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<front>
<journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/hess-11-559-2007</article-id>
<title-group>
<article-title>Harmonic analysis of the stability of reverse routing in channels</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Bruen</surname>
<given-names>M.</given-names>
</name>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dooge</surname>
<given-names>J. C. I.</given-names>
</name>
</contrib>
</contrib-group><pub-date pub-type="epub">
<day>17</day>
<month>01</month>
<year>2007</year>
</pub-date>
<volume>11</volume>
<issue>1</issue>
<fpage>559</fpage>
<lpage>568</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2007 M. Bruen</copyright-statement>
<copyright-year>2007</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by-nc-sa/2.5/">https://creativecommons.org/licenses/by-nc-sa/2.5/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://hess.copernicus.org/articles/11/559/2007/hess-11-559-2007.html">This article is available from https://hess.copernicus.org/articles/11/559/2007/hess-11-559-2007.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/11/559/2007/hess-11-559-2007.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/11/559/2007/hess-11-559-2007.pdf</self-uri>
<abstract>
<p>Normal downstream routing of a flood flow is a highly stable process for Froude numbers less than 1 and hence the results are reliable. In contrast, reverse routing in an upstream direction, which may be required for flow control, is potentially unstable. This paper reports the results of a study of the practical limits on channel lengths for reverse routing. Harmonic analysis is applied to the full non-linear solution of the St. Venant equations for three different wave patterns and two different wave periods, for a particular channel with a Froude number of 0.5. Reverse routing can be done for prismatic channels longer than 100 km. For long periods (&gt;10 hours) the shape of the upstream hydrograph is recovered well. However, when the wave period is short (&lt;1 hour), the high frequency components of the upstream hydrograph and, thus, its shape, are not recovered. These limits are influenced by the channel morphology and shape of the wave. Further work is needed to determine how these factors interact.</p>
</abstract>
<counts><page-count count="10"/></counts>
</article-meta>
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