User Guide 020

9 List of Symbols

Variable	Meaning	Units(SI)
$f_{c}$	Coriolis parameter	1/s
h	Time -averaged total water depth	m
${\bar {\nu }}$	Time-averaged water surface elevation above the still water line	m
$\xi$	Still water depth	m
$S^{m}$	Source term due to precipitation, evaporation and subgrid structures	m/s
$V_{i}$	Total flux velocity defined as $V_{i}=U_{i}+U_{wi}$	m/a
$U_{i}$	Time- and depth-averaged current velocity vector (i.e. Eulerian velocity)	m/s
$U_{i}^{S}$	Depth-averaged Stokes velocity	m/s
g	Gravitational constant (9.806 m/s2)	m/s2
$p_{atm}$	Atmospheric pressure	Pa
$\rho$	Water density (~1025 $kg/m^{3}$)	$kg/m^{3}$
$v_{t}$	Turbulent eddy viscosity	$m^{2}/s$
$\tau _{si}$	Wind surface stress vector	$N/m^{2}$
$\tau _{wi}$	Wave stress vector	$N/m^{2}$
$\tau _{bi}$	Combined wave-current mean bed shear stress vector	$N/m^{2}$
$C_{salt}$	Depth-average salinity concentration	ppt
$u_{w}$	Peak bottom orbital velocity based on the significant wave height and linear wave theory	m/s
$u_{rms}$	Peak bottom wave orbital velocity based on the root-mean-squared wave height	m/s
$\rho _{\alpha }$	Air density at sea level	$kg/m^{3}$
$c_{D}$	Wind drag coefficient	-
$W_{i}$	10-m wind speed vector	m/s
W	10-m wind velocity magnitude ${\sqrt {W_{i}W_{i}}}$	m/s
$q_{b*}$	Equilibrium bed load transport	$m^{2}/s$
$q_{s*}$	Equilibrium suspended load transport	$m^{2}/s$
$q_{t*}$	Equilibrium total load transport	$m^{2}/s$
$d_{50}$	median grain size	m
s	sediment specific gravity or relative density	-
$\Theta _{C}$	Shields parameters due to currents	-
$\Theta _{cw,m}$	Mean Shields parameters due to waves and currents	-
$\Theta _{cw}$	Maximum Shields parameters due to waves and currents	-
$\Theta _{cr}$	Critical Shields parameter	-
$d_{*}$	Dimensionless grain size based on the median grain size	-
$d_{*k}$	Dimensionless grain size based on the kth size class	-