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Non-singular boundary integral methods for fluid mechanics applications

Published online by Cambridge University Press:  07 March 2012

Evert Klaseboer ,
Qiang Sun  and
Derek Y. C. Chan
Evert Klaseboer*
Affiliation:
Institute of High Performance Computing, 1 Fusionopolis Way, 138632, Singapore
Qiang Sun*
Affiliation:
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore
Derek Y. C. Chan
Affiliation:
Department of Mathematics and Statistics, The University of Melbourne, Parkville 3010 VIC, Australia Faculty Life and Social Sciences, Swinburne University of Technology, Hawthorn 3122 VIC, Australia
*
†Email addresses for correspondence: evert@ihpc.a-star.edu.sg, qiang.sun@hotmail.com
†Email addresses for correspondence: evert@ihpc.a-star.edu.sg, qiang.sun@hotmail.com
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Abstract

A formulation of the boundary integral method for solving partial differential equations has been developed whereby the usual weakly singular integral and the Cauchy principal value integral can be removed analytically. The broad applicability of the approach is illustrated with a number of problems of practical interest to fluid and continuum mechanics including the solution of the Laplace equation for potential flow, the Helmholtz equation as well as the equations for Stokes flow and linear elasticity.

JFM classification

Low-Reynolds-number flows: Boundary integral methods
Type
Papers
Information
Journal of Fluid Mechanics , Volume 696 , 10 April 2012 , pp. 468 - 478
Copyright
Copyright © Cambridge University Press 2012

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