Abstract
A method is described that allows the simulation of the flow of an incompressible fluid through complex-shaped two-dimensional domains which move in any prescribed time-varying way. The incompressible Navier-Stokes equations in arbitrary Lagrangian–Eulerian form are discretized on a triangular grid by means of 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 provided for the discretization in two dimensions, with a collocated arrangement of pressure and velocity components as dependent variables. A description of the grid-generation process is given. Results are shown for the flow in a rotating-lobe pump.
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Riemselagh, K., Vierendeels, J. & Dick, E. Two-Dimensional Incompressible Navier-Stokes Calculations in Complex-Shaped Moving Domains. Journal of Engineering Mathematics 34, 57–73 (1998). https://doi.org/10.1023/A:1004307502383
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DOI: https://doi.org/10.1023/A:1004307502383