A NON-LINEAR ADAPTIVE FULL TRI-TREE MULTIGRID METHOD FOR THE MIXED FINITE ELEMENT FORMULATION OF THE NAVIER-STOKES EQUATIONS

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...

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Vydané v:International journal for numerical methods in fluids Ročník 24; číslo 10; s. 1037 - 1047
Hlavný autor: Wille, Svenøivind
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Sussex John Wiley & Sons, Ltd 30.05.1997
Wiley
Predmet:
adaptive recoarsement
adaptive refinements
Computational methods in fluid dynamics
element Reynolds number
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
ILU coupled node fill-in preconditioner
Physics
tri-tree full multigrid
Finite element method
Multigrid
Refinement method
Iterative methods
Adaptive method
Preconditioning
Mesh generation
Navier-Stokes equations
ISSN:0271-2091, 1097-0363
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Shrnutí: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 demonstr ated for cavity flow. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 1037ndash;1047, 1997.
Bibliografia:istex:368A1BE22613C2903E3B8591985B66D759026C22
ArticleID:FLD529
ark:/67375/WNG-RZRGV6DL-S
The Norwegian Research Council - No. NN2461K
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0271-2091
1097-0363
DOI:10.1002/(SICI)1097-0363(19970530)24:10<1037::AID-FLD529>3.0.CO;2-P