Sigma Coordinate Pressure Gradient Errors and the Seamount Problem

In a recent paper by Mellor et al., it was found that, in two-dimensional (x, z) applications with finite horizontal viscosity and zero diffusivity, the velocity error, associated with the evaluation of horizontal density or pressure gradients on a sigma coordinate grid, prognostically disappeared,...

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Bibliographic Details
Published inJournal of atmospheric and oceanic technology Vol. 15; no. 5; pp. 1122 - 1131
Main Authors Mellor, G. L., Oey, L-Y., Ezer, T.
Format Journal Article
LanguageEnglish
Published Boston American Meteorological Society 01.10.1998
Subjects
Atmosphere
Marine
Oceanography
Seamounts
Online AccessGet full text
ISSN0739-0572
1520-0426
DOI10.1175/1520-0426(1998)015<1122:SCPGEA>2.0.CO;2

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Summary:In a recent paper by Mellor et al., it was found that, in two-dimensional (x, z) applications with finite horizontal viscosity and zero diffusivity, the velocity error, associated with the evaluation of horizontal density or pressure gradients on a sigma coordinate grid, prognostically disappeared, leaving behind a small and physically insignificant distortion in the density field. The initial error is numerically consistent in that it decreases as the square of the grid increment size.
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ISSN:0739-0572
1520-0426
DOI:10.1175/1520-0426(1998)015<1122:SCPGEA>2.0.CO;2