Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-structure Interaction Problem

Siamak Amini, Paul J. Harris et David T. Wilton

ISBN 10: 3540555625 / ISBN 13: 9783540555629

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992

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Ancien livre de bibliothèque. Légères traces d'usure sur la couverture. Edition 1992. Tome 77. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Slight signs of wear on the cover. Edition 1992. Volume 77. Ammareal gives back up to 15% of this item's net price to charity organizations. Seller Inventory # E-563-444

Bibliographic Details

Title: Coupled Boundary and Finite Element Methods ...

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Publication Date: 1992

Binding: Softcover

Condition: Bon

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Synopsis:

This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The particular approach adopted here involves an arbitrary coupling parameter and the effect that this parameter has on the stability and accuracy of the numerical method used to solve the integral equation is examined. The boundary integral analysis of the exterior acoustic problem is coupled with a finite element analysis of the elastic structure in order to investigate the interaction between the dynamic behaviour of the structure and the associated acoustic field. Recently there has been some controversy over whether or not the coupled problem also suffers from the non-uniqueness problems associated with the classical integral equation formulations of the exterior acoustic problem. This question is resolved by demonstrating that .the solution to the coupled problem is not unique at the characteristic frequencies and that it is necessary to employ an integral equation formulation valid for all frequencies.