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\title{Summary of IceOcean1--2\_COM\_POPSICLES\_SSA Results}
\author{Xylar Asay-Davis and Daniel Martin}

\begin{document}
\maketitle

\section{Ice-Sheet Component Details}

\begin{itemize}
\item Ice-sheet component and version: BISICLES \citep{Cornford2013} svn revision r3048
\item Englacial stresses: SSA, Glen’s law, $n = 3$, $A = 2.0  \times 10^{-17} \textrm{Pa}^{-3}\,\textrm{a}^{-1}$.
\item Basal traction: Power law \citep{Weertman1974}  $|\tau_b| = \beta^2 |u_b|^{1/3}$, 
$\beta^2 = 10^4$\,Pa\,m$^{-1/3}$\,a$^{1/3}$.
\item Space discretization: Finite volume, adaptive non-uniform grid, block structured AMR, square cells with
$0.5 < \Delta x < 4.0$\,km
\item Time stepping: Piecewise Parabolic Method \citep{Colella1984}, explicit, $\Delta t < \Delta x/(4|u|)$
\item Grounding line: One-sided differences of surface elevation.
\item MISMIP3d name: DMA6 (different mesh resolution)
\end{itemize}

\section{Ocean Component Details}

\begin{itemize}
\item Ocean component and version: Parallel Ocean Program v. 2x (POP2x)
\item Repository: not publicly available.
\item Vertical coordinate: $z$~level with partial top and bottom cells.
\item Horizontal mixing: harmonic (del2) along geopotentials.
\item Vertical mixing: del2 with COM constant viscosity and diffusivity.
\item Advection schemes: momentum: centered, tracers: flux limited Lax-Wendroff.
\item Equation of state: linear with ISOMIP+ coefficients.
\item Convection parameterization: enhanced vertical mixing (ISOMIP+ values of $\nu_\textrm{unstab}$ and 
$\kappa_\textrm{unstab}$)
\item Melt parameterization: $T_w$ and $S_w$ are computed by averaging $T$ and $S$ with 20\,m of the ice
draft.  $u_w$ is averaged over 4 ``horizontal`` neighbors (at the ice--ocean interface) from the velocity to the tracer 
grid but is not averaged vertically.
\item Modifications to Topography: Interpolated from 1-km BISICLES grid to 2-km POP2x grid with conservative 
interpolation scheme, smoothed with a Gaussian filter with half-width of 2\,km.  A minimum thickness of 2 grid 
cells (40\,m) was maintained by deepening bathymetry near the grounding line.  Partial top cells thinner than 
5\,m are either thickened or removed.  Ice draft and bathymetry are automatically adjusted to ensure required 
connectivity between neighboring cells (e.g.removing or horizontally expanding cells with no horizontal neighbors).
\item Maintaining sea level: Using virtual salt fluxes, so sea-level change is negligible. 
\item Moving boundaries: Monthly coupling interval:  At coupling intervals, T and S were progressively 
extrapolated first horizontally, then vertically into new ocean cells.  Barotropic transport was maintained by re-
distributing barotropic velocity across the expandedor contracted water column.  Velocities are initially zero in new 
ocean columns.  T, S and v are simply zeroed in cells removed from the ocean.
\item Deviations from COM: none.
\item Parameter values:

\begin{tabular}{rl}
$\Gamma_T$ & $0.1146$ \\
$\Gamma_S$ & $3.27429 \times 10^{-3}$ \\
$C_{D,\textrm{top}}$ & $2.5 \times 10^{-3}$
\end{tabular}
\end{itemize}

\section{Coupled Model Details}

\begin{itemize}
\item Model and version: POPSICLES v. 0.6
\item Coupling scheme: Offline coupling through python scripts and modifying restart files.  Each coupling interval, new POP2x topography is computed based on BISICLES snapshots. Melt rates from POP2x are conservatively interpolated to the BISICLES grid.  Any melting that is found below grounded ice is redistributed to the closest floating cells.
\item Parameter values:
\begin{tabular}{rl}
coupling interval & 1 month
\end{tabular}
\end{itemize}

\bibliographystyle{apalike}
\bibliography{misomip}

\end{document}
