Algorithms for Density, Potential Temperature, Conservative Temperature, and the Freezing Temperature of Seawater

Author:

Jackett David R.1,McDougall Trevor J.1,Feistel Rainer2,Wright Daniel G.3,Griffies Stephen M.4

Affiliation:

1. CSIRO Marine and Atmospheric Research, Hobart, Tasmania, Australia

2. Institut für Ostseeforschung, Warnemünde, Germany

3. Department of Fisheries and Oceans, Bedford Institute of Oceanography, Dartmouth, Nova Scotia, Canada

4. NOAA/Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey

Abstract

Abstract Algorithms are presented for density, potential temperature, conservative temperature, and the freezing temperature of seawater. The algorithms for potential temperature and density (in terms of potential temperature) are updates to routines recently published by McDougall et al., while the algorithms involving conservative temperature and the freezing temperatures of seawater are new. The McDougall et al. algorithms were based on the thermodynamic potential of Feistel and Hagen; the algorithms in this study are all based on the “new extended Gibbs thermodynamic potential of seawater” of Feistel. The algorithm for the computation of density in terms of salinity, pressure, and conservative temperature produces errors in density and in the corresponding thermal expansion coefficient of the same order as errors for the density equation using potential temperature, both being twice as accurate as the International Equation of State when compared with Feistel’s new equation of state. An inverse function relating potential temperature to conservative temperature is also provided. The difference between practical salinity and absolute salinity is discussed, and it is shown that the present practice of essentially ignoring the difference between these two different salinities is unlikely to cause significant errors in ocean models.

Publisher

American Meteorological Society

Subject

Atmospheric Science,Ocean Engineering

Reference32 articles.

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2. The effect of the non-ideal composition of sea water on salinity and density.;Brewer;J. Mar. Res.,1975

3. The maximum density points of pure and saline water.;Caldwell;Deep-Sea Res.,1978

4. The major constituents of seawater.;Culkin,1965

5. Freezing point of seawater.;Doherty;J. Mar. Res.,1974

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