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adds parentheses in general-coordinate versions of temp and sal
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navidcy committed Mar 12, 2019
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4 changes: 2 additions & 2 deletions docs/equations/general_coordinate.rst
Original file line number Diff line number Diff line change
Expand Up @@ -12,6 +12,6 @@ The Boussinesq hydrostatic equations of motion in general-coordinate
D_t \boldsymbol{u} + f \widehat{\boldsymbol{k}} \wedge \boldsymbol{u} + \boldsymbol{\nabla}_z \Phi + \frac{1}{\rho_o} \boldsymbol{\nabla}_z p &= \boldsymbol{\nabla} \cdotp \boldsymbol{\underline{\tau}} ,\\
\rho \partial_z \Phi + \partial_z p &= 0 ,\\
\partial_t z_r + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} ) + \partial_r ( z_r \dot{r} ) &= 0 ,\\
\partial_t z_r \theta + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} \theta ) + \partial_r ( z_r \dot{r} \theta ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_\theta ,\\
\partial_t z_r S + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} S ) + \partial_r ( z_r \dot{r} S ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_S ,\\
\partial_t (z_r \theta) + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} \theta ) + \partial_r ( z_r \dot{r} \theta ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_\theta ,\\
\partial_t (z_r S) + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} S ) + \partial_r ( z_r \dot{r} S ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_S ,\\
\rho &= \rho(S, \theta, z) .

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