Research Article
Apr 1982
Boundary Element Analysis of Fluid Domain
Authors: Youssef G. Hanna and Jagmohan L. HumarAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 108, Issue 2
Abstract
The boundary element method of analysis is applied to the calculation of hydrodynamic pressures in a reservoir impounded by a gravity dam and subjected to a harmonic ground motion., It is shown that the differential equation governing the small amplitude vibrations of the reservoir reduces to the familiar Helmholtz equation. This equation is converted to an integral equation which involves integrations only on the boundary of the reservoir. The integrals are evaluated numerically by using a series of straight line elements to represent the boundary. The resulting simultaneous equations are solved by standard techniques to obtain the pressures and pressure derivations on the boundary. Analytical results are presented to show that the proposed method gives results that are in good agreement with the known classical solutions. The method is then applied to the solution of vibration problems of reservoirs with irregular boundaries for which classical solutions do not exist. The method is also successful in dealing with cases of infinite reservoirs and in modelling the energy loss in the waves moving to the infinity.
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Published In
Journal of the Engineering Mechanics Division
Volume 108 • Issue 2 • April 1982
Pages: 436 - 450
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Apr 1982
Published online: Feb 3, 2021
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Authors
Affiliations
Youssef G. Hanna
Grad. Student, Dept. of Civ. Engrg., Carleton Univ., Ottawa, Ontario, Canada
Jagmohan L. Humar
Assoc. Prof., Dept. of Civ. Engrg., Carleton Univ., Ottawa, Ontario, Canada
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.