Dynamics of charged and conducting drops via the hybrid finite-boundary element method


Pelekasis N.A., Tsamopoulos J.A.


A numerical study on the dynamic behaviour of a charged and conducting drop, with net electrical charge Q, is presented here, that is valid for arbitrary initial disturbances. It employs the integral form of Laplace’s equation for the calculation of the velocity and electrostatic potentials, which only requires discretization and solution on the surface of the drop. Thus a hybrid method results with the integral equations solved via the boundary element technique, while the Galerkin finite element formulation is used for the kinematic and dynamic condition at the interface as well as for the net charge conservation equation. Recently, the authors followed this approach in their study on the free nonlinear oscillations of inviscid drops, and they were able to optimize time and space discretization as well as the treatment of the integral equation with excellent results. © 1995.


boundary element method, charged drop dynamics, coupled field problems, free surface flows, Hybrid methods

DOI: 10.1016/0955-7997(95)00038-P