Accession Number : ADA113912

Title :   Comparison of Parabolized Vorticity and Navier-Stokes Solutions in a Mildly Nonorthogonal Coordinate System.

Descriptive Note : Technical memo.,


Personal Author(s) : Hoffman,G H

PDF Url : ADA113912

Report Date : 17 Feb 1982

Pagination or Media Count : 34

Abstract : Two-dimensional, steady, incompressible, laminar flow in a diffuser and nozzle is considered as a model problem. A sheared mapping is used to provide a rectangular, wall-fitted, computational domain. This transformation produces a mildly nonorthogonal coordinate system in which the Navier-Stokes equations and parabolized vorticity approximation are solved. The discretization uses fourth-order accurate polynomial splines to resolve the wall boundary layer with a relatively sparse grid and standard finite differences in the main stream direction. The spline-finite difference equations are solved by line relaxation and Newton-Raphson iteration. Comparison of Navier-Stokes and parabolized vorticity results are presented for two diffusers (both with separation and reattachment of the boundary layer) and one nozzle flow. The parabolized and Navier-Stokes solutions are found to be in excellent agreement. Comparisons with a published parabolized result are also given. (Author)

Descriptors :   *Diffusers, *Nozzle gas flow, *Vortices, Navier Stokes equations, Laminar flow, Two dimensional flow, Mapping(Transformations), Coordinates, Parabolas, Solutions(General), Splines(Geometry), Finite difference theory, Relaxation, Convergence, Friction, Walls, Coefficients

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE