Environmental & Ecological Modeling:Adaptive mesh refinement
Published: March 28, 2010, 12:00 am
Updated: December 23, 2011, 7:25 pm
This article has been reviewed by the following Topic Editor:
C Michael Hogan
Adaptive mesh refinement is a method for locally refining grids in finite difference ocean models. The basic idea behind the method is to attain a given accuracy for a minimum amount of work. This is done by computing estimates of the truncation error, and creating refined grids (or removing existing ones) where and when it is necessary. The approach is also recursive so that fine grids can contain even finer grids.
| This article is written at a definitional level only. Authors wishing to improve this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
Further Reading
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Physical Oceanography Index
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Berger, M. J.; Colella, P. (1989). "Local adaptive mesh refinement for shock hydrodynamics". J. Comput. Phys. (Elsevier) 82: 64–84.
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E. Blayo and L. Debreu. Adaptive mesh refinement for finite–difference ocean models: first experiments. JPO, 29:1239–1250, 1999. [For an initial application of this method to ocean circulation models]
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Citation
Steve Baum (Lead Author);C Michael Hogan (Topic Editor) "Adaptive mesh refinement". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth March 28, 2010; Last revised Date December 23, 2011; Retrieved May 22, 2013 <http://www.eoearth.org/article/Adaptive_mesh_refinement?topic=49534>
The Author
Assistant Research Scientist, Physical Section
Department of Oceanography
Texas A&M University ... (Full Bio)
Adaptive mesh refinement is a method for locally refining grids in finite difference ocean models. The basic idea behind the method is to attain a given accuracy for a minimum amount of work. This is done by computing estimates of the truncation error, and creating refined grids (or removing existing ones) where and when it is necessary. The approach is also recursive so that fine grids can contain even finer grids.
| This article is written at a definitional level only. Authors wishing to improve this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
Further Reading
-
Physical Oceanography Index
-
Berger, M. J.; Colella, P. (1989). "Local adaptive mesh refinement for shock hydrodynamics". J. Comput. Phys. (Elsevier) 82: 64–84.
-
E. Blayo and L. Debreu. Adaptive mesh refinement for finite–difference ocean models: first experiments. JPO, 29:1239–1250, 1999. [For an initial application of this method to ocean circulation models]
Are you absolutely sure you want to delete this article? This process cannot be undone and is permanent.
Yes, Delete This Article
Are you absolutely sure you want to remove this article? This process cannot be undone and is permanent.
Yes, Remove This Article
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