COMPUTING SHOCK WAVES IN CLOUD CAVITATION

This paper presents a numerical investigation of some of the phenomena involved in We nonlanear dynamrcs of a homogeneous bubbig mixture bounded bp an oscillatory wall. This problem represen & an idealimt%on of the flow in a typical vibratory cavitation damage device. Resdta are presented showing that wave steepening and ultimately shock wave fornation occw as the magnitude of the excitation i n c w e s. The propagation characteristzcs of the waves through the bubbly medaum have also been studied. Strong pressure p & of short duration, corresponding to the coherent collapse of the bubble clusters, are wmputed and accurately resolved, both in space and time. As the amplitude of the excitation is increcued a series of period doubling bzfumtiuns occurs. The nonlinear dynamics of the oscillating bubble cluster ore o b s w d to follow a subharmonic route to chaos. 1