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Study of free-surface seepage problems using hypersingular equations

✍ Scribed by Chen, Jeng-Tzong ;Hsiao, Chia-Chun ;Chiu, Yi-Ping ;Lee, Ying-Te

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
363 KB
Volume
23
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

Free‐surface boundary is not only unknown in a priori but also the boundary conditions are overspecified. In this paper, the Laplace problem with overspecified boundary conditions on the free surface is solved by using the hypersingular equation instead of singular equation used conventionally in boundary element method. The free surface can be determined using an iterative procedure starting from an initial guess. By introducing the hypersingular equation, the convergence rate of free surface can be accelerated. Finally, numerical examples including rectangular dams and canals were demonstrated and were compared with others to show the validity of the present method. Copyright Β© 2006 John Wiley & Sons, Ltd.

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