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

A method is described that allows the simulation of the flow of an incompressible fluid through rotary displacement pumps. The two-dimensional incompressible Navier–Stokes equations in arbitrary Lagrangian–Eulerian formulation are discretized on a triangular grid using a finite-volume method. Fully implicit time integration makes the method stable for any time step. Central 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.