Numerical solution of transonic stream function equation
Abstract
The stream function equation, in conservation form, looks similar to the full potential equation and existing methods (e.g. artificial compressibility) can be readily applied. Rotational flows can be calculated once the vorticity (due to shocks or nonuniformity) is evaluated. There are, however, two main difficulties: First, the density is not uniquely determined in terms of the flux (there are two solutions; the subsonic and the supersonic branch with a square root singularity at the sonic point). Methods to overcome this difficulty are studied and results are presented with some remarks on inviscid separation and closed stream lines. Second, the need of two stream functions for three dimensional calculations is briefly discussed.
 Publication:

5th Computational Fluid Dynamics Conference
 Pub Date:
 1981
 Bibcode:
 1981cfd..conf..364H
 Keywords:

 Computational Fluid Dynamics;
 Stream Functions (Fluids);
 Three Dimensional Flow;
 Transonic Flow;
 Two Dimensional Flow;
 Vortices;
 Algorithms;
 Boundary Layer Separation;
 Conservation Laws;
 Cylindrical Bodies;
 Flow Distortion;
 Inviscid Flow;
 Multiphase Flow;
 Potential Flow;
 Variational Principles;
 Fluid Mechanics and Heat Transfer