1. A nonconforming finite element method for fluid–structure interaction problems
- Author
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Swim, E.W. and Seshaiyer, P.
- Subjects
- *
FINITE element method , *LAGRANGE equations , *NUMERICAL analysis , *APPROXIMATION theory - Abstract
Abstract: 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. [Copyright &y& Elsevier]
- Published
- 2006
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