A cell-centered adaptive projection method for the incompressible Euler equations

We present an algorithm to compute adaptive solutions for incompressible fl ows using block-structured local refinement in both space and time. This me thod uses a projection formulation based on a cell-centered approximate pro jection. which allows the use of a single set of cell-centered solvers. Bec ause of refinement in time, additional steps are taken to accurately discre tize the advection and projection operators at grid refinement boundaries u sing composite operators which span the coarse and refined grids. This ensu res that the method is approximately freestream preserving and satisfies an appropriate form of the divergence constraint. (C) 2000 Academic Press.