--- MITgcm_contrib/articles/ceaice/ceaice_model.tex	2008/02/28 20:09:23	1.4
+++ MITgcm_contrib/articles/ceaice/ceaice_model.tex	2008/03/06 21:54:55	1.7
@@ -12,7 +12,7 @@
   C-grid variants are available; the C-grid code allows for no-slip
   and free-slip lateral boundary conditions;
 \item two different solution methods for solving the nonlinear
-  momentum equations have been adopted: LSOR \citep{zha97}, EVP
+  momentum equations have been adopted: LSOR \citep{zhang97}, EVP
   \citep{hunke97};
 \item ice-ocean stress can be formulated as in \citet{hibler87};
 \item ice variables are advected by sophisticated advection schemes;
@@ -98,7 +98,7 @@
     \left(\dot{\epsilon}_{11}^2+\dot{\epsilon}_{22}^2\right)
     (1+e^{-2}) +  4e^{-2}\dot{\epsilon}_{12}^2 + 
     2\dot{\epsilon}_{11}\dot{\epsilon}_{22} (1-e^{-2})
-  \right]^{-\frac{1}{2}}
+  \right]^{\frac{1}{2}}
 \end{align*}
 The bulk viscosities are bounded above by imposing both a minimum
 $\Delta_{\min}=10^{-11}\text{\,s}^{-1}$ (for numerical reasons) and a
@@ -283,16 +283,13 @@
 Effective ich thickness (ice volume per unit area,
 $c\cdot{h}$), concentration $c$ and effective snow thickness
 ($c\cdot{h}_{s}$) are advected by ice velocities:
-\begin{align}
-  \frac{\partial(c\,{h})}{\partial{t}} &= - \nabla\left(\vek{u}\,c\,{h}\right) +
-  \Gamma_{h} + D_{h} \\
-  \frac{\partial{c}}{\partial{t}} &= - \nabla\left(\vek{u}\,c\right) +
-  \Gamma_{c} + D_{c} \\
-  \frac{\partial(c\,{h}_{s})}{\partial{t}} &= - \nabla\left(\vek{u}\,c\,{h}_{s}\right) +
-  \Gamma_{h_{s}} + D_{h_{s}} 
-\end{align}
+\begin{equation}
+  \label{eq:advection}
+  \frac{\partial{X}}{\partial{t}} = - \nabla\cdot\left(\vek{u}\,X\right) +
+  \Gamma_{X} + D_{X}
+\end{equation}
 where $\Gamma_X$ are the thermodynamic source terms and $D_{X}$ the
-diffusive terms for quantity $X=h, c, h_{s}$.
+diffusive terms for quantities $X=(c\cdot{h}), c, (c\cdot{h}_{s})$.
 %
 From the various advection scheme that are available in the MITgcm
 \citep{mitgcm02}, we choose flux-limited schemes
