The jet impact from a collapsing bubble is an important mechanism of structural damage in underwater explosions and cavitation erosion. Boundary Integral Method (BIM) widely used to simulate nonspherical dynamic behaviors due its high accuracy efficiency. However, conventional BIM cannot toroidal dynamics, as the flow field transforms single-connected into double-connected. To overcome this pro...

The aim of the present paper is to associate a new symmetric boundary integral method to well known symmetric domain methods with the purpose of improving solutions of multi-eld problems with coupled boundary and domain methods. From a single-eld variational principle for a 3D linear, elastodynamic state a three-eld hybrid principle is developed by Hamiltons principle and decoupling displacemen...

a boundary integral method is used to simulate spilling breakers. the bottom is also included inthe introduced closed boundary and the problem is directly solved in the physical plane. the method has beenshown to be remarkably stable, and no numerical instability has occurred in any of the calculations. theresults reveal that both the momentum and total energy are almost constant in time during...

In this paper, we present an approximate method to solve the solution of the second kind Volterra integral equations. This method is based on a previous scheme, applied by Maleknejad ‎et al., ‎‎[K. Maleknejad ‎and Aghazadeh, Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method, ‎Appl. Math. Comput.‎ (2005)]‎ to gain...