User Guide 020: Difference between revisions

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=9 List of Symbols=
=9 List of Symbols=


{| class="wikitable'
{| class="wikitable"
 
|- ''Variable''' | '''Meaning'''  | '''Units(SI)''' |-
|f<sub>c</sub>  | Coriolis parameter | 1/s |-


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

Revision as of 18:01, 6 May 2015

9 List of Symbols

Variable Meaning Units(SI)
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle f_c} Coriolis parameter 1/s
h Time -averaged total water depth m
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \bar{\nu}} Time-averaged water surface elevation above the still water line m
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \xi} Still water depth m
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle S^m} Source term due to precipitation, evaporation and subgrid structures m/s
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle V_i} Total flux velocity defined as Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle V_i = U_i + U_{wi}} m/a
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle U_i} Time- and depth-averaged current velocity vector (i.e. Eulerian velocity) m/s
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle U_i ^S} Depth-averaged Stokes velocity m/s
g Gravitational constant (9.806 m/s2) m/s2
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle p_{atm}} Atmospheric pressure Pa
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \rho} Water density (~1025 Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle kg/m^3} ) Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle kg/m^3}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle v_t} Turbulent eddy viscosity Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m^2 /s}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \tau_{si}} Wind surface stress vector Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle N/m^2}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \tau_{wi}} Wave stress vector Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle N/m^2}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \tau_{bi}} Combined wave-current mean bed shear stress vector Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle N/m^2}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle C_{salt}} Depth-average salinity concentration ppt
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle u_w} Peak bottom orbital velocity based on the significant wave height and linear wave theory m/s
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle u_{rms}} Peak bottom wave orbital velocity based on the root-mean-squared wave height m/s
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \rho_\alpha} Air density at sea level Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle kg/m^3}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle c_D} Wind drag coefficient -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle W_i} 10-m wind speed vector m/s
W 10-m wind velocity magnitude Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \sqrt{W_i W_i} } m/s
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle q_{b*}} Equilibrium bed load transport Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m^2 /s}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle q_{s*}} Equilibrium suspended load transport Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m^2 /s}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle q_{t*}} Equilibrium total load transport Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m^2 /s}
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle d_{50}} median grain size m
s sediment specific gravity or relative density -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \Theta_C} Shields parameters due to currents -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \Theta_{cw,m}} Mean Shields parameters due to waves and currents -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \Theta_{cw}} Maximum Shields parameters due to waves and currents -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \Theta_{cr}} Critical Shields parameter -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle d_*} Dimensionless grain size based on the median grain size -
Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle d_{*k}} Dimensionless grain size based on the kth size class -
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