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<front>
<journal-meta>
<journal-id journal-id-type="publisher">NPG</journal-id>
<journal-title-group>
<journal-title>Nonlinear Processes in Geophysics</journal-title>
<abbrev-journal-title abbrev-type="publisher">NPG</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nonlin. Processes Geophys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7946</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/npg-20-935-2013</article-id>
<title-group>
<article-title>Asymmetric tide in Lake Vallunden (Spitsbergen)</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Marchenko</surname>
<given-names>A. V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Morozov</surname>
<given-names>E. G.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Svalbard University Center, Longyearbyen, Spitsbergen, Norway</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Sustainable Arctic Marine and Coastal Technology (SAMCoT), Centre for Research-Based Innovation (CRI), Norwegian University of Science and Technology, Trondheim, Norway</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia</addr-line>
</aff>
<pub-date pub-type="epub">
<day>04</day>
<month>11</month>
<year>2013</year>
</pub-date>
<volume>20</volume>
<issue>6</issue>
<fpage>935</fpage>
<lpage>944</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 A. V. Marchenko</copyright-statement>
<copyright-year>2013</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://npg.copernicus.org/articles/20/935/2013/npg-20-935-2013.html">This article is available from https://npg.copernicus.org/articles/20/935/2013/npg-20-935-2013.html</self-uri>
<self-uri xlink:href="https://npg.copernicus.org/articles/20/935/2013/npg-20-935-2013.pdf">The full text article is available as a PDF file from https://npg.copernicus.org/articles/20/935/2013/npg-20-935-2013.pdf</self-uri>
<abstract>
<p>We observed strongly asymmetric tide in a channel connecting the Van Mijen
Fjord and Lake Vallunden in Spitsbergen. The channel is approximately 100 m
long, 10 m wide, and 1–2 m deep. Asymmetric tide was also observed in the
lake. The form of the semidiurnal tide is described by a combination of only
three harmonics (&lt;i&gt;M&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;, &lt;i&gt;S&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt; and &lt;i&gt;M&lt;/i&gt;&lt;sub&gt;4&lt;/sub&gt;) with different amplitudes and
phases. The flood dominant form of the surface elevation in the channel
(unlike the ebb dominant tide in the fjord) is formed over a horizontal
distance of 50 m over a shallow bottom at the entrance to the channel. The
tide in shallow places becomes asymmetric due to nonlinear effects caused by
the influence of the bottom and especially by choking of the tidal flow over
a sill that is located between the fjord and channel. We think that such a
small distance, over which the form of the tide changes, is caused by the
small scale of the channel related to the fjord. We suggest a numerical model
related to these measurements.</p>
</abstract>
<counts><page-count count="10"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Aubrey, D. G. and Speer, P. E.: A study of non-linear tidal propagation in shallow inlet/estuarine systems, Part I: Observations, Estuarine, Coast. Shelf Sci., 21, 185–205, 1985.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Boon, J. D. and Byrne, R. J.: On basin hypsometry and the morphodynamic response of coastal inlets, Marine Geol., 40, 27–48, 1981.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Blanton, J. O., Lin, G. Q., and Elston, S. A.: Tidal current asymmetry in shallow estuaries and tidal creeks, Cont. Shelf Res., 22, 1731–1743, 2002.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Caline, F.: Coastal sea ice conditions around a breakwater in a microtidal, inner-fjord river delta in Svalbard, Ph. D. thesis, University Center in Svalbard, 2009.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Cheng, P., Valle-Levinson, A., and de Swart, H. E.: Residual currents induced by asymmetric tidal mixing in weakly stratified narrow estuaries, J. Phys. Oceanogr., 40, 2135–2147, 2010.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Dias, J. M. and Sousa, M. C.: Numerical modeling of Ria Formosa tidal dynamics, J. Coast. Res., 56, 1345–1349, 2009.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Dronkers, J.: Tidal asymmetry and estuarine morphology, Netherlands, J. Sea Res., 20, 117–131, 1986.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Farmer, D. M. and Freeland, H. J.: The physical oceanography of fjords, Prog. Oceanogr., 12, 147–219, 1983.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Fer, I. and Widell, K.: Early spring turbulent mixing in an ice-covered Arctic fjord during transition to melting, Cont. Shelf Res., 27, 1980–1999, 2007.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Friedrichs, C. T. and Aubrey, D. G.: Tidal propagation in strongly convergent channels, J. Geophys. Res., 99, 3321–3336, 1994.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Gallagher, B.: Model for nonlinear tides in small basins with openings of restricted depth, J. Geophys. Res., 78, 6395–6400, 1973.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Hoitink, A. J. F., Hoekstra, P., and van Maren, D. S.: Flow asymmetry associated with astronomical tides: Implications for the residual transport of sediment, J. Geophys. Res., 108, 3315–3323, &lt;a href=&quot;http://dx.doi.org/10.1029/2002JC001539&quot;&gt;https://doi.org/10.1029/2002JC001539&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Huang, H., Chen, C., Blanton, J. O., and Andrade, F. A.: Estuarine, Coastal and Shelf Science: A numerical study of tidal asymmetry in Okatee Creek, South Carolina, 78, 190–202, 2008.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Lanzoni, S. and Seminara, G.: On tide propagation in convergent estuaries, J. Geophys. Res., 103, 30793–30812, 1998.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">McClimans, T. A.: On the energetics of tidal inlets to land-locked fjords, Marine Sci. Comm., 4, 121–137, 1977.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Mirfendersk, H. and Tomlinson, R.: Living with sea-level rise and climate change: observation and analysis of hydrodynamic parameters in tidal inlets in a predominantly semidiurnal regime, J. Coast. Res., 24, 1229–1239, 2008.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Mofjeld, H. O.: Depth dependence of bottom stress and quadratic drag coefficient for barotropic pressure-driven currents, J. Phys. Oceanogr., 18, 1658–1669, 1988.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Nidzieko, N. J.: Tidal asymmetry in estuaries with mixed semidiurnal/diurnal tides, J. Geophys. Res., 115, C08006, &lt;a href=&quot;http://dx.doi.org/10.1029/2009JC005864&quot;&gt;https://doi.org/10.1029/2009JC005864&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Savenije, H. H. G. and Veling, E. J. M.: Relation between tidal damping and wave celerity in estuaries, J. Geophys. Res., 110, C04007, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JC002278&quot;&gt;https://doi.org/10.1029/2004JC002278&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Stigebrandt, A.: Some aspects of tidal interactions with fjord constrictions, Estuar. Coast. Mar. Sci., 2, 151–166, 1980.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Støylen, E. and Weber, E.: Mass transport induced by internal Kelvin waves beneath shore-fast ice, J. Geophys. Res., 115, C03022, https://doi.org/1029/2009JC005298, 2010.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Vladimirsky, N. P. (Ed.): Rukovodstvo po obrabotke I predskazaniu prilivov (1941), Gidrograficheskoe upravlenie VMF USSR, Leningrad, 347 pp., (Handbook for the Processing and Prediction of Tides), 2010.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Walton Jr., T. L.: Tidal velocity asymmetry at inlets, ERDC/CHL CHETN IV-47, US Army Engineer Research and Development Center, Vicksburg, MS, available at: &lt;a href=&quot;http://chl.erdc.usace.army.mil&quot;&gt;http://chl.erdc.usace.army.mil&lt;/a&gt;, last access: 27 September 2013, 2002.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Wrangborg, D., Grady, R., Marchenko, A., and Karulin, E.: Analysis of Tidal Deformations of Land Fast Ice in Shallow Arctic Fjord, Proceedings of the 22 International Conference on Port and Ocean Engineering under Arctic Conditions 9–13 June 2013, Espoo, Finland, 2013.</mixed-citation>
</ref>
</ref-list>
</back>
</article>