ave_linear_eos Interface

The density for the temperature and salinity about which the equation of state was linearised, $\rho_0$.

The temperature about which the equation of state was linearised, $T_0$.

The salinity about which the equation of state was linearised, $S_0$.

The thermal contraction coefficient, $\beta_T$.

The haline contraction coefficient, $\beta_S$.

The shape coefficient for a horizontally-integrated model. It is defined as $$\alpha_{DS} = \frac{1}{y_2 - y_1} \int^{y_2}_{y_1} f_{D}f_S dy,$$ where $f_{D}(y)$ and $f_S(y)$ are the shapes of the variables $D$ and $S$ in the transverse direction. Defualt value is 1.

The shape coefficient for a horizontally-integrated model. It is defined as $$\alpha_{DT} = \frac{1}{y_2 - y_1} \int^{y_2}_{y_1} f_{D}f_T dy,$$ where $f_{D}(y)$ and $f_T(y)$ are the shapes of the variables $D$ and $T$ in the transverse direction. Defualt value is 1.

The shape coefficient for a horizontally-integrated model. It is defined as $$\tilde{\alpha}_{DS} = \frac{1}{\alpha_{D^2}(y_2 - y_1)} \int^{y_2}_{y_1} f^2_{D}f_S dy,$$ where $f_{D}(y)$ and $f_S(y)$ are the shapes of the variables $D$ and $S$ in the transverse direction and $$\alpha_{D^2} = \frac{1}{y_2 - y_1}\int^{y_2}_{y_1}f_D^2dy.$$ Defualt value is 1.

The shape coefficient for a horizontally-integrated model. It is defined as $$\tilde{\alpha}_{DT} = \frac{1}{\alpha_{D^2}(y_2 - y_1)} \int^{y_2}_{y_1} f^2_{D}f_T dy,$$ where $f_{D}(y)$ and $f_T(y)$ are the shapes of the variables $D$ and $T$ in the transverse direction and $$\alpha_{D^2} = \frac{1}{y_2 - y_1}\int^{y_2}_{y_1}f_D^2dy.$$ Defualt value is 1.