Spline solutions of the incompressible parabolized Navier-Stokes equations in a mildly nonorthogonal coordinate system
Abstract
The character of the parabolized vorticity approximation is illustrated in light of its application to the two-dimensional, steady, incompressible laminar flow in a diffuser and nozzle. By using a sheared mapping to improve a boundary-fitted rectangular computational domain, a mildly nonorthogonal coordinate system is produced with discontinuous curvature at the map junctions. Numerical solutions are obtained for the parabolized vorticity approximation, the full Navier-Stokes equations, and the potential flow-boundary layer equations. Comparisons of parabolized vorticity results with Navier-Stokes and potential flow-boundary layer solutions are presented for three diffusers and one nozzle.
- Publication:
-
Computation of Internal Flows: Methods and Applications
- Pub Date:
- 1983
- Bibcode:
- 1983cifm.proc..109H
- Keywords:
-
- Computational Fluid Dynamics;
- Incompressible Flow;
- Navier-Stokes Equation;
- Nozzle Flow;
- Spline Functions;
- Vorticity Equations;
- Finite Difference Theory;
- Laminar Flow;
- Parabolic Differential Equations;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer