A BEM-BDF scheme for curvature driven moving Stokes flows
Stokes flows with moving boundaries have been solved by using integral formulations. The numerical solution will be obtained by applying a boundary element method. At each time step the boundary deformation has to be performed. Difficulties appear because the boundary conditions include the accurate computation of the curvature. Furthermore, the boundary may undergo large distortions during the deformation and this leads to numerical inaccuracies in the calculation. In this paper a numerical integration technique to solve the motion of a certain class of Stokes flow, where the fluid is driven only by the boundary curvature, is presented. Finally, a system of nonlinear ordinary differential equations is obtained. It turns out that in many cases these differential equations are stiff. Therefore a complicated time step integration procedure has been introduced. As an example, the evolution problem of viscous sintering has been discussed. The viscous sintering process occurs when a porous pure glass is heated such that the glass becomes a viscous fluid. The flow causes densification of the glass.
scientific article; zbMATH DE number 819427