CMS-Flow Hydrodnamics: Variable Definitions: Difference between revisions

From CIRPwiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 40: Line 40:
where <math>U_i</math> is the depth-averaged current velocity. Similarly, the wave volume flux is defined as by  
where <math>U_i</math> is the depth-averaged current velocity. Similarly, the wave volume flux is defined as by  
{{Equation|
{{Equation|
<math>Q_{wi} = hU_{wi} = \bar{\int \tilde{u_i} dz}</math>
<math>Q_{wi} = hU_{wi} = \overline{\int^\eta_\eta_t \tilde{u_i} dz}</math>
|4}}
|4}}



Revision as of 20:44, 28 July 2014

The instantaneous current velocity ui is split into:

 

(1)

in which

= current (wave-averaged) velocity [m/s]
= wave (oscillatory) velocity with wave-average
= turbulent fluctuation with ensemble average = 0 and wave average = 0 [m/s]


The wave-averaged total volume flux is defined as

 

(2)

where

= wave-averaged water depth [m]
= total mean mass flux velocity or simply total flux velocity for short [m/s]
= instantaneous current velocity [m/s]
= instantaneous water level with respect to the Still Water Level (SWL) [m]
= bed elevation with respect to the SWL [m]


The total flux velocity is also referred to as the mean transport velocity (Phillips 1977) and mass transport velocity (Mei 1983). The current volume flux is defined as

 

(2-3)

(3)

where is the depth-averaged current velocity. Similarly, the wave volume flux is defined as by

 

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. TeX parse error: Double subscripts: use braces to clarify"): {\displaystyle Q_{wi}=hU_{wi}={\overline {\int _{\eta }^{\eta }_{t}{\tilde {u_{i}}}dz}}}

(4)

where is the depth-averaged wave flux velocity [m/s], and = wave trough elevation [m]. Therefore the total flux velocity may be written as

 

(5)

Documentation Portal