Numerical simulations of viscous fluid flows in air intakes at high angles of attack

Techniques are presented for finite element solution of the Navier-Stokes equations (NSE) for steady and unsteady flows of incompressible and compressible viscous fluid flows. A time-step discretization is performed in Hilbert space by means of a decomposition of operators. Two schemes are described for the decomposition, and applications with the NSE are developed to illustrate methods of separating the incompressibility and nonlinearity of the NSE. The models are extended to the case of compressible fluids, and results are provided from several two- and three-dimensional calculations for the flow into a jet engine intake duct at high angles of attack.