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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Vydáno v:Computer methods in applied mechanics and engineering Ročník 195; číslo 17; s. 2088 - 2099
Hlavní autoři: Swim, E.W., Seshaiyer, P.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.03.2006
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2005.01.017