Research Article

Forward-in-time upwind-weighted methods in ocean modelling

  1. Matthew W. Hecht*

Article first published online: 6 DEC 2005

DOI: 10.1002/fld.1136

Issue

International Journal for Numerical Methods in Fluids

International Journal for Numerical Methods in Fluids

Special Issue: Multidimensional Positive Definite Advection Transport Algorithm Methods

Volume 50, Issue 10, pages 1159–1173, 10 April 2006

Additional Information

How to Cite

Hecht, M. W. (2006), Forward-in-time upwind-weighted methods in ocean modelling. Int. J. Numer. Meth. Fluids, 50: 1159–1173. doi: 10.1002/fld.1136

Author Information

  1. Los Alamos National Laboratory, Computers and Computational Sciences Division, MS B296, Los Alamos, NM 87545, U.S.A.

*Los Alamos National Laboratory, Computers and Computational Sciences Division, MS B296, Los Alamos, NM 87545, U.S.A.

Publication History

  1. Issue published online: 10 MAR 2006
  2. Article first published online: 6 DEC 2005
  3. Manuscript Accepted: 20 OCT 2005
  4. Manuscript Revised: 6 OCT 2005
  5. Manuscript Received: 27 APR 2005

Funded by

  • U.S. Department of Energy's (DOE) Office of Science
  • University of California. Grant Number: W-7405-ENG-36

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Keywords:

  • ocean modelling;
  • general circulation modelling;
  • finite difference methods;
  • computational methods

Abstract

The World Ocean presents a remarkably wide range of spatial and temporal scales within complicated domains. At larger scales, beyond a few tens of meters, the ocean circulation can be seen to separate into quasi-horizontal and vertical directions, with the magnitude of mixing differing by many orders of magnitude between the two. It is within this context, and with additional constraints of flux-conservation when used for coupled climate simulation, that transport schemes are placed within ocean general circulation models.

Forward-in-time upwind-weighted methods have made gradual, steady inroads into the field. We review this evolution from centred-in-time centred-in-space schemes, first discussing temporally hybrid models (centred discretization of the momentum equations with forward-in-time treatment of the scalar transport equations), then fully forward-in-time models, touching on a number of test problems and analyses that have provided guidance to these model development efforts and discussing selected results. Copyright © 2005 John Wiley & Sons, Ltd.

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