Comparison of various fluid–structure interaction methods for deformable bodies

Loon, Raoul van; Anderson, Patrick Patrick; Vosse, F.N. van de; Sherwin, Spencer J.

doi:10.1016/j.compstruc.2007.01.010

Cited by 130 publications

(64 citation statements)

References 20 publications

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“…Because the coefficients c k are a function of ∆r, equation (19) shows how ∆x can be approximated for a given ∆r. Hence, equation (19) can be seen as a procedure to calculate the product of the approximation for the inverse of the Jacobian and a vector ∆r = −r k ∆x = dR dx…”

Section: Iqn-ilsmentioning

confidence: 99%

See 1 more Smart Citation

Performance of partitioned procedures in fluid–structure interaction

Degroote¹,

Haelterman²,

Annerel³

et al. 2010

Computers & Structures

142

115

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Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are "black boxes". It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasiNewton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).

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Section: Iqn-ilsmentioning

confidence: 99%

“…Hence, equation (19) can be seen as a procedure to calculate the product of the approximation for the inverse of the Jacobian and a vector ∆r = −r k ∆x = dR dx…”

Section: Iqn-ilsmentioning

confidence: 99%

Performance of partitioned procedures in fluid–structure interaction

Degroote¹,

Haelterman²,

Annerel³

et al. 2010

Computers & Structures

142

115

View full text Add to dashboard Cite

show abstract

“…Selecting the basis and discretization of the Lagrange multiplier space based on the finer fluid boundary and set of functions has been shown [17] to produce optimal results. This is because it provides the largest discrete function space over which Equation (27) holds and the richness provides ample degrees of freedom to enforce Equation (28). As a result, for our fluid-solid coupling, P 2 quadratic basis functions were selected on the boundary, allowing us to express k h,n as the weighted sum…”

Section: Coupling By the Introduction Of A Third Variablementioning

confidence: 99%

Fluid-solid coupling for the investigation of diastolic and systolic human left ventricular function

Nordsletten

McCormick

Kilner

et al. 2010

Int. J. Numer. Meth. Biomed. Engng.

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SUMMARYUnderstanding the underlying feedback mechanisms of fluid/solid coupling and the role it plays in heart function is crucial for characterizing normal heart function and its behavior in disease. To improve this understanding, an anatomically accurate computational model of fluid-solid mechanics in the left ventricle is presented which assesses both the passive diastolic and active systolic phases of the heart. Integrating multiple data which characterize the hemodynamical and tissue mechanical properties of the heart, a numerical approach was applied which allows non-conformity in an optimal finite element scheme (J. Comp. Phys., submitted; Fluid-solid coupling for the simulation of left ventricular mechanics, University of Oxford, 2009). This approach is applied to look specifically at left ventricular fluid/solid coupling, allowing quantitative assessment of blood flow through the left ventricle, pressure distributions, activation and the loss of mechanical energy due to viscous dissipation.

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“…A dynamic mesh movement algorithm that deforms the fluid mesh is therefore required and is described later. The deforming-spatial-domain/space-time procedure [48,49] is another popular method for treating moving boundaries and interfaces, while other formulations that utilise a fixed mesh, including immersed boundary [50] and fictitious domain [51] methods, can also be used to perform FSI simulations.…”

Section: Fluid Equationsmentioning

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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Comparison of various fluid–structure interaction methods for deformable bodies

Cited by 130 publications

References 20 publications

Performance of partitioned procedures in fluid–structure interaction

Performance of partitioned procedures in fluid–structure interaction

Fluid-solid coupling for the investigation of diastolic and systolic human left ventricular function

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

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