Newton solution of coupled Euler and boundary layer equations.

A method is presented for the rapid and robust solution of strongly coupled viscous/inviscid flow interactions. The inviscid solver is a Newton solution of a finite volume formulation of the Euler equations. The viscous solver is a compressible laminar/turbulent integral method. Unlike coupling schemes which iterate between the inviscid and viscous solvers, the method presented incorporates the viscous solver directly into the Newton solver such that both the inviscid and viscous linearizations are solved simultaneously. Results are presented for: (1) a high work turbine cascade with a transitioning separation bubble on the pressure surface; (2) RAE 2822 transonic airfoil with a shock boundary layer interaction; (3) NLR 7301 supercritical airfoil. (A)