Improving a strongly coupled method for FSI by a simpleapproximation of the pressure tangentmatrix [Mejora de la solución fuertemente acoplada de problemas FSI mediante una aproximación de lamatriztangentedepresión]
Rossi R.,Center Internacional Of Metodes Numericsen Enginyeria Cimne |
Rossi R.,Polytechnic University of Catalonia |
Idelsohn S.,Center Internacional Of Metodes Numericsen Enginyeria Cimne |
Idelsohn S.,Catalan Institution for Research and Advanced Studies |
And 4 more authors.
Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria | Year: 2011
The interaction of fluids with surrounding structures constitutes a classical challenge for the different numerical techniques. The aim of current work is twofold: first we provide a simple theoretical explanation of the problems to be faced in incompressible FSI. Then we introduce and justify a new procedure for the solution of complex fluid-structure interaction problems. Such a new strategy is based on the introduction of an «interface Laplacian» at the coupling boundary. The idea is to consider the dependence between fluid pressure and structural velocity as a non linear problem for which a Quasi-Newton scheme is sought. The new interface term is then proved to be an approximation of the tangent matrix for such non-linear problem. In the derivation of this result we make use exclusively of discrete linear algebra. Finally, we prove the efficiency of the new approach showing its ability to tackle standard benchmark problems. © 2011 CIMNE (UPC). Published by Elsevier España, S.L. All rights reserved.