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Characteristic Numbers of Tidal Energy Transport: Difference between revisions

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==Motivation==
==Motivation==


Computation as well as visualization of the tide independent characteristic numbers of water transport (volume fluxes) gives some insight into the
Computation as well as visualization of the tide independent characteristic numbers of tidal barotropic energy transport gives some insight into the (mean)
* local (rate of change) of water volume,  
* local dissipation of tidal energy,
* mean (horizontal) water transport (volume flux),
* transmitted energy (work due to perturbation pressure) by the tidal wave, as well as the
* significance of rainfall and evaporation, as well as the
* flux of kinetic energy
* strength of sources and sinks
within the [[period of data analysis]].
within the period of data analysis.


From these, conclusions can be drawn on the mean (residual) transport of water. For estuaries, fresh water flow, bathymetry, as well as wind shear are considered to be the main influencing factors. Beyond that, the following non-linearities are also of some significance: nonlinear propagation speed of the tidal wave, bottom friction and advection.
From these, conclusions can be drawn with respect to the (residual) transport as well as dissipation of (barotropic) tidal energy. The mean energy flux is typically dominated by the perturbation pressure work of the tidal wave.


==Definitions for the tide-independent characteristic numbers of water transport==
During computation within [[UNTRIM2007]] and [[UNTRIM2]] only the two most significant terms (processes) are taken into account so far (see above). For this reason dissipation can only be approximately determined. Its magnitude should be correct anyway for estuaries with significant tidal range.
 
Literature:
# Dujuan Kang and Oliver Fringer, 2012: ''Energetics of Barotropic and Baroclinic Tides in the Monterey Bay Area''. Journal of Physical Oceanography, 42, 272–290. doi: [http://dx.doi.org/10.1175/JPO-D-11-039.1 http://dx.doi.org/10.1175/JPO-D-11-039.1].
 
==Definitions for the tide-independent characteristic numbers of tidal energy transport==


'''An automatic analysis is carried through by the computer program [[NCANALYSE]].'''
'''An automatic analysis is carried through by the computer program [[NCANALYSE]].'''


===Divergence of Horizontal Water Transport===
===Divergence of horizontal barotropic tidal energy transport===
(Mean) divergence (m3 s-1) of the horizontal volume flux within the period of analysis for all computational cells (control volumes).<br />
(Mean) divergence (MW) of horizontal barotropic energy flux within the period of analysis for all computational cells (control volumes). Divergence is actually computed taking
''No example graphics available yet''. <br />
* energy flux due to horizontal barotropic pressure work by the tidal wave, and
Data analysis: [[NCANALYSE]].
* flux of barotropic kinetic energy
 
into acount.<br />  
===Horizontal Volume Flux===
(Mean) horizontal volume flux (m3 s-1) for the period of analysis at computational edges (lateral faces of control volumes).<br />  
''No example graphics available yet''. <br />
''No example graphics available yet''. <br />
Data analysis: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Rainfall and Evaporation===
===Horizontal energy flux due to perturbation pressure work===
(Mean) volume flux (m3 s-1) within the period of analysis for computational cells (through surfaces of control volumes).<br />  
(Mean) horizontal energy flux (MW) for the period of analysis at edges (lateral faces of control volumes).<br />
''No example graphics available yet''. <br />
''No example graphics available yet''. <br />
Data analysis: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Sources and Sinks===
===Horizontal energy flux due to transport of kinetic energy===
(Mean) volume flux (m3 s-1) within the period of analysis due to sources and sinks within computational cells (control volumes).<br />  
(Mean) horizontal energy flux (MW) for the period of analysis at edges (lateral faces of control volumes).<br />  
''No example graphics available yet''. <br />
''No example graphics available yet''. <br />
Data analysis: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].

Latest revision as of 09:43, 21 October 2022


Motivation

Computation as well as visualization of the tide independent characteristic numbers of tidal barotropic energy transport gives some insight into the (mean)

  • local dissipation of tidal energy,
  • transmitted energy (work due to perturbation pressure) by the tidal wave, as well as the
  • flux of kinetic energy

within the period of data analysis.

From these, conclusions can be drawn with respect to the (residual) transport as well as dissipation of (barotropic) tidal energy. The mean energy flux is typically dominated by the perturbation pressure work of the tidal wave.

During computation within UNTRIM2007 and UNTRIM2 only the two most significant terms (processes) are taken into account so far (see above). For this reason dissipation can only be approximately determined. Its magnitude should be correct anyway for estuaries with significant tidal range.

Literature:

  1. Dujuan Kang and Oliver Fringer, 2012: Energetics of Barotropic and Baroclinic Tides in the Monterey Bay Area. Journal of Physical Oceanography, 42, 272–290. doi: http://dx.doi.org/10.1175/JPO-D-11-039.1.

Definitions for the tide-independent characteristic numbers of tidal energy transport

An automatic analysis is carried through by the computer program NCANALYSE.

Divergence of horizontal barotropic tidal energy transport

(Mean) divergence (MW) of horizontal barotropic energy flux within the period of analysis for all computational cells (control volumes). Divergence is actually computed taking

  • energy flux due to horizontal barotropic pressure work by the tidal wave, and
  • flux of barotropic kinetic energy

into acount.
No example graphics available yet.
Data analysis: NCANALYSE.

Horizontal energy flux due to perturbation pressure work

(Mean) horizontal energy flux (MW) for the period of analysis at edges (lateral faces of control volumes).
No example graphics available yet.
Data analysis: NCANALYSE.

Horizontal energy flux due to transport of kinetic energy

(Mean) horizontal energy flux (MW) for the period of analysis at edges (lateral faces of control volumes).
No example graphics available yet.
Data analysis: NCANALYSE.


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