An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions* RICHARD 13. PEMBER AND JOliN

In this paper we describe an adaptive Cartesian grid method for modeling time-dependent inviscid compressible flow 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 celis at the boundary. The discretization near the fluidbody interface is based on a volume-of-fluid 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 refinement algorithm that selectively refines regions of the computational grid to achieve a desired level of accuracy. Examples showing the results of the combined Cflrtesian grid integration/adaptive mesh refinement algorithm for both twoand three-dimensional flows are presented. :f:\ 1995 Academic p!CS~, Illc.