A fictitious domain/mortar element method for fluid-structure interaction

Baaijens, F.P.T.

doi:10.1002/1097-0363(20010415)35:7<743::aid-fld109>3.0.co;2-a

Cited by 254 publications

(208 citation statements)

References 15 publications

(21 reference statements)

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“…Extra matrix blocks associated with the Lagrange multipliers provides the coupling. Baaijens (2001) introduced the idea to use the fictitious domain method, that was formerly used only with embedded rigid bodies, for slender elastic bodies in a fluid and Yu (2005) generalised the approach for non-slender bodies by introducing a formulation in which the whole solid surface was coupled (2D). One could reason that Baaijens' method is the same as that proposed by Yu with a specific choice to discretise the Lagrange multiplier.…”

Section: Fictitious Domain (Fd)mentioning

confidence: 99%

“…Yu (2005) set out his version of the fictitious domain method for nonslender deformable bodies. Analysis of this approach was performed by two numerical examples: the motion of a slender solid slab in a pulsatile flow (like the one in Baaijens (2001)) and the self-sustained flapping of a slender solid in a constant flow (like in Zhu and Peskin (2002)). …”

mentioning

confidence: 96%

“…Based on the fictitious domain idea Baaijens (2001) proposed a fluid-solid interaction version suitable for slender bodies. In this work a fluid and solid mesh are generated independently from each other and both domains are coupled by means of a Lagrange multiplier along the boundary of the solid.…”

mentioning

confidence: 99%

“…The more conventional ALE method and three variations of the fictitious domain methods will be considered in two numerical experiments. The fictitious domain methods are the ones earlier proposed by Baaijens (2001), Yu (2005 and Van Loon et al (2006). This way we hope to provide more insight in the strengths and, possibly more important, the weaknesses of the various methods.…”

mentioning

confidence: 99%

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Comparison of various fluid–structure interaction methods for deformable bodies

Loon

Anderson

Vosse

et al. 2007

Computers & Structures

130

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A perspective is given on fictitious domain methods for deformable bodies that exert large motions induced by unsteady flow. In these methods an Eulerian and Lagrangian formulation are employed for the fluid and solid, respectively, and both bodies are coupled using a Lagrange multiplier. This multiplier allows the solid not to be an integral part of the fluid mesh, that therefore requires no updating. Three variations of the fictitious domain method that have been published before, are compared to an ALE method in two numerical experiments and in conclusion the advantages, disadvantages and differences for the different approaches are regarded.

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Section: Fictitious Domain (Fd)mentioning

confidence: 99%

mentioning

confidence: 96%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Comparison of various fluid–structure interaction methods for deformable bodies

Loon

Anderson

Vosse

et al. 2007

Computers & Structures

130

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“…9 A discontinuous interpolation of the pressure appears to be mandatory, since an arbitrary location of the particle boundary induces discontinuity in the pressure. 12 The point collocation method has been used for equations for the rigid-ring constraint in Eqs. ͑17͒ and ͑19͒, e.g.,…”

Section: A the Velocity Fieldmentioning

confidence: 99%

Chaotic advection in a cavity flow with rigid particles

2005

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The effect of freely suspended rigid particles on chaotic material transport in a two-dimensional cavity flow is studied. We concentrate on the understanding of the mechanism how the presence of a particle affects the dynamical system of the flow. In contrast to the case studied by Vikhansky ͓"Chaotic advection of finite-single bodies in a cavity flow," Phys. Fluids 15, 1830 ͑2003͔͒, we show that even a regular periodic motion of a single particle can induce chaotic advection around the particle, as a result of the perturbation of the flow introduced by the freely rotating solid particle. This perturbation is of a hyperbolic nature. In fact, stretching and folding of the fluid elements are guaranteed by the occurrence of the hyperbolic flow perturbation centered at the particle and by the rotation of the freely suspended particle, respectively. The fluid-solid flow problem has been solved by a fictitious-domain/finite-element method based on a rigid-ring description of the solid particle. A single-particle system is studied in detail in view of the dynamical systems theory and then extended to two-and three-particle systems.

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Heart Valve Prostheses

Chandran

2006

Encyclopedia of Medical Devices and Instrumentation

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Heart valve prostheses have been successfully implanted in humans with diseased native heart valves for >40 years. Patients with implanted prostheses lead a relatively normal life. The currently available prostheses can be broadly classified into mechanical and biological heart valve prostheses. Mechanical valve prostheses are made entirely out of blood compatible nonbiological material, and hence are highly durable. However, thrombo‐embolic complications are still the major problem with these valves, and hence the patient has to be under long‐term anticoagulant therapy. Biological valves with leaflets made of biological tissue generally do not require long‐term anticoagulant therapy. However, they lack in durability with replacements becoming necessary at 10–12 years after implantation on the average. It is clear that further improvements are needed in the valve designs in order to improve the quality of life for patients implanted with valve prostheses. This article discusses the history of development of valve prostheses, mechanical and bioprosthetic valves currently available for implantation, and efforts in our understanding of the relationship between the dynamics of valve function and the problems existing with the current valve prostheses.

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A fictitious domain/mortar element method for fluid-structure interaction

Cited by 254 publications

References 15 publications

Comparison of various fluid–structure interaction methods for deformable bodies

Comparison of various fluid–structure interaction methods for deformable bodies

Chaotic advection in a cavity flow with rigid particles

Heart Valve Prostheses

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