UCL Discovery

Abstract

Computational approaches based on previous nonlinear theoretical findings are developed for a Composite system, the Navier-Stokes system, and the Euler system of equations, in turn, with applications to incompressible boundary-layer transition and dynamic stall. The emphasis is on schemes appropriate for medium-to-large Reynolds numbers, and so as a start the computations are kept to two spatial dimensions. The Composite scheme is developed first, including significant normal-pressure-gradient effects as suggested by the theory. The same scheme is then modified to accommodate, iteratively, the Navier-Stokes form and then the Euler form, for comparison. The agreement between the three sets of results tends to be very close in the parameter ranges studied. The necessary extensions of the work are also discussed.