Multigrid acceleration of a 2D full potential flow solver
Abstract
A full potential equation for a body-fitted coordinate system consisting of the streamlines and the equipotential-lines of the corresponding incompressible flow is formulated. Using a special shock operator, the discrete solution fulfills Prandtl's shock condition. The full potential flow model is discretized on a nonequispaced mesh, and special smoothing algorithms consisting of a combination of local, line, and column relaxations are employed. Convergence factors for one W-cycle of the algorithm are found to be below 0.1 for subsonic flows. It is noted that the convergence speed is not predictable for transonic flows due to an ill-posedness of the discretization.
- Publication:
-
University of Colorado and USAF
- Pub Date:
- April 1987
- Bibcode:
- 1987mume.conf.....B
- Keywords:
-
- Computational Fluid Dynamics;
- Computational Grids;
- Potential Flow;
- Run Time (Computers);
- Two Dimensional Flow;
- Algorithms;
- Data Smoothing;
- Incompressible Flow;
- Potential Theory;
- Prandtl Number;
- Subsonic Flow;
- Fluid Mechanics and Heat Transfer