A nonconforming finite element method for fluid–structure interaction problems

In this paper, we develop a nonconforming finite element methodology using a three-field formulation to analyze a fluid–structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian–Eulerian strategy used to describe the fl...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 195; no. 17; pp. 2088 - 2099
Main Authors: Swim, E.W., Seshaiyer, P.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.03.2006
Subjects:
Arbitrary Lagrangian–Eulerian
Finite elements
Fluid–structure interaction
Nonconforming
Three-field
Finite elements
Arbitrary Lagrangian–Eulerian
Fluid–structure interaction
Nonconforming
Three-field
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:In this paper, we develop a nonconforming finite element methodology using a three-field formulation to analyze a fluid–structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian–Eulerian strategy used to describe the fluid in order to simulate a full unsteady physical phenomenon. Consistency error estimates are obtained which show that the numerical scheme employed yields a first order approximation for the solution to the fluid–structure interaction problem. Finally, we present a discrete energy estimate to demonstrate the stablity of the proposed method.
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content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2005.01.017