Anisotropic mesh adaptivity for multi-scale ocean modelling

Research into the use of unstructured mesh methods in oceanography has been growing steadily over the past decade. The advantages of this approach for domain representation and non-uniform resolution are clear. However, a number of issues remain, in particular those related to the computational cost...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2009-11, Vol.367 (1907), p.4591-4611
Main Authors: Piggott, M. D., Farrell, P. E., Wilson, C. R., Gorman, G. J., Pain, C. C.
Format: Article
Language:English
Subjects:
Advection
Anisotropy
Approximation
Aspect ratio
Curvature
Error rates
Gyre
Gyres
Interpolation
Maximum value
Mesh Adaptivity
Ocean
Ocean circulation models
Oceans
Western Boundary Current
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Summary:Research into the use of unstructured mesh methods in oceanography has been growing steadily over the past decade. The advantages of this approach for domain representation and non-uniform resolution are clear. However, a number of issues remain, in particular those related to the computational cost of models produced using unstructured mesh methods compared with their structured mesh counterparts. Mesh adaptivity represents an important means to improve the competitiveness of unstructured mesh models, where high resolution is only used when and where necessary. In this paper, an optimization-based approach to mesh adaptivity is described where emphasis is placed on capturing anisotropic solution characteristics. Comparisons are made between the results obtained with uniform isotropic resolution, isotropic adaptive resolution and fully anisotropic adaptive resolution.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2009.0155