A Coordinate System for a Viscous Transonic Cascade Analysis.
Final rept. 12 May 75-11 May 76,
UNITED TECHNOLOGIES RESEARCH CENTER EAST HARTFORD CONN
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A coordinate system suitable for the numerical computation of viscous transonic cascade flows is constructed. The general cascade problem is discussed, and solution of the Navier-Stokes equations is determined to be an effective method of analysis for this problem. The representation of cascade geometries is discussed, and the use of coordinate transformation is adopted. Many of the difficulties associated with previous geometric representations are overcome with the construction of a new coordinate system which is especially tailored to the numerical simulation of viscous flows through a cascade of airfoils. Large gradients in the viscous shear layers are adequately resolved with a simple coordinate distribution function along the outward normal direction from the airfoil. An essential ingredient in the generation of the cascade coordinates is the conversion of discrete curve-like data into analytically defined curves which accurately reflect the overall geometry. For this purpose a least squares spline procedure is employed. The coordinate generation procedure accepts discrete input data representing the airfoil surface, places little restriction on the airfoil camber or spacing and is easily extended to three dimensions.
- Statistics and Probability
- Fluid Mechanics