Numerical noise in ocean and estuarine models

Advances in Water Resources
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Approximate methods for solving the shallow water equations may lead to solutions exhibiting large fictitious, numerically-induced oscillations. The analysis of the discrete dispersion relation and modal solutions of small wavelengths provides a powerful technique for assessing the sensitivity of alternative numerical schemes to irregular data which may lead to such oscillatory numerical noise. For those schemes where phase speed vanishes at a finite wavenumber or there are multiple roots for wavenumber, oscillation modes can exist which are uncoupled from the dynamics of the problem. The discrete modal analysis approach is used here to identify two classes of spurious oscillation modes associated respectively with the two different asymptotic limits corresponding to estuarine and large scale ocean models. The analysis provides further insight into recent numerical results for models which include large spatial scales and Coriolis acceleration. ?? 1984.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Numerical noise in ocean and estuarine models
Series title Advances in Water Resources
Volume 7
Issue 1
Year Published 1984
Language English
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Advances in Water Resources
First page 15
Last page 20
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