Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard

Roquet, F.; Madec, G.; McDougall, Trevor J.; Barker, Paul M.. 2015 Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard. Ocean Modelling, 90. 29-43. https://doi.org/10.1016/j.ocemod.2015.04.002

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Abstract/Summary

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.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1016/j.ocemod.2015.04.002
ISSN:	14635003
Additional Keywords:	Physical oceanography; Equation of state; TEOS-10; Ocean thermodynamics; Ocean modelling; Seawater density
NORA Subject Terms:	Marine Sciences
Date made live:	29 Jun 2015 14:04 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/511201

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