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Anisotropic mesh adaptivity for multi-scale ocean modelling.

M D Piggott1, P E Farrell, C R Wilson

  • 1Department of Earth Science and Engineering, Imperial College London, London, UK. m.d.piggott@imperial.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 21, 2009
PubMed
Summary
This summary is machine-generated.

Unstructured mesh methods in oceanography can be computationally expensive. This study introduces an optimization-based mesh adaptivity approach to improve efficiency by focusing resolution where needed, especially for anisotropic features.

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Area of Science:

  • Oceanography
  • Computational Science
  • Numerical Modeling

Background:

  • Unstructured mesh methods offer advantages in oceanographic modeling for domain representation and non-uniform resolution.
  • A significant challenge is the high computational cost compared to structured mesh methods.
  • Mesh adaptivity is crucial for enhancing the efficiency of unstructured mesh models.

Purpose of the Study:

  • To investigate an optimization-based approach for mesh adaptivity in oceanographic models.
  • To specifically address the capture of anisotropic solution characteristics.
  • To compare the performance of different resolution strategies.

Main Methods:

  • Developed an optimization-based algorithm for mesh adaptivity.
  • Focused on adapting mesh resolution to capture anisotropic features.
  • Conducted comparative simulations using uniform isotropic, isotropic adaptive, and anisotropic adaptive resolutions.

Main Results:

  • The proposed anisotropic adaptive resolution strategy shows potential for improving computational efficiency.
  • Comparisons highlight differences in results based on resolution types.
  • Anisotropic adaptivity effectively targets resolution for complex solution features.

Conclusions:

  • Optimization-based anisotropic mesh adaptivity is a promising technique for reducing computational cost in oceanographic models.
  • This approach enhances the competitiveness of unstructured mesh methods.
  • Further research can refine these adaptive techniques for broader application.