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The original cubic interpolated pseudo-particle combined unified procedure method has been improved by introducing the state equation of Tait form for the first time so as to present the real pressure-density relationship of complex bubbly water. Computational results of the 1D shock tube problem and the 2D shear driven cavity water flow have demonstrated its accuracy and validity for compressible and incompressible flow simulations. The method has been applied to the simulation of flow of an impulsively started submerged water jet. The computational result agrees with the experimental one of Gharib et al. The result shows that vortex rings are formed at the head of the jet and move forward as the jet flow develops. The total circulation of vortices increases linearly with the vortex formation time during the jet injection. The pressure is a minimum at vortex centers and increases sharply with increasing vortex radii. The cavitation inception index takes a minimum value at vortex centers located around the jet periphery.

An Improved CIP-CUP Method for Submerged Water Jet Flow Simulation.