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...

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Main Authors: M. Lorenz, K. Klingbeil, P. MacCready, H. Burchard
Format: Article
Language:English
Published: Copernicus Publications 2019-05-01
Series:Ocean Science
Online Access:https://www.ocean-sci.net/15/601/2019/os-15-601-2019.pdf
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spelling doaj-f2e1261295c34a77bb74bcfed55431b92020-11-25T01:48:02ZengCopernicus PublicationsOcean Science1812-07841812-07922019-05-011560161410.5194/os-15-601-2019Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulationM. Lorenz0K. Klingbeil1P. MacCready2H. Burchard3Leibniz Institute for Baltic Sea Research Warnemünde, Physical Oceanography and Instumentation, Rostock, GermanyLeibniz Institute for Baltic Sea Research Warnemünde, Physical Oceanography and Instumentation, Rostock, GermanyUniversity of Washington, College of Environment, School of Oceanography, Seattle, WA, USALeibniz Institute for Baltic Sea Research Warnemünde, Physical Oceanography and Instumentation, Rostock, Germany<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>https://www.ocean-sci.net/15/601/2019/os-15-601-2019.pdf
collection DOAJ
language English
format Article
sources DOAJ
author M. Lorenz
K. Klingbeil
P. MacCready
H. Burchard
spellingShingle M. Lorenz
K. Klingbeil
P. MacCready
H. Burchard
Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
Ocean Science
author_facet M. Lorenz
K. Klingbeil
P. MacCready
H. Burchard
author_sort M. Lorenz
title Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
title_short Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
title_full Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
title_fullStr Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
title_full_unstemmed Numerical issues of the Total Exchange Flow (TEF) analysis framework for quantifying estuarine circulation
title_sort numerical issues of the total exchange flow (tef) analysis framework for quantifying estuarine circulation
publisher Copernicus Publications
series Ocean Science
issn 1812-0784
1812-0792
publishDate 2019-05-01
description <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>
url https://www.ocean-sci.net/15/601/2019/os-15-601-2019.pdf
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