An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions

In this paper we describe an adaptive Cartesian grid method for modeling timedependent inviscid compressible ow in irregular regions. In this approach a body is treated as an interface embedded in a regular Cartesian mesh. The single grid algorithm uses an unsplit second-order Godunov algorithm followed by a corrector applied to cells at the boundary. The discretization near the uid-body interface is based on a volume-ofuid approach with a redistribution procedure to maintain conservation while avoiding time step restrictions arising from small cells where the boundary intersects the mesh. The single grid Cartesian mesh integration scheme is coupled to a conservative adaptive mesh re nement algorithm that selectively re nes regions of the computational grid to achieve a desired level of accuracy. Examples showing the results of the combined Cartesian grid integration/adaptive mesh re nement algorithm for both twoand three-dimensional ows are presented. 2 (This page intentionally left blank) 3