Finite element computations for unsteady fluid and elastic membrane interaction problems

Liang, Sheng-Kai; Neitzel, G. Paul; Aidun, Cyrus K.

doi:10.1002/(sici)1097-0363(19970615)24:11<1091::aid-fld520>3.0.co;2-q

Cited by 14 publications

(7 citation statements)

References 39 publications

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“…The simplification of the general equation clearly shows all the assumptions made in obtaining the simplified equation. Although various versions of the membrane equation have been used by other investigators (Liang et al, 1997;Smith and Shyy, 1996;Perry and Chong, 1980), the general equation developed here, and the subsequent analytical solution, seems to be missing in the published literature.…”

Section: Introductionmentioning

confidence: 99%

“…The test wings were made of thin sheet metals that were flexible to some extent, but not so flexible to be fully compliant to the airflow. Liang et al (1997) employed finiteelement method to determine the fluid-membrane interaction in a channel flow where a membrane made a portion of one wall. Experimental efforts of Galvao et al (2006) and Song and Breuer (2007) were intended to model membrane wings of flying mammals such as bats.…”

Section: Introductionmentioning

confidence: 99%

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Oscillatory motions of a prestrained compliant membrane caused by fluid–membrane interaction

Molki

Breuer

2010

Journal of Fluids and Structures

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Oscillatory motions of a prestrained compliant membrane caused by fluid–membrane interaction

Molki

Breuer

2010

Journal of Fluids and Structures

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“…The following references deal with solid membranes using surface formulations. In Liang et al (1997) the authors employ a deformable spatial domain space-time FEM to study the interaction of an incompressible fluid with an elastic membrane. Bletzinger et al (2006) compute the flow around a tent structure using a staggered coupling between a shell code and a CFD code.…”

Section: Introductionmentioning

confidence: 99%

A monolithic fluid–structure interaction formulation for solid and liquid membranes including free-surface contact

Sauer

Luginsland

2018

Computer Methods in Applied Mechanics and Engineering

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A unified fluid-structure interaction (FSI) formulation is presented for solid, liquid and mixed membranes. Nonlinear finite elements (FE) and the generalized-α scheme are used for the spatial and temporal discretization. The membrane discretization is based on curvilinear surface elements that can describe large deformations and rotations, and also provide a straightforward description for contact. The fluid is described by the incompressible Navier-Stokes equations, and its discretization is based on stabilized Petrov-Galerkin FE. The coupling between fluid and structure uses a conforming sharp interface discretization, and the resulting non-linear FE equations are solved monolithically within the Newton-Raphson scheme. An arbitrary Lagrangian-Eulerian formulation is used for the fluid in order to account for the mesh motion around the structure. The formulation is very general and admits diverse applications that include contact at free surfaces. This is demonstrated by two analytical and three numerical examples exhibiting strong coupling between fluid and structure. The examples include balloon inflation, droplet rolling and flapping flags. They span a Reynolds-number range from 0.001 to 2000. One of the examples considers the extension to rotation-free shells using isogeometric FE.

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“…More specifically those phenomena have been studied at first in one-dimensional models, see Lighthill [2] and Pedley [3]. Afterwards, two-dimensional plane models were developed, which are still accurate and useful [4][5][6][7][8][9][10][11][12][13][14][15][16]. However, the membrane is reduced to a string problem in all these studies.…”

Section: Introductionmentioning

confidence: 99%

Fluid flow of incompressible viscous fluid through a non-linear elastic tube

Lazopoulos

Tsangaris

2008

Arch Appl Mech

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The study of viscous flow in tubes with deformable walls is of specific interest in industry and biomedical technology and in understanding various phenomena in medicine and biology (atherosclerosis, artery replacement by a graft, etc) as well. The present work describes numerically the behavior of a viscous incompressible fluid through a tube with a non-linear elastic membrane insertion. The membrane insertion in the solid tube is composed by non-linear elastic material, following Fung's (Biomechanics: mechanical properties of living tissue, 2nd edn. Springer, New York, 1993) type strain-energy density function. The fluid is described through a Navier-Stokes code coupled with a system of non linear equations, governing the interaction with the membrane deformation. The objective of this work is the study of the deformation of a non-linear elastic membrane insertion interacting with the fluid flow. The case of the linear elastic material of the membrane is also considered. These two cases are compared and the results are evaluated. The advantages of considering membrane nonlinear elastic material are well established. Finally, the case of an axisymmetric elastic tube with variable stiffness along the tube and membrane sections is studied, trying to substitute the solid tube with a membrane of high stiffness, exhibiting more realistic response.Keywords Fluid flow · Elastic membrane · Nonlinear elastic material · Linear elastic material · Fluid flow membrane interaction A. Lazopoulos · S. Tsangaris (B) Fluids Section,

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Finite element computations for unsteady fluid and elastic membrane interaction problems

Cited by 14 publications

References 39 publications

Oscillatory motions of a prestrained compliant membrane caused by fluid–membrane interaction

Oscillatory motions of a prestrained compliant membrane caused by fluid–membrane interaction

A monolithic fluid–structure interaction formulation for solid and liquid membranes including free-surface contact

Fluid flow of incompressible viscous fluid through a non-linear elastic tube

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