Research Article

Reduced-order modelling of an adaptive mesh ocean model

  1. F. Fang1,†,‡,*,
  2. C. C. Pain1,
  3. I. M. Navon2,
  4. M. D. Piggott1,
  5. G. J. Gorman1,
  6. P. A. Allison1,
  7. A. J. H. Goddard1

Article first published online: 9 JUL 2008

DOI: 10.1002/fld.1841

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Volume 59, Issue 8, pages 827–851, 20 March 2009

Additional Information

How to Cite

Fang, F., Pain, C. C., Navon, I. M., Piggott, M. D., Gorman, G. J., Allison, P. A. and Goddard, A. J. H. (2009), Reduced-order modelling of an adaptive mesh ocean model. International Journal for Numerical Methods in Fluids, 59: 827–851. doi: 10.1002/fld.1841

Author Information

  1. 1

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College, Prince Consort Road, London SW7 2BP, U.K.

  2. 2

    School of Computational Science and Department of Mathematics, Florida State University, Tallahassee, FL 32306-4120, U.S.A.

  1. †

    http://amcg.ese.imperial.ac.uk

  2. ‡

    http://people.scs.fsu.edu/∼navon/index.html

*Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College, Prince Consort Road, London SW7 2BP, U.K.

Publication History

  1. Issue published online: 4 FEB 2009
  2. Article first published online: 9 JUL 2008
  3. Manuscript Accepted: 10 APR 2008
  4. Manuscript Revised: 8 APR 2008
  5. Manuscript Received: 8 JUN 2007

Funded by

  • National Environment Research Council. Grant Number: NE/C52101X/1
  • NSF. Grant Numbers: ATM-0201808, CCF-0635162, ID 0635162

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Keywords:

  • POD;
  • reduced-order modelling;
  • ocean model;
  • finite element;
  • unstructured adaptive mesh

Abstract

A novel proper orthogonal decomposition (POD) model has been developed for use with an advanced unstructured mesh finite-element ocean model, the Imperial College Ocean Model (ICOM, described in detail below), which includes many recent developments in ocean modelling and numerical analysis. The advantages of the POD model developed here over existing POD approaches are the ability:

  • 1.
    To increase accuracy when representing geostrophic balance (the balance between the Coriolis terms and the pressure gradient). This is achieved through the use of two sets of geostrophic basis functions where each one is calculated by basis functions for velocities u and v.
  • 2.
    To speed up the POD simulation. To achieve this a new numerical technique is introduced, whereby a time-dependent matrix in the discretized equation is rapidly constructed from a series of time-independent matrices. This development imparts considerable efficiency gains over the often-used alternative of calculating each finite element over the computational domain at each time level.
  • 3.
    To use dynamically adaptive meshes in the above POD model.

Copyright © 2008 John Wiley & Sons, Ltd.

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