The liquid dynamics in partially filled circular tanks has been studied by numerically solving the natural frequencies and transient liquid motion. The governing equations for liquid in tanks are based on the potential flow theory. Instead of direct discretization in the 2D circular area, the governing equations are rearranged in such a way that the discretization is performed in a fixed square area by continuous coordinate mappings to overcome the difficulties in dealing with the boundary conditions on the circular edge and the free surface. The natural frequencies of liquid sloshing in partially filled circular tanks are determined by solving generalized eigenvalue problem of liquid under different fill levels. Transient liquid motion is simulated when the tank is subjected to motion in the lateral direction, which is represented by different prescribed lateral accelerations. The forces caused by the change of liquid pressure on the tank walls are calculated.

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