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A 3D AGGLOMERATION MULTIGRID SOLVER FOR THE REYNOLDS–AVERAGED NAVIER–STOKES EQUATIONS ON UNSTRUCTURED MESHES
Author(s) -
MAVRIPLIS D. J.,
VENKATAKRISHNAN V.
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19960930)23:6<527::aid-fld429>3.0.co;2-z
Subject(s) - multigrid method , polygon mesh , solver , convergence (economics) , mathematics , computational fluid dynamics , aerodynamics , reynolds number , computer science , navier–stokes equations , grid , mathematical optimization , computational science , mechanics , geometry , partial differential equation , mathematical analysis , physics , compressibility , turbulence , economics , economic growth
An agglomeration multigrid strategy is developed and implemented for the solution of three‐dimensional steady viscous flows. The method enables convergence acceleration with minimal additional memory overhead and is completely automated in that it can deal with grids of arbitrary construction. The multigrid technique is validated by comparing the delivered convergence rates with those obtained by a previously developed overset‐mesh multigrid approach and by demonstrating grid‐independent convergence rates for aerodynamic problems on very large grids. Prospects for further increases in multigrid efficiency for high‐Reynolds‐number viscous flows on highly stretched meshes are discussed.