Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
<p>For more than a century, estuarine exchange flow has been quantified by means of the Knudsen relations which connect bulk quantities such as inflow and outflow volume fluxes and salinities. These relations are closely linked to estuarine mixing. The recently developed Total Exchange Flow (T...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2019-05-01
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| Series: | Ocean Science |
| Online Access: | https://www.ocean-sci.net/15/601/2019/os-15-601-2019.pdf |
| Summary: | <p>For more than a century, estuarine exchange flow has been quantified by means
of the Knudsen relations which connect bulk quantities such as inflow and
outflow volume fluxes and salinities. These relations are closely linked to
estuarine mixing. The recently developed Total Exchange Flow (TEF) analysis framework, which uses
salinity coordinates to calculate these bulk quantities, allows an exact
formulation of the Knudsen relations in realistic cases. There are however
numerical issues, since the original method does not converge to the TEF bulk
values for an increasing number of salinity classes. In the present study,
this problem is investigated and the method of dividing salinities,
described by <span class="cit" id="xref_text.1"><a href="#bib1.bibx20">MacCready et al.</a> (<a href="#bib1.bibx20">2018</a>)</span>, is mathematically introduced. A
challenging yet compact analytical scenario for a well-mixed estuarine
exchange flow is investigated for both methods, showing the proper
convergence of the dividing salinity method. Furthermore, the dividing
salinity method is applied to model results of the Baltic Sea to demonstrate
the analysis of realistic exchange flows and exchange flows with more than
two layers.</p> |
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| ISSN: | 1812-0784 1812-0792 |