https://github.com/alphaparrot/ExoPlaSim
Tip revision: 9f69f6e970c50cae27581eb9ae4fc6710a9eae3d authored by Adiv Paradise on 14 August 2019, 21:22:17 UTC
Fixed bug where surface temperature in the time-averaged output file was erroneously low on the first write. This was a purely diagnostic bug--no impact on physics.
Fixed bug where surface temperature in the time-averaged output file was erroneously low on the first write. This was a purely diagnostic bug--no impact on physics.
Tip revision: 9f69f6e
symb.tex
\label{locs}
\begin{tabular*}{\textwidth}{|l@{\extracolsep\fill}lll|}
\hline
\vspace{-3mm} & & & \\
Symbol & Definition & Value & Unit \\
\hline
\vspace{-3mm} & & & \\
$a$ & earth radius & $\rm 6371\e{3}$ & $\rm
m$ \\
$A$ & $=D+\vec{V} \cdot \nabla \ln p_s $ & & $\rm -$ \\
${\cal A}$ & absorptivity/emissivity & & $\rm -$ \\
${\cal A}_S$ & surface emissivity & &$\rm -$ \\
$B(T)$ & Planck function & &$\rm Wm^{-2}$ \\
$cc$ & cloud cover & & $\rm -$\\
$C_{char}$ & Charnock constant & 0.018 & $\rm -$ \\
$C_h$ & transfer coefficient for heat & & $\rm -$ \\
$C_m$ & drag coefficient for momentum & & $\rm -$ \\
$c_p$ & specific heat of moist air at constant pressure & & $\rm J\,
kg^{-1}\, K^{-1}$ \\
$c_{pd}$ & specific heat of dry air at constant pressure & 1005.46 & $\rm J\,
kg^{-1}\, K^{-1}$ \\
$c_{pv}$ & specific heat of water vapor at constant pressure & 1869.46 & $\rm J\,
kg^{-1}\, K^{-1}$ \\
$c_{p_i}$ & specific heat of sea ice & 2070 & $\rm W\,
s\, kg^{-1}\, K^{-1}$ \\
$c_{p_s}$ & specific heat of snow & 2090 & $\rm W\,
s\, kg^{-1}\, K^{-1}$ \\
$c_{p_w}$ & specific heat of sea water & 4180 & $\rm W\,
s\, kg^{-1}\, K^{-1}$ \\
$c_w$ & coefficient for the deep ocean heat flux & 4 & $\rm W\,
m^{-2}\, K^{-1}$ \\
$C_w$ & wetness factor & & $\rm -$ \\
$D$ & scaled divergence & & $\rm -$ \\
$E$ & evaporation & & $\rm m\,
s^{-1}$ \\
$E_0$ & extrateristical solar flux density & & $\rm W\,
m^{-2}$ \\
$f$ & Coriolis parameter $=:2\Omega\sin\varphi$ & & $\rm
s^{-1}$ \\
$F_p$ & tendency of the first moment$=:\frac{d R_{1}}{d t}$ & &
$\rm K\, m^2\, s^{-1}$ \\
$F_q$ & tendency of the zeroth moment$=:\frac{d R_{0}}{d t}$ & &
$\rm K\, m\, s^{-1}$ \\
$F_q$ & surface moisture flux & & $\rm kg\,
m^{-2}\, s^{-1}$ \\
$F_T$ & surface sensible heat flux & & $\rm W\,
m^{-2}$ \\
$F_u$ & surface zonal wind stress & & $\rm Pa$
\\
$F_v$ & surface meridional wind stress & & $\rm Pa$
\\
$F^{LW}$ & long wave radiation flux density & &$\rm W m^{-2}$ \\
$F^{SW}$ & short wave radiation flux density & &$\rm W m^{-2}$ \\
$g$ & gravitational acceleration & 9.81 & $\rm
m^{-2}$ \\
$h_{mix}$ & mixed layer depth & & $\rm m$ \\
$h_{mix_c}$ & climatological mixed layer depth & & $\rm m$ \\
$H_q$ & effective mixed layer depth $=:\frac{R_{0}}{T_{mix}-T_{ref}}$ &
& $\rm m$ \\
$H_p$ & reduced center of gravity $=:\frac{R_{1}}{R_0}$ & &
$\rm m$ \\
\hline
\end{tabular*}
\newpage
\begin{tabular*}{\textwidth}{|l@{\extracolsep\fill}lll|}
\hline
\vspace{-3mm} & & & \\
Symbol & Definition & Value & Unit \\
\hline
\vspace{-3mm} & & & \\
$J_q$ & vertical turbulent moisture flux & & $\rm kg\, m^{-2}\,
s^{-1}$ \\
$J_T$ & vertical turbulent temperature flux & & $\rm K\,
m^{-2}\, s^{-1}$ \\
$J_u$ & vertical turbulent flux of zonal momentum & & $\rm Pa$
\\
$J_v$ & vertical turbulent flux of meridional momentum & & $\rm Pa$
\\
$k$ & von Karman constant & 0.4 & $\rm -$ \\
$K_h$ & exchange coefficient for heat & & $\rm -$ \\
$K_m$ & exchange coefficient for momentum & &$\rm -$ \\
$L$ & latent heat & & $\rm J\, kg^{-1}$\\
$L_f$ & latent heat of fusion = $L_s - L_v$ & $\rm 3.28\e{5}$ &
$\rm J\, kg^{-1}$ \\
$l_h$ & mixing length for heat & & $\rm m$ \\
$l_m$ & mixing length for momentum & &
$\rm m$ \\
$L_s$ & latent heat of sublimation & $\rm 2.8345\e{6}$ & $\rm J\,
kg^{-1}$ \\
$L_v$ & latent heat of vapourization & $\rm 2.5008\e{6}$
& $\rm J\, kg^{-1}$ \\
$P_c$ & convective precipitation & &$\rm m s^{-1}$ \\
$P_l$ & large scale precipitation & &$\rm m s^{-1}$ \\
$P^m_n(\mu)$ & associated Legendre function of the first kind & & $\rm -$ \\
$p$ & pressure \hspace*{\fill} & & $\rm Pa$ \\
$p_S$ & surface pressure & & $\rm Pa$
\\
$p_s$ & scaled surface pressure & & $\rm -$ \\
$q$ & specific humidity & & $\rm kg\,
kg^{-1}$ \\
$Q$ & total heat flux through sea ice & & $\rm W\, m^{-2}$
\\
$\tilde{Q}$ & flux correction heat flux through sea ice & & $\rm W\, m^{-2}$
\\
$Q_a$ & total atmospheric heat flux & & $\rm W\,
m^{-2}$ \\
$Q_c$ & conductive heat flux through sea ice & & $\rm W\,
m^{-2}$ \\
$Q_f$ & heat flux available for freezing sea ice & & $\rm W\, m^{-2}$
\\
$Q_g$ & heat flux into the soil & & $\rm W m^{-2}$ \\
$Q_m$ & snow melt heat flux & & $\rm W m^{-2}$ \\
$Q_o$ & oceanic heat flux & & $\rm W\, m^{-2}$
\\
$q_S$ & surface specific humidity & & $\rm kg\,
kg^{-1}$ \\
$q_{sat}$ & saturation specific humidity & & $\rm kg\,
kg^{-1}$ \\
${\cal R}$ & refexivity/albedo & &$\rm -$ \\
${\cal R}_S$ & surface albedo & & $\rm -$ \\
$R_d$ & gas constant for dry air & 287.05 & $\rm J\,
kg^{-1}\, K^{-1}$ \\
$R_l$ & surface long wave radiation & & $\rm W\,
m^{-2}$ \\
$R_s$ & surface short wave radiation & & $\rm W\,
m^{-2}$ \\
$R_v$ & gas constant for water vapor & 461.51 &
$\rm J\, kg^{-1}\, K^{-1}$ \\
$R_{0}$ & zeroth moment of the temperature distribution & & $\rm K\,
m$ \\
$R_{1}$ & first moment of the temperature distribution & & $\rm K\,
m^2$ \\
$Ri$ & Richardson number & & $\rm -$ \\
$S_w$ & salinity of sea water & 34.7
& $\rm psu$ \\
\hline
\end{tabular*}
\newpage
\begin{tabular*}{\textwidth}{|l@{\extracolsep\fill}lll|}
\hline
\vspace{-3mm} & & & \\
Symbol & Definition & Value & Unit \\
\hline
\vspace{-3mm} & & & \\
$t$ & time & & $\rm s$ \\
$t$ & scaled time step & & $\rm -$ \\
${\cal T}$ & transmissivity & &$\rm -$ \\
$T$ & temperature & & $\rm K$
\\
$T'$ & temperature anomaly $=:T-T_0$ & & $\rm -$ \\
$T_d$ & deep ocean temperature (at 400m) & & $\rm K$
\\
$T_i$ & sea ice surface temperature & & $\rm K$ \\
$T_f$ & freezing temperature & 271.25 & $\rm K$
\\
$T_s$ & surface temperature & & $\rm K$
\\
$T_{sea}$ & sea surface temperature & & $\rm K$ \\
$T_{melt}$ & melting point & 273.16 & $\rm K$ \\
$T_{mix}$ & mixed layer temperature & & $\rm K$ \\
$T_{mix_c}$ & climatological mixed layer temperature & & $\rm K$
\\
$T_{ref}$ & asymptotic reference temperature & & $\rm K$ \\
$T_w$ & oceanic temperature profile & &
$\rm K$ \\
$T_0$ & reference temperature profile & 250.0 & $\rm K$
\\
$U$ & scaled zonal wind $=:u\cdot\cos\varphi$ & & $\rm -$ \\
$u$ & zonal wind & & $\rm m\, s^{-1}$
\\
$u_*$ & friction velocity & & $\rm m\, s^{-1}$ \\
$V$ & scaled meridional wind $=:v\cdot\cos\varphi$ & & $\rm -$ \\
$v$ & meridional wind & & $\rm m\, s^{-1}$
\\
$\vec{v}$ & horizontal wind vector & & $\rm m\, s^{-1}$
\\
$W_L$ & cloud liquid water path & & $\rm g m^2$ \\
$W_{snow}$ & mass of snow water & & $\rm kg $\\
$W_{soil}$ & soil water & & $\rm m $\\
$z$ & height & & $\rm m$ \\
$z_0$ & roughness length & & $\rm m$ \\
$\Delta t $ & time increment & & $\rm s$ \\
$\Delta z $ & height increment & &$\rm m$ \\
$\alpha$ & thermal expansion coefficient $\frac{1}{\rho} \frac{d\rho}{dT}$ & $\rm
2.41\e{-4}$ & $\rm K^{-1}$ \\
$\beta$ & back scattering coefficient & &$\rm - $\\
$\beta_d$ & diffusivity factor & 1.66 &$\rm - $ \\
$\zeta$ & scaled vorticity & & $\rm -$ \\
$\theta$ & potential temperature & & $\rm K$ \\
$\kappa$ & $R_d/C_{pd}$ & & $\rm -$ \\
$\bar{\kappa}$ & mean heat conductivity in ice and snow & & $\rm W\,
m^{-1}\, K^{-1}$ \\
$\kappa_i$ & heat conductivity in ice & 2.03 & $\rm W\, m^{-1}\,
K^{-1}$ \\
$\kappa_s$ & heat conductivity in snow & 0.31 & $\rm W\,
m^{-1}\, K^{-1}$ \\
$\lambda_h$ & asymptotic mixing length for heat & &$\rm m $\\
$\lambda_m$ & asymptotic mixing length for momentum & &$\rm m $\\
$\lambda$ & longitude & & $\rm -$ \\
$\mu$ & $\sin\varphi$ & & $\rm -$ \\
$\mu_0$ & cosine of the solar zenith angle & & $\rm -$ \\
$\rho$ & density of air & & $\rm kg\,
m^{-3}$ \\
$\rho_i$ & density of sea ice & 920 & $\rm kg\, m^{-3}$
\\
$\rho_s$ & density of snow & 330 & $\rm kg\, m^{-3}$
\\
$\rho_w$ & density of sea water & 1030 & $\rm kg\,
m^{-3}$ \\
$\rho_o$ & density of fresh water & 1000 & $\rm kg\, m^{-3}$
\\
\hline
\end{tabular*}
\newpage
\begin{tabular*}{\textwidth}{|l@{\extracolsep\fill}lll|}
\hline
\vspace{-3mm} & & & \\
Symbol & Definition & Value & Unit \\
\hline
\vspace{-3mm} & & & \\
$\sigma$ & normalized pressure coordinate $=: p/p_s$ & & $\rm -$ \\
$\dot{\sigma}$ & vertical velocity in $\sigma$ system & & $\rm -$ \\
$\sigma_{SB}$ & Stefan-Bolzmann constant & $ 5.67 \e{-8}$ &$\rm W m^{-2}K^{-4}$ \\
$\tau_N$ & cloud optical depth & &$\rm -$\\
$\tau_{F}$ & time scale for RF & & $\rm -$ \\
$\tau_{R}$ & time scale for NC & & $\rm -$ \\
$\tau_{T}$ & time scale for temperature flux correction & & $\rm s$ \\
$\tau_{h}$ & time scale for depth flux correction & & $\rm s$ \\
$\phi$ & geopotential height $:=g\cdot{z}$ & & $\rm m^2\,
s^{-2}$ \\
$\phi$ & scaled geopotential height & & $\rm -$ \\
$\varphi$ & latitude & & $\rm -$ \\
$\chi$ & scaled velocity potential & & $\rm -$ \\
$\psi$ & scaled streamfunction & & $\rm -$ \\
$\Omega$ & angular velocity of the earth & $\rm 7.292\e{-5}$ & $\rm
s^{-1}$ \\
$\tilde{\omega_0}$ & single scattering albedo & &$\rm- $\\
\hline
\end{tabular*}
