A method for modifying currently existing ocean models to make them non-Boussinesq has been advocated by McDougall, Greatbatch, and Lu and implemented in the Parallel Ocean Program model by Greatbatch et al. Here, theoretical justification is provided for combining the above modifications with the temporal residual mean (TRM) approach of McDougall and McIntosh. The TRM is a method for including the skew flux of tracers caused by the adiabatic stirring of mesoscale eddies in non-eddy-resolving ocean models. The paper provides the justification for simultaneously undertaking these two model improvements and the physical interpretation of the model variables in this situation.
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Greatbatch et al. (2003) studied this question.
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