A boundary element regularized Stokeslet method applied to cilia- and flagella-driven flow

An analysis of the regularized stokeslet method ⋆

A regularized boundary integral equation for exterior Stokes flow around rigid bodies in three dimensions is studied. The formulation is based on a free-space solution of the Stokes equations with concentrated, but smooth forcing and involves two regularization parameters that control the behavior of the free-space solution and the conditioning of the integral equation. The smooth free-space so...

BOUNDARY ELEMENT METHOD APPLIED TO THE LIFTING BODIES NEAR THE FREE SURFACE

In this study, the boundary element method is formulated to evaluate hydrodynamic characteristics of bodies including free surface effect. The method is based on two equations, the perturbation potential boundary integral and the pressure Kutta condition, which are solved simultaneously. The method uses isoparametric elements for both quantity and geometric on the boundary. The method is first ...

Dual Boundary Element Method Applied to Antiplane Crack Problems

This paper is concerned with an efficient dual boundary element method for 2d crack problems under antiplane shear loading. The dual equations are the displacement and the traction boundary integral equations. When the displacement equation is applied on the outer boundary and the traction equation on one of the crack surfaces, general crack problems with anti-plane shear loading can be solved ...

The Hybrid Boundary Element Method Applied to Linear Fracture Mechanics

The hybrid boundary element method, a variational formulation introduced in 1987 by the first author, has proven to be a powerful tool for dealing with a great variety of problems of potential, elastostatics and elastodynamics. One of the most recent endeavors of the research team at PUC-Rio is the application of the method to problems of the linear elastic fracture mechanics. In the M.Sc. diss...

ICCAM 1998 International Congress on Computational and Applied Mathematics BOUNDARY ELEMENT METHOD FOR INTERNAL AXISYMMETRIC FLOW