Moving Geometries and Viscous Flows Using Embedded-boundary Cartesian Grids

摘要

We describe steps taken towards the development of an embedded boundary method for discretizing the Navier Stokes equations in complex geometry. New discretizations were developed and tested for use at cut cells and at mesh interfaces. A multigrid mesh coarsening algorithm was developed to accelerate convergence of the solution to steady state. Comparisons with several standard test cases from the literature were performed. This is preliminary work in two space dimensions towards our goal of extending Cart3D to be able to simulate three-dimensional viscous flows.