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New multigrid approach for three-dimensional unstructured, adaptive gridsA new multigrid method with adaptive unstructured grids is presented. The three-dimensional Euler equations are solved on tetrahedral grids that are adaptively refined or coarsened locally. The multigrid method is employed to propagate the fine grid corrections more rapidly by redistributing the changes-in-time of the solution from the fine grid to the coarser grids to accelerate convergence. A new approach is employed that uses the parent cells of the fine grid cells in an adapted mesh to generate successively coaser levels of multigrid. This obviates the need for the generation of a sequence of independent, nonoverlapping grids as well as the relatively complicated operations that need to be performed to interpolate the solution and the residuals between the independent grids. The solver is an explicit, vertex-based, finite volume scheme that employs edge-based data structures and operations. Spatial discretization is of central-differencing type combined with a special upwind-like smoothing operators. Application cases include adaptive solutions obtained with multigrid acceleration for supersonic and subsonic flow over a bump in a channel, as well as transonic flow around the ONERA M6 wing. Two levels of multigrid resulted in reduction in the number of iterations by a factor of 5.
Document ID
19950053436
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Parthasarathy, Vijayan
(Univ. of Texas, Austin, TX United States)
Kallinderis, Y.
(Univ. of Texas, Austin, TX United States)
Date Acquired
August 16, 2013
Publication Date
May 1, 1994
Publication Information
Publication: AIAA Journal
Volume: 32
Issue: 5
ISSN: 0001-1452
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
95A85035
Funding Number(s)
CONTRACT_GRANT: DABT-63-92-0042
CONTRACT_GRANT: NAG1-1459
Distribution Limits
Public
Copyright
Other

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