MOM6
Equation of State

Within MOM6, there is a wrapper for the equation of state, so that all calls look the same from the rest of the model. The equation of state code has to calculate not just in situ density, but also the compressibility and various derivatives of the density. There is also code for computing specific volume and the freezing temperature.

Linear Equation of State

Compute the required quantities with uniform values for \(\alpha = \frac{\partial \rho}{\partial T}\) and \(\beta = \frac{\partial \rho}{\partial S}\), (DRHO_DT, DRHO_DS in MOM_input, also uses RHO_T0_S0).

Wright Equation of State

Compute the required quantities using the equation of state from [37]. This equation of state is in the form:

\[ \alpha(s, \theta, p) = A(s, \theta) + \frac{\lambda(s, \theta)}{P(s, \theta) + p \]

where \(A, \lambda\) and \(P\) are functions only of \(s\) and \(\theta\) and \(\alpha = 1/ \rho\) is the specific volume. This form is useful for the pressure gradient computation as discussed in Pressure Gradient Term.

NEMO Equation of State

Compute the required quantities using the equation of state from [28].

UNESCO Equation of State

Compute the required quantities using the equation of state from [23].

TEOS-10 Equation of State

Compute the required quantities using the equation of state from TEOS-10.

Freezing Temperature of Sea Water

There are three choices for computing the freezing point of sea water: