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Nonlinear modeling of liquid sloshing in a moving rectangular tank
Authors:M Serdar Celebi  Hakan Akyildiz
Institution:Istanbul Technical University, Faculty of Naval Architecture and Ocean Engineering, 80626, Maslak, Istanbul, Turkey
Abstract:A nonlinear liquid sloshing inside a partially filled rectangular tank has been investigated. The fluid is assumed to be homogeneous, isotropic, viscous, Newtonian and exhibit only limited compressibility. The tank is forced to move harmonically along a vertical curve with rolling motion to simulate the actual tank excitation. The volume of fluid technique is used to track the free surface. The model solves the complete Navier–Stokes equations in primitive variables by use of the finite difference approximations. At each time step, a donor–acceptor method is used to transport the volume of fluid function and hence the locations of the free surface. In order to assess the accuracy of the method used, computations are verified through convergence tests and compared with the theoretical solutions and experimental results.
Keywords:Sloshing  Free surface flow  Navier–  Stokes equations  Volume of fluid technique  Moving rectangular tank  Vertical baffle  Finite difference method
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