The hydrodynamic problems for water entry of wedges are studied by a constrained interpolation profile (CIP) based on Cartesian grid method. The CIP scheme was applied to the Cartesian grid based on flow solver, which was first described. The tangent of hyperbola for interface capturing (THINC) scheme was applied to capture the free surface. The CIP method was extended to capture the dynamics in the water entry approach. The simulations were performed in three aspects. First, pressure distributions for the wedges entering into water with constant speed were predicted, and the results were compared with the similarity solutions by the boundary element method (BEM). Then simulations were conducted for the free-falling wedges entering into water with one degree of freedom. The results were compared with the published experimental data. Finally, the impact of a wedge on the water surface in a free fall motion with an initial heel angle was studied. The motion of the wedge was subjected to three degrees of freedom, and the results were also compared with those of experiments.

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