Solution of moving-boundary problems by the spectral element method

Solution of moving-boundary problems by the spectral element method

This paper describes a novel numerical model aiming at solving moving-boundary problems such as free-surface flows or fluid-structure interaction. This model uses a moving-grid technique to solve the Navier–Stokes equations expressed in the arbitrary Lagrangian-Eulerian kinematics. The discretization in space is based on the spectral element method. The coupling of the fluid equations and the m...

Solidification Problems by the Boundary Element Method

This paper elaborates on the analysis and design of the solidification of pure metais. In the first part of this paper, a direct analysis is presented for the motion of the solid-Iiquid freezing interface and the time-dependent temperature field. An iterative implicit algorithm has been developed for this purpose using the boundary element method (BEM) with time dependent Green’s functions and ...

Adaptive nite element–boundary element solution of boundary value problems

An adaptive nite element–boundary element algorithm is proposed to compute an approximate solution of a given boundary value problem. The convergence in H ( ) is controlled by a boundary element based a-posteriori error estimator from which an adaptive re nement strategy is derived. Corresponding error estimates are given based on appropriate boundary element error estimates in negative Sobolev...

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems