From 8a979c3a5b3e4b48ddba35256eb7dee2114e0722 Mon Sep 17 00:00:00 2001 From: Navid Constantinou Date: Tue, 19 Mar 2019 07:51:20 +1100 Subject: [PATCH] fixes geopotential gradient term in governing eqs. --- docs/equations/governing.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/equations/governing.rst b/docs/equations/governing.rst index ae31e9634c..2b3392a559 100644 --- a/docs/equations/governing.rst +++ b/docs/equations/governing.rst @@ -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 , \\