Abstract: The isoAdvector method is a new geometric volume of fluid (VOF) method. It overcomes the difficulties that the traditional geometric VOF methods cannot be applied on arbitrary polyhedral meshes. However, the isoAdvector method cannot be directly applied to sloshing simulations which involve the dynamic mesh technique. Thus, the motion flux correction is introduced, and the velocity correction for face-interface intersection line is proposed. The modified isoAdvector method can then be applied to the sloshing simulations. The non-resonant and the resonant sloshing under forced excitations and the single impace wave are simulated based on different VOF methods, and the results are compared with the experiments and the analytical solution. It demonstrates that the modified isoAdvector method can provide more accurate positions of the free surface and the hydrodynamic loads than the algebraic VOF method. In addition, the wave overturning and breaking can be predicted well without the wrinkles on the wave surface by using the modified isoAdvector method. A new approach for evaluating the interface thickness is proposed to analyze the reason for the improvement of the accuracy of free-surface elevations.

Key words: sloshing; sharp interface; geometric volume of fluid (VOF); face-interface intersection line