Numerical treatment of parabolic three dimensional cascade flow. Flow modeling and computational experiments
Abstract
A method of solution for three dimensional cascade flow is illustrated. The flow is assumed laminar and incompressible. The governing equations consist of three equations of motion, an energy equation, and a continuity equation. The addition of the energy equation results in easier and numerically more stable handling by the proposed method of solution, and allows for eventual computation of compressible flows. As the calculation of reverse flow is not included, the governing equations are parabolized in the downstream direction. The downstream pressure gradient is iteratively corrected by permanent control of the overall mass flow. The choice of a nonorthogonal, curvilinear coordinate system makes it possible to accommodate different cascade contours.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1980
 Bibcode:
 1980STIN...8124408G
 Keywords:

 Cascade Flow;
 Computational Fluid Dynamics;
 Difference Equations;
 Flow Theory;
 Three Dimensional Flow;
 Flow Distribution;
 Flow Equations;
 Numerical Stability;
 Parabolic Differential Equations;
 Pressure Gradients;
 Run Time (Computers);
 Fluid Mechanics and Heat Transfer