Boundary Element Analysis of Bubble Dynamics under a Floating Body : 2nd Report, Approximation Method with Spherical Bubble Model(Fluids Engineering)

A fast simulation method is proposed for underwater explosion. In the method, the motion of a bubble generated by the underwater explosion is modeled with a point source and a doublet; the source and doublet represent the radial motion and translational of the bubble, respectively. The bubble motions are solved coupling with the motions of free surface and a floating body by using the boundary element method (BEM). The growth and collapse of a bubble under a floating body is simulated with the present method. It is shown that the present results are in qualitative agreement with those obtained from the BEM without the bubble model in which the interfacial motion of a bubble is solved directly with the BEM. The present simulation is found to be about six times faster than the BEM simulation without the bubble model.