CMS-Flow Hydrodnamics: Variable Definitions

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The instantaneous current velocity ui is split into:

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

_ =

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]

For simplicity in the notation, the over bar in subsequent wave-averaged variables is omitted. 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)

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

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