Calculation of internal flows using a single-pass, parabolized Navier-Stokes analysis

A single-pass, subsonic parabolized Navier-Stokes (PNS) procedure is developed to analyze three-dimensional viscous internal flows. Elliptic effects are incorporated by initializing the PNS code with the streamwise pressure gradient distribution obtained from a coarse grid Euler calculation. When the Euler code incorporates the transport of a ‘viscous-like’ inlet vorticity profile, the rotational inviscid pressure distribution provides a good initialization for the single-pass PNS procedure. Computed primary flow velocities for laminar flow in a curved duct of square cross section agree well with experimental data.