CMS-Flow Hydrodnamics: Variable Definitions

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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

 

(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)

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