Ft. Smith, COMPOSITE, NAVIER-STOKES AND ENTER UNSTEADY-FLOW COMPUTATIONS IN BOUNDARY-LAYERS, Journal of engineering mathematics, 30(3), 1996, pp. 307-320
Computational approaches based on previous nonlinear theoretical findi
ngs are developed for a Composite system, the Navier-Stokes system, an
d the Euler system of equations, in turn, with applications to incompr
essible boundary-layer transition and dynamic stall. The emphasis is o
n schemes appropriate for medium-to-large Reynolds numbers, and so as
a start the computations are kept to two spatial dimensions. The Compo
site scheme is developed first, including significant normal-pressure-
gradient effects as suggested by the theory. The same scheme is then m
odified to accommodate, iteratively, the Navier-Stokes form and then t
he Euler form, for comparison. The agreement between the three sets of
results tends to be very close in the parameter ranges studied. The n
ecessary extensions of the work are also discussed.