Hydrostatic correction for reducing horizontal pressure gradient errors in sigma coordinate models
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Authors
Fan, C.W.
Chu, Peter C.
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Date of Issue
2003
Date
2003
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Abstract
How to reduce the horizontal pressure gradient error is a key issue in terrain-following
coastal models. The horizontal pressure gradient splits into two parts, and incomplete
cancellation of the truncation errors of those parts cause the error. Use of the finite volume
discretization leads to a conserved scheme for pressure gradient computation that has
better truncation properties with high accuracy. The analytical coastal topography and
seamount test cases are used to evaluate the new scheme. The accuracy of the new scheme
is comparable to the sixth-order combined compact scheme (with an error reduction by a
factor of 70 comparing to the second-order scheme) with mild topography and much
better than the sixth-order combined compact scheme with steep topography. The
computational efficiency of the new scheme is comparable to the second-order difference
scheme. The two characteristics, high accuracy and computational efficiency, make
this scheme useful for the sigma coordinate ocean models.
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Article
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Journal of Geophysical Research, American Geophysical Union, 108, C6, 3206,
The article of record as published may be located at http://dx.doi.org/10.1029/2002JC001668
The article of record as published may be located at http://dx.doi.org/10.1029/2002JC001668
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Oceanography
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Chu, P.C., and C.W. Fan, 2003: Hydrostatic correction for reducing horizontal pressure gradient errors in sigma coordinate models (paper download). Journal of Geophysical Research, American Geophysical Union, 108, C6, 3206, doi: 10.1029/2002JC001668, 2003.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.