Accession Number : ADP000987

Title :   Solution of Viscous Internal Flows on Curvilinear Grids Generated by the Schwarz-Christoffel Transformation,


Personal Author(s) : Anderson,O. L. ; Davis,R. T. ; Hankins,G. B. ; Edwards,D. E.

Report Date : 1982

Pagination or Media Count : 18

Abstract : A method is presented for combining an accurate orthogonal curvilinear coordinate generation procedure with a fast, accurate, and stable forward marching viscous flow solution technique to solve for the flow field in arbitrary axisymmetric ducts. In this method, the coordinates are generated from the plane potential flow streamlines and potential lines using the Schwarz-Christoffel transformation with a composite finite difference formula which is valid everywhere and which treats the poles exactly by analytic integration. Since the coordinate streamlines approximate the actual streamlines, the equations of motion for viscous compressible flow can be parabolized so as to solve for both the boundary layers and core flow in a single streamwise pass. The versatility of the method is demonstrated by two examples of viscous compressible swirling flow through complex radial gas turbine passages. (Author)

Descriptors :   *Grids(Coordinates), *Viscous flow, *Transformations(Mathematics), Methodology, Finite difference theory, Equations of motion, Boundary layer flow, Flow fields, Compressible flow, Fluid mechanics, Computations, Gas turbines, Axisymmetric, Ducts, Duct inlets, Reynolds number, Turbomachinery

Distribution Statement : APPROVED FOR PUBLIC RELEASE