Application of Complex Variable BEM for solving 2D sloshing problems

• Main Authors: Lan-Der Wang, 王廉德
• Other Authors: Wei-chung Yeih
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/04594930158632973697

碩士 === 國立臺灣海洋大學 === 河海工程學系 === 95 === This dissertation studies the application of Complex Variable BEM method to simulate sloshing phenomenon of fluid in a two-dimensional vessel. When a vessel containing the fluid is oscillated in the horizontal direction by external force, waves occur and the free surface of fluid varies, such a phenomenon is called as sloshing. If the fluid is considered as ideal one, the governing equation is the Laplace equation for every time step and can be solved with adequate boundary conditions to determine the potential value and its derivatives on the fluid surface. The free surface velocity potential, free surface profile and boundary conditions on the boundary should be updated at every time step. Associated physical quantities can be further obtained from the potential and its derivatives. The Complex Variable BEM method is adopted to simulate two-dimensional sloshing phenomenon and two different-shaped vessels are examined to check the validity of the current approach.