Vol. 3, No. 6, 2008
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ISSN: 1559-3959
The application of the method of fundamental solutions to a simulation of the two-dimensional sloshing phenomenon

Jan Adam Kołodziej and Magdalena Mierzwiczak
Vol. 3 (2008), No. 6, 1087–1095
DOI: 10.2140/jomms.2008.3.1087
Abstract

This paper describes the application of the method of fundamental solutions (MFS) and the collocation method to the simulation of the sloshing phenomenon on an ideal fluid in a two-dimensional rectangular vessel. The phenomenon is governed by the Laplace equation with respect to the velocity potential. The equation is solved with nonlinear boundary conditions. The velocity potential is approximated by a linear superposition of fundamental solutions with the appropriate coefficients at each time step.
Keywords
method of fundamental solutions (MFS), collocation points, source points, substantive (material) derivative, sloshing phenomenon
Milestones
Received: 7 February 2008
Accepted: 28 April 2008
Published: 1 August 2008
Authors
Jan Adam Kołodziej
Institute of Applied Mechanics
Poznan University of Technology
ul. Piotrowo 3
60-965 Poznan
Poland
Magdalena Mierzwiczak
Institute of Applied Mechanics
Poznan University of Technology
ul. Piotrowo 3
60-965 Poznan
Poland