Abstract
A three-dimensional (3-D) mesh embedding algorithm for the Navier-Stokes equations is presented. An upwind control volume discretization is used to maintain accuracy and stability at the embedding interfaces. With minor restrictions on cell shape, fluxes are also conserved across the interfaces. The hanging nodes on the interfaces are treated implicitly to avoid internal boundaries in the flow that would degrade the rate of convergence. The embedded mesh solver is used to model 90 and 30° cylindrical film-cooling holes ingesting flow from a parallel-sided duct at low-, medium- and high-suction ratios. Adaptation of the mesh to the flow solution is used to improve the resolution of high-gradient regions. The influences of the inclination angle and suction ratio on the flow and heat transfer in the vicinity of the hole and on the hole discharge coefficient are modelled and compared with reported experimental measurements.
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