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Multigrid techniques for the numerical solution of the diffusion equationAn accurate numerical solution of diffusion problems containing large local gradients can be obtained with a significant reduction in computational time by using a multigrid computational scheme. The spatial domain is covered with sets of uniform square grids of different sizes. The finer grid patterns overlap the coarse grid patterns. The finite-difference expressions for each grid pattern are solved independently by iterative techniques. Two interpolation methods were used to establish the values of the potential function on the fine grid boundaries with information obtained from the coarse grid solution. The accuracy and computational requirements for solving a test problem by a simple multigrid and a multilevel-multigrid method were compared. The multilevel-multigrid method combined with a Taylor series interpolation scheme was found to be best.
Document ID
19840061889
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Phillips, R. E.
(Pennsylvania State Univ. University Park, PA, United States)
Schmidt, F. W.
(Pennsylvania State University University Park, PA, United States)
Date Acquired
August 12, 2013
Publication Date
September 1, 1984
Publication Information
Publication: Numerical Heat Transfer
Volume: 7
ISSN: 0149-5720
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
84A44676
Funding Number(s)
CONTRACT_GRANT: NGT-39-009-802
Distribution Limits
Public
Copyright
Other

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