The application of the method of fundamental solutions to a simulation of the two-dimensional sloshing phenomenon

Kołodziej, Jan; Mierzwiczak, Magdalena

doi:10.2140/jomms.2008.3.1087

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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

Vol. 3, No. 6, 2008

Jan Adam Kołodziej and Magdalena Mierzwiczak

Abstract

Keywords

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Authors