User Guide 020

9 List of Symbols

Variable Meaning Units(SI)

f_c Coriolis parameter 1/s

h Time -averaged total water depth $h=\xi +\nu$ m

Failed to parse (syntax error): {\displaystyle \bar{\nu} }Time-averaged water surface elevation above the still water line m

$\xi$Still water depth m

S^mSource term due to precipitation, evaporation and subgrid structures m/s

VⁱTotal flux velocity defined as $V_{i}=U_{i}U{wi}m/aU_iTime-anddepth-averagedcurrentvelocityvector(i.e.Eulerianvelocity)m/s<math>U_{i}^{S}$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/m³) kg/m³

v_tTurbulent eddy viscosity m²/s

Wind surface stress vector N/m2

Wave stress vector N/m2

Combined wave-current mean bed shear stress vector N/m2

Depth-average salinity concentration ppt

Peak bottom orbital velocity based on the significant wave height and linear wave theory m/s

Peak bottom wave orbital velocity based on the root-mean-squared wave height m/s

Air density at sea level kg/m3

Wind drag coefficient -

10-m wind speed vector m/s

10-m wind velocity magnitude m/s

Equilibrium bed load transport m2/s

Equilibrium suspended load transport m2/s

Equilibrium total load transport m2/s

median grain size m s sediment specific gravity or relative density -

Shields parameters due to currents -

Mean Shields parameters due to waves and currents -

Maximum Shields parameters due to waves and cur-rents -

Critical Shields parameter. -

Dimensionless grain size based on the median grain size -

Dimensionless grain size based on the kth size class -