Recent developments in finite-volume time-dependent techniques for two and three dimensional transonic flows

Hyperbolic systems of partial differential equations governing inviscid and viscid flows are analyzed. A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms, and Runge Kutta time stepping schemes, are shown to yield effective method for solving the Euler equations in arbitrary geometric domains. Different types of acceleration techniques are discussed to improve convergence speed of explicit time dependent methods. Computational results ranging from viscid/inviscid airfoil flows to cascades, inlets, wings and wing-body configurations are presented. The formulation of the Kutta condition and flows with leading edge separation are emphasized.