Simulation of Cavitation Flows Around Axisymetric Bodies by the Boundary Element Method Using Re-Entrant Jet Model at the Closure of the Cavity

The main subject of this article is the simulation of the cavitation including partial and super cavitation over the axisymmetric bodies using a boundary element method (BEM) based on potential by re-entrant jet model in closure zone of cavity. Re-entrant jet model is one of the closure models of cavity which is in agreement with physics of unsteady cavitating flows. To simulate the cavitation region, cavity and body surfaces are modeled with plane panels. Then, by applying the integral expression of Green theory, cavitation can be modeled by distributing the source rings on cavity surfaces and dipole rings on cavity/body surfaces. The length of the cavity and re-entrant jet are assumed to be fixed as initial predictions. The cavitation number and shape of cavity are the main results of this simulation. Furthermore, the pressure coefficient in partial cavitation and drag coefficient in super cavitation are predicted. The comparison between these results with experimental and analytical ones show that simulation of partial cavitation using BEM with re-entrant jet model modified the overshoot -that exists in results of BEM simulation without using re-entrant jet model- at the end of the cavity pressure coefficient. The implemented BEM method with re-entrant jet in super cavitation led to very good results in prediction of cavity shape and drag coefficient. The main advantage of this method is shortening the time of the desirable convergence.