Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard
Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard
A new set of approximations to the standard TEOS-10 equation of state are presented. These follow a polynomial form, making it computationally efficient for use in numerical ocean models. Two versions are provided, the first being a fit of density for Boussinesq ocean models, and the second fitting specific volume which is more suitable for compressible models. Both versions are given as the sum of a vertical reference profile (6th-order polynomial) and an anomaly (52-term polynomial, cubic in pressure), with relative errors of ?0.1% on the thermal expansion coefficients. A 75-term polynomial expression is also presented for computing specific volume, with a better accuracy than the existing TEOS-10 48-term rational approximation, especially regarding the sound speed, and it is suggested that this expression represents a valuable approximation of the TEOS-10 equation of state for hydrographic data analysis. In the last section, practical aspects about the implementation of TEOS-10 in ocean models are discussed.
Physical oceanography, Equation of state, TEOS-10, Ocean thermodynamics, Ocean modelling, Seawater density
29-43
Roquet, F.
92998487-4f5f-42e8-8873-453e268d065e
Madec, G.
7e2ec04b-896a-4861-b2d0-b74f39d748c2
McDougall, Trevor J.
06a3853b-ba2c-4203-8a7d-34dd0e0a8836
Barker, Paul M.
0465fb36-a1e4-452e-803d-7a94aadadb8f
June 2015
Roquet, F.
92998487-4f5f-42e8-8873-453e268d065e
Madec, G.
7e2ec04b-896a-4861-b2d0-b74f39d748c2
McDougall, Trevor J.
06a3853b-ba2c-4203-8a7d-34dd0e0a8836
Barker, Paul M.
0465fb36-a1e4-452e-803d-7a94aadadb8f
Roquet, F., Madec, G., McDougall, Trevor J. and Barker, Paul M.
(2015)
Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard.
Ocean Modelling, 90, .
(doi:10.1016/j.ocemod.2015.04.002).
Abstract
A new set of approximations to the standard TEOS-10 equation of state are presented. These follow a polynomial form, making it computationally efficient for use in numerical ocean models. Two versions are provided, the first being a fit of density for Boussinesq ocean models, and the second fitting specific volume which is more suitable for compressible models. Both versions are given as the sum of a vertical reference profile (6th-order polynomial) and an anomaly (52-term polynomial, cubic in pressure), with relative errors of ?0.1% on the thermal expansion coefficients. A 75-term polynomial expression is also presented for computing specific volume, with a better accuracy than the existing TEOS-10 48-term rational approximation, especially regarding the sound speed, and it is suggested that this expression represents a valuable approximation of the TEOS-10 equation of state for hydrographic data analysis. In the last section, practical aspects about the implementation of TEOS-10 in ocean models are discussed.
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Published date: June 2015
Keywords:
Physical oceanography, Equation of state, TEOS-10, Ocean thermodynamics, Ocean modelling, Seawater density
Organisations:
Marine Systems Modelling
Identifiers
Local EPrints ID: 378523
URI: http://eprints.soton.ac.uk/id/eprint/378523
ISSN: 1463-5003
PURE UUID: e5be24ad-ff77-4a61-bfe8-c8148deef2dc
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Date deposited: 29 Jun 2015 13:55
Last modified: 14 Mar 2024 20:24
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Contributors
Author:
F. Roquet
Author:
G. Madec
Author:
Trevor J. McDougall
Author:
Paul M. Barker
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