Semi-implicit formulation of the immersed finite element method

Wang, Xingshi; Wang, Chu; Zhang, Lucy T.

doi:10.1007/s00466-011-0652-z

Cited by 37 publications

(51 citation statements)

References 31 publications

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“…Since the artificial fluid overlaps with the solid domain, the indicator field must be updated along with the motion of the solid. More information of the indicator function and its detailed calculation can be found in [39-41]. …”

Section: Review Of the Immersed Finite Element Methodsmentioning

confidence: 99%

“…Such realistic material representations are particularly useful when large deformation or movement of the material must be realized and its affected hydrodynamics are altered through interactions with the surrounding fluid. A semi-implicit two-way coupling algorithm [39] is later developed. As a result of the semi-implicit coupling, the numerical difficulty dealing with large fluid-solid density difference is resolved.…”

Section: Introductionmentioning

confidence: 99%

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Modified immersed finite element method for fully-coupled fluid–structure interactions

Wang

Zhang

2013

Computer Methods in Applied Mechanics and Engineering

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In this paper, we develop a “modified” immersed finite element method (mIFEM), a non-boundary-fitted numerical technique, to study fluid-structure interactions. Using this method, we can more precisely capture the solid dynamics by solving the solid governing equation instead of imposing it based on the fluid velocity field as in the original immersed finite element (IFEM). Using the IFEM may lead to severe solid mesh distortion because the solid deformation is been over-estimated, especially for high Reynolds number flows. In the mIFEM, the solid dynamics is solved using appropriate boundary conditions generated from the surrounding fluid, therefore produces more accurate and realistic coupled solutions. We show several 2-D and 3-D testing cases where the mIFEM has a noticeable advantage in handling complicated fluid-structure interactions when the solid behavior dominates the fluid flow.

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Section: Review Of the Immersed Finite Element Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modified immersed finite element method for fully-coupled fluid–structure interactions

Wang

Zhang

2013

Computer Methods in Applied Mechanics and Engineering

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“…The results of this particular numerical example was reported in our previous study 41 using the semi-IFEM. Here, several cases are run using the same geometric setup so that the results from the mIFEM and the IFEM are compared.…”

Section: -D Leaflet In a Channelmentioning

confidence: 83%

“…41 In the semi-implicit algorithm, the interaction force f F SI s is re-defined in the solid domain, which only includes the internal forces for the fluid and solid from the original definition in Eq. (13), such that:…”

Section: Semi-implicit Fluid-structure Interaction Forcementioning

confidence: 99%

Modeling of coupled dynamics for fluid-structure interactions

Zhang¹,

Wang²,

Wang³

2013

j coupled syst multiscale dyn

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In this paper, we introduce a numerical technique that fully couples the dynamics between a fluid and its immersed structure in a fluid-structure interaction system. This technique is developed based on the original mathematical formulation of the immersed finite element method (IFEM). These IFEM methods are considered as non-boundary-fitted numerical scheme that meshes fluid and its embedded structures independently. This paper details the concepts and assumptions made in the original formulation and its improvement made through a semi-implicit algorithm to allow solving a wider range of fluid-structure interaction problems with large property disparities, and finally to the modified immersed finite element method (mIFEM) that entirely reverses the logic of the original formulation and re-formulates the interaction process between the solid and the fluid so that the dynamics solutions are more accurately captured without unrealistic solid element distortion.

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“…On an unfitted mesh, there is no clear boundary for the solid problem, so it is not easy to enforce the boundary condition and solve the solid equation. A wide variety of schemes have been proposed to address this issue, including the Immersed Finite Element Method (IFEM) [9,10,11,12,13] and the Fictitious Domain method (FDM) [14,15,16,17,18]. The IFEM de-40 veloped from the Immersed Boundary method first introduced by Peskin [19], and has had great success with applications in bioscience and biomedical fields.…”

mentioning

confidence: 99%

A one-field monolithic fictitious domain method for fluid–structure interactions

Wang

Jimack

Walkley

2017

Computer Methods in Applied Mechanics and Engineering

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In this article, we present a one-field monolithic fictitious domain (FD) method for simulation of general fluid-structure interactions (FSI). "One-field" means only one velocity field is solved in the whole domain, based upon the use of an appropriate L 2 projection. "Monolithic" means the fluid and solid equations are solved synchronously (rather than sequentially). We argue that the proposed method has the same generality and robustness as FD methods with distributed Lagrange multiplier (DLM) but is significantly more computationally efficient (because of one-field) whilst being very straightforward to implement. The method is described in detail, followed by the presentation of multiple computational examples in order to validate it across a wide range of fluid and solid parameters and interactions.

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Semi-implicit formulation of the immersed finite element method

Cited by 37 publications

References 31 publications

Modified immersed finite element method for fully-coupled fluid–structure interactions

Modified immersed finite element method for fully-coupled fluid–structure interactions

Modeling of coupled dynamics for fluid-structure interactions

A one-field monolithic fictitious domain method for fluid–structure interactions

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