 2016

European Journal of Mechanics - B/Fluids

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show abstract

“…Their method is based on a full Eulerian fluid-(bulk) structure coupling solver previously developed by Sugiyama et al (2011), with the bulk structure replaced by elastic membranes. Suliman et al (2015) presented a fully-coupled partitioned finite volume-finite volume and hybrid finite volume-finite element FSI scheme. In this scheme 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.…”

Section: Introductionmentioning

confidence: 99%

A full-Eulerian approach for simulation of a system of fluid–rigid–elastic structure interaction based on the vorticity-stream function formulation

2023

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A monolithic mathematical framework for understanding the fluid-rigid-elastic structure interaction problem is proposed. A numerical method in a secondary formulation of the Navier-Stokes equations accompanying a technique for imposing the rigid boundaries is applied. The one-fluid formulation of the incompressible Navier-stokes equation, containing the terms governing the elastic structure, is transformed into the vorticity-stream function formulation. The rigid structure is imposed in the flow field based on the velocity-vorticity kinematic relation and harmonic function theorem. The vorticity, level-set function, and left Cauchy-Green deformation tensor are updated utilizing three transport equations to investigate the evolution of the velocity field, elastic structure(s) configuration, and elastic stress tensor. The method is implemented to solve three challenging problems, and the results show its capabilities in proper imposing the rigid structures in the flow field and also the simultaneous modeling the rigid and elastic structure interactions with incompressible fluid flow.

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Simulation of 2D fluid–structure interaction in inviscid compressible flows using a cell-vertex central difference finite volume method

Hejranfar

Azampour

2016

Journal of Fluids and Structures

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

Cited by 5 publications

References 56 publications

Evaluation of a coupling interface for solving fluid–structure interaction problems

Evaluation of a coupling interface for solving fluid–structure interaction problems

A full-Eulerian approach for simulation of a system of fluid–rigid–elastic structure interaction based on the vorticity-stream function formulation

Simulation of 2D fluid–structure interaction in inviscid compressible flows using a cell-vertex central difference finite volume method

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