Three-dimensional unsteady Euler equations solution on dynamic grids

An explicit upwind second-order accurate predictor-corrector finite-volume scheme is used to solve the unsteady three-dimensional Euler equations on a dynamic body-following grid. A method for calculating fluxes at cell faces that eliminates the upstream propagation of information in supersonic regions is presented. The unsteady Euler equations are solved for the prescribed motion of a body separating form a flat plate, and time-accurate aerodynamic forces on the body are compared with forces obtained by a quasisteady approximation.