Abstract
A pressure-based algorithm for incompressible flows is presented. The algorithm employs a finite-volume discretization in general curvilinear coordinates on an unstaggered mesh. This approach is derived from a Finite Element (FEM) algorithm, and is here extended to the finite volume (FVM) context. The algorithm can be classified as a SIMPLER-like sequential method, and has already been validated for confined flow. The Beam and Warming discretization is adopted for the momentum equation. The pressure Poisson equations are derived from the continuous equations and are discretized by means of standard FV approach. The treatment of open boundaries is discussed on detail and is validated in a classical test case: the laminar flow over a backward facing step. Good results, with no pressure checkerboarding, are achieved up to Re=800.
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