An arbitrary Lagrangian-Eulerian finite-volume method for the simulation of rotary displacement pump flow

A method is described that allows the simulation of the flow of an incompre ssible fluid through rotary displacement pumps. The two-dimensional incompr essible Navier-Stokes equations in arbitrary Lagrangian-Eulerian formulatio n are discretized on a triangular grid using a finite-volume method. Fully implicit time integration makes the method stable for any time step. Centra l differencing is used for the diffusive fluxes. Upwind differencing based on flux-difference splitting is used for the convective fluxes. A detailed description is given of the grid generation process. (C) 2000 IMACS. Publis hed by Elsevier Science B.V. All rights reserved.