Multigrid method for a vortex breakdown simulation
Abstract
An inviscid model for a steady axisymmetric flow with swirl was studied. The governing equation is a nonlinear elliptic equation which has more than one solution for a certain range of the swirl parameter. The physically interesting solutions have closed streamlines that look like vortex breakdown (bubble-like solutions). A multigrid method is used to find these solutions. Using an FMG algorithm (nested iteration), the problem is solved in just a few multigrid cycles.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- May 1986
- Bibcode:
- 1986STIN...8626547T
- Keywords:
-
- Algorithms;
- Branching (Mathematics);
- Computational Fluid Dynamics;
- Elliptic Functions;
- Flow Stability;
- Steady Flow;
- Vortex Breakdown;
- Boundary Value Problems;
- Least Squares Method;
- Navier-Stokes Equation;
- Fluid Mechanics and Heat Transfer