High-Reynolds Number Viscous Flow Simulations on Embedded-Boundary Cartesian Grids
NEW YORK UNIV NY NEW YORK United States
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Over the grant period, we developed a two-dimensional viscous steady- state flow solver for both laminar and turbulent flow. We developed a way to incorporate wall functions in non-body fitted grids by having each cut cell spawn a linelet from the wall through the cut cell centroid, into the Cartesian grid. We developed a fully conservative method for coupling the wall function to the flow on the Cartesian grid. We extended the wall function into a more general wall model that solves a two point boundary value problem on the linelets. The bvp includes more terms than is typically used in the diffusion model, which is what standard wall functions are based on. The improved wall model on the linelets allow them to go further into the boundary layer, reducing the Cartesian resolution requirements and allowing coarser near-wall Cartesian cells. This work was in collaboration with Michael Aftosmis, at NASA Ames Research Center.
- Fluid Mechanics
- Operations Research