A NON-LINEAR ADAPTIVE FULL TRI-TREE MULTIGRID METHOD FOR THE MIXED FINITE ELEMENT FORMULATION OF THE NAVIER–STOKES EQUATIONS
✍ Scribed by Svenøivind Wille
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 348 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
The full adaptive multigrid method is based on the tri-tree grid generator. The solution of the Navier-Stokes equations is first found for a low Reynolds number. The velocity boundary conditions are then increased and the grid is adapted to the scaled solution. The scaled solution is then used as a start vector for the multigrid iterations. During the multigrid iterations the grid is first recoarsed a specified number of grid levels. The solution of the Navier-Stokes equations with the multigrid residual as right-hand side is smoothed in a fixed number of Newton iterations. The linear equation system in the Newton algorithm is solved iteratively by CGSTAB preconditioned by ILU factorization with coupled node fill-in. The full adaptive multigrid algorithm is demonstrated for cavity flow.