A matrix free, partitioned solution of fluid–structure interaction problems using finite volume and finite element methods
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 hybr...
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| Published in: | European journal of mechanics, B, Fluids Vol. 49; pp. 272 - 286 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Masson SAS
01.01.2015
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| ISSN: | 0997-7546, 1873-7390 |
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| Abstract | 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/nodal-strain 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 domain-decomposition 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 results in full coupling between the fluid and solid domains, whilst furnishing accurate solutions. |
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| AbstractList | 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/nodal-strain 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 domain-decomposition 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 results in full coupling between the fluid and solid domains, whilst furnishing accurate solutions. |
| Author | Kok, S. Suliman, R. Oxtoby, O.F. Malan, A.G. |
| Author_xml | – sequence: 1 givenname: R. surname: Suliman fullname: Suliman, R. email: R.Suliman@damtp.cam.ac.uk organization: Aeronautic Systems, Council for Scientific and Industrial Research, Pretoria, 0002, South Africa – sequence: 2 givenname: O.F. surname: Oxtoby fullname: Oxtoby, O.F. organization: Aeronautic Systems, Council for Scientific and Industrial Research, Pretoria, 0002, South Africa – sequence: 3 givenname: A.G. surname: Malan fullname: Malan, A.G. organization: Aeronautic Systems, Council for Scientific and Industrial Research, Pretoria, 0002, South Africa – sequence: 4 givenname: S. surname: Kok fullname: Kok, S. organization: Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria, 0002, South Africa |
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| Keywords | Fluid–structure interaction Partitioned solution Arbitrary Lagrangian–Eulerian (ALE) Finite element methods Parallelisation Finite volume methods |
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| Snippet | A fully-coupled partitioned finite volume–finite volume and hybrid finite volume–finite element fluid–structure interaction scheme is presented. The fluid... A fully-coupled partitioned finite volume-finite volume and hybrid finite volume-finite element fluid-structure interaction scheme is presented. The fluid... |
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| SubjectTerms | Arbitrary Lagrangian–Eulerian (ALE) Computational fluid dynamics Finite element methods Finite volume methods Fluid flow Fluid-structure interaction Fluids Joining Mathematical analysis Mathematical models Navier-Stokes equations Parallelisation Partitioned solution |
| Title | A matrix free, partitioned solution of fluid–structure interaction problems using finite volume and finite element methods |
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