A combined BEMFEM model for the velocityvorticity formulation of the NavierStokes equations in three dimensions
This paper describes a combined boundary element and finite element model for the solution of velocityvorticity formulation of the NavierStokes equations in three dimensions. In the velocityvorticity formulation of the NavierStokes equations, the Poisson type velocity equations are solved using the boundary element method (BEM) and the vorticity transport equations are solved using the finite element method (FEM) and both are combined to form an iterative scheme. The vorticity boundary conditions for the solution of vorticity transport equations are exactly obtained directly from the BEM solution of the velocity Poisson equations. Here the results of medium Reynolds number of up to 1000, in a typical cubic cavity flow are presented and compared with other numerical models. The combined BEMFEM model are generally in fairly close agreement with the results of other numerical models, even for a coarse mesh.
velocityvorticity formulation navierstokes equations boundary elements finite elements