Solution of viscous internal flows on curvilinear grids generated by the SchwarzChristoffel transformation
Abstract
The combination of an orthogonal, curvilinear coordinate generation procedure with a stable forward marching viscous flow solution technique is presently employed in the solution of flow fields for arbitrary, axisymmetric ducts. Coordinate generation is accomplished by means of both potential lines and plane potential flow streamlines. Since the coordinate streamlines approximate actual ones, the equations of motion for viscous compressible flow can be parabolized in order to solve for both the boundary layer and the core flow in a single streamwise pass. The method's versatility is demonstrated by two examples of viscous compressible swirling flow through complex radial gas turbine passages.
 Publication:

Numerical Grid .eneration
 Pub Date:
 1982
 Bibcode:
 1982ngg..proc..507A
 Keywords:

 Computational Fluid Dynamics;
 Coordinate Transformations;
 Gas Turbine Engines;
 Grid Generation (Mathematics);
 SchwarzChristoffel Transformation;
 Spherical Coordinates;
 Viscous Flow;
 Compressible Flow;
 Equations Of Motion;
 Flow Distribution;
 Potential Flow;
 Swirling;
 Fluid Mechanics and Heat Transfer