Numerical computation of pressure in a rigid rectangular tank due to large amplitude liquid sloshing

In this study, sloshing inside partially filled enclosed baffled and unbaffled tanks was investigated. The fluid is assumed to be homogeneous, isotropic, viscous, and Newtonian and exhibiting only limited compressibility. Tank and fluid motions are assumed to be two-dimensional. A moving coordinate system is employed so that the tank movement is set to rest. The volume of fluid technique will, then, be used to track the free surface. The model solves the complete Navier-Stokes equations in primitive variables by the use of 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. Ten different cases including baffled and unbaffled tanks with different fill depths are studied near and on the resonant frequency. In order to assess the accuracy of the method used, computations are compared with theoretical and experimental results.