A stable second-order scheme for fluid–structure interaction with strong added-mass effects

Liu, Jie; Jaiman, Rajeev K.; Gurugubelli, Pardha S.

doi:10.1016/j.jcp.2014.04.020

Cited by 54 publications

(32 citation statements)

References 32 publications

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“…But mortar finite element techniques can be used to alleviate this restriction. The scheme we presented can be viewed as a generalization of our scheme in [53]. So even though we give detailed explanation on how to implement the code and in particular on how to handle the rigid structure part, we keep the fluid and elastic structure part short and compact.…”

Section: The Fully Discrete Finite Element Schemementioning

confidence: 99%

“…Other finite element methods for FSI use fluid meshes that follow the motion of the flexible fluid-structure interfaces. They can be either partitioned (see, for example, [45,12,25,29,27,2,26,36,32]) or monolithic (see, for example, [37,63,62,38,11,57,5,20,69,70,52,53,73]). …”

Section: Introductionmentioning

confidence: 99%

“…We can handle elastic and rigid structures together because we observe that Euler's formulation of rigid structure dynamics naturally fits into the finite element framework (see Lemma 1). This enables us to use the combined field formulation proposed in [52] and generalize the scheme in [53]. In [53], we are only able to consider elastic structures which undergo "passive deformations".…”

Section: Introductionmentioning

confidence: 99%

“…This enables us to use the combined field formulation proposed in [52] and generalize the scheme in [53]. In [53], we are only able to consider elastic structures which undergo "passive deformations". By adding rigid structures into the system, we have a way to introduce "active motion" into the fluid-structure system.…”

Section: Introductionmentioning

confidence: 99%

“…Like in [52,53], our scheme gains its efficiency from its explicit interface advancing. By doing that, the computation of fluid domain position and the computation of other fluid-structure variables are decoupled.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

Liu

2015

Computers & Fluids

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Section: The Fully Discrete Finite Element Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

Liu

2015

Computers & Fluids

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Coupling schemes for the FSI forward prediction challenge: Comparative study and validation

Landajuela

Vidrascu

Chapelle

et al. 2016

Numer Methods Biomed Eng

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This paper presents a numerical study in which several partitioned solution procedures for incompressible fluid-structure interaction are compared and validated against the results of an experimental fluid-structure interaction benchmark. The numerical methods discussed cover the three main families of coupling schemes: strongly coupled, semi-implicit, and loosely coupled. Very good agreement is observed between the numerical and experimental results. The comparisons confirm that strong coupling can be efficiently avoided, via semi-implicit and loosely coupled schemes, without compromising stability and accuracy. Copyright © 2016 John Wiley & Sons, Ltd.

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New iterative and staggered solution schemes for incompressible fluid‐structure interaction based on Dirichlet‐Neumann coupling

Dettmer

Lovrić

Kadapa

et al. 2020

Numerical Meth Engineering

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In the presence of strong added mass effects, partitioned solution strategies for incompressible fluid-structure interaction are known to lack robustness and computational efficiency. A number of strategies have been proposed to address this challenge. However, these strategies are often complicated or restricted to certain problem classes and generally require intrusive modifications of existing software. In this work, the well-known Dirichlet-Neumann coupling is revisited and a new combined two-field relaxation strategy is proposed. A family of efficient staggered schemes based crucially on a force predictor is formulated alongside the classical iterative approach. Both methodologies are rigorously analyzed on the basis of a linear model problem derived from a simplified fluid-conveying elastic tube. The investigation suggests that both the robustness and the efficiency of a partitioned Dirichlet-Neumann coupling scheme can be improved by a relatively small nonintrusive modification of a standard implementation. The relevance of the model problem analysis for finite element-based computational fluid-structure interaction is demonstrated in detail for a submerged cylinder subject to an external force.

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A stable second-order scheme for fluid–structure interaction with strong added-mass effects

Cited by 54 publications

References 32 publications

A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations

Coupling schemes for the FSI forward prediction challenge: Comparative study and validation

New iterative and staggered solution schemes for incompressible fluid‐structure interaction based on Dirichlet‐Neumann coupling

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