A Multiscale Pressure Splitting of the Shallow-Water Equations: I. Formulation and 1D Tests


Journal Article

Direct representation of the free surface in ocean circulation models leads to a number of computational difficulties that are due to the fast time scales associated with free-surface waves. These fast time scales generally result in severe time-step restrictions when the free surface is advanced using an explicit scheme and may result in large phase errors when the free surface is treated implicitly with a large time step. A multiple-scale analysis of the shallow-water equations is used to analyze this stiffness and to guide the construction of a computational methodology that overcomes the associated difficulties. Specifically, we explore a class of fractional step methods that utilize coarsened grids in the propagation of long-wave data. The behavior of the corresponding schemes is examined in detail in light of one-dimensional model problems, based on finite-difference or spectral-element discretizations. © 2001 Academic Press.

Full Text

Duke Authors

Cited Authors

  • Le Maître, O; Levin, J; Iskandarani, M; Knio, OM

Published Date

  • January 1, 2001

Published In

Volume / Issue

  • 166 / 1

Start / End Page

  • 116 - 151

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1006/jcph.2001.6647

Citation Source

  • Scopus