General coordinate equations

Transforming to a vertical coordinate \(r(z,x,y,t)\), with \(\dot{r} = \frac{\partial r}{\partial t}\)…

The Boussinesq hydrostatic equations of motion in general-coordinate \(r\) are:

f{eqnarray} label{html:r-equations}notag rho_0 left( frac{partial mathbf{u}}{partial t} + ( f + zeta ) , hat{mathbf{z}} times mathbf{u} +