A 3D boundary integral method for the electrohydrodynamics of surfactant-covered drops

Near-Contact Motion of Surfactant-Covered Spherical Drops: Ionic Surfactant.

A lubrication analysis is presented for near-contact axisymmetric motion of spherical drops covered with an insoluble nondiffusing surfactant. The surfactant equation of state is arbitrary; detailed results are presented for ionic surfactants. The qualitative behavior of the system is determined by the dimensionless force parameter &Fcirc;, the external force normalized by the maximum resistanc...

Boundary Integral Method for 3D Simulation of Foam Dynamics

A Boundary Integral Method (BIM) for simulation of foam formation and dynamics in viscous flows is presented. The main features of the numerical method are: Nonsingular contour integration of the singular single layer potential; Higher order approximation of the interface positions and the distance between the interfaces; Dynamic mesh regularization. Presented are also results of foam-drop form...

CAS WAVELET METHOD FOR THE NUMERICAL SOLUTION OF BOUNDARY INTEGRAL EQUATIONS WITH LOGARITHMIC SINGULAR KERNELS

In this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the Laplacian equation. Themethod is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis.This approach utilizes the non-uniform Gauss-Legendre quadrature rule for ...

The boundary integral method for magnetic billiards

We introduce a boundary integral method for two-dimensional quantum billiards subjected to a constant magnetic field. It allows to calculate spectra and wave functions, in particular at strong fields and semiclassical values of the magnetic length. The method is presented for interior and exterior problems with general boundary conditions. We explain why the magnetic analogues of the field-free...

The Boundary Integral Equation Method