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fixes geopotential gradient term in governing eqs.
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navidcy committed Mar 18, 2019
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2 changes: 1 addition & 1 deletion docs/equations/governing.rst
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Expand Up @@ -6,7 +6,7 @@ Governing equations
The Boussinesq hydrostatic equations of motion in height coordinates are

.. math::
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}} , \\
D_t \boldsymbol{u} + f \widehat{\boldsymbol{k}} \wedge \boldsymbol{u} + \frac{\rho}{\rho_o} \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 , \\
\boldsymbol{\nabla}_z \cdotp \boldsymbol{u} + \partial_z w &= 0 , \\
D_t \theta &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_\theta , \\
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