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	<id>http://wiki.baw.de/en/index.php?action=history&amp;feed=atom&amp;title=Hydrodynamic_Numerical_Methods</id>
	<title>Hydrodynamic Numerical Methods - Revision history</title>
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	<updated>2026-04-17T12:14:47Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.baw.de/en/index.php?title=Hydrodynamic_Numerical_Methods&amp;diff=15254&amp;oldid=prev</id>
		<title>127.0.0.1: The LinkTitles extension automatically added links to existing pages (&lt;a target=&quot;_blank&quot; rel=&quot;nofollow noreferrer noopener&quot; class=&quot;external free&quot; href=&quot;https://github.com/bovender/LinkTitles&quot;&gt;https://github.com/bovender/LinkTitles&lt;/a&gt;).</title>
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		<updated>2022-10-21T10:17:26Z</updated>

		<summary type="html">&lt;p&gt;The LinkTitles extension automatically added links to existing pages (&amp;lt;a target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow noreferrer noopener&amp;quot; class=&amp;quot;external free&amp;quot; href=&amp;quot;https://github.com/bovender/LinkTitles&amp;quot;&amp;gt;https://github.com/bovender/LinkTitles&amp;lt;/a&amp;gt;).&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:17, 21 October 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File: Seb.Bild4.jpg|thumb|Graph 1: Calculated water level change caused by a PANMAX container ship]]  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File: Seb.Bild4.jpg|thumb|Graph 1: Calculated water level change caused by a PANMAX container ship]]  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Through use of the presently available computer hardware and a new form of the BOUSSINESQ equation describing the spreading of shallow wind generated water waves (NWOGU, 1993)&amp;lt;ref&amp;gt;NWOGU, O., Alternative form of Boussinesq equation for nearshore wave propagation, J. of Waterway, Port, Coastel and Ocean Engineering, Vol. 119, No. 6, ASCE, USA, 1993&amp;lt;/ref&amp;gt;, it was possible to simulate ship waves in laterally and depth limited waterways where the wave effects of refraction, shoaling, diffraction, reflection and most recently also current refraction as well as squat and trim (albeit at subcritical speed to date) could be included. Extensive calculations using the WAKE2D numerical model of the National Research Council of Canada - Canadian Hydraulic Center ([http://www.nrc-cnrc.gc.ca/eng/ibp/chc.html NRC-CHC, 1997]) &amp;lt;ref&amp;gt;NRC-CHC, Numerical Model Study of Ship-Induced Waves und Currents in the Elbe Estuary, Controlled Technical Report, HYD.CTR-093 (unpublished), Ottawa, Canada, 1997&amp;lt;/ref&amp;gt;were commissioned by the BAW-DH as part of an investigation of the Lower Elbe river. The results of the WAKE2D calculations show that the amplitudes of the short period waves are estimated to be much higher than those measured in the physical model.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Through use of the presently available computer hardware and a new form of the BOUSSINESQ equation describing the spreading of shallow wind generated water waves (NWOGU, 1993)&amp;lt;ref&amp;gt;NWOGU, O., Alternative form of Boussinesq equation for nearshore wave propagation, J. of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Waterway&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Port&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;, Coastel and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Ocean&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;Engineering, Vol. 119, No. 6, ASCE, USA, 1993&amp;lt;/ref&amp;gt;, it was possible to simulate ship waves in laterally and depth limited waterways where the wave effects of refraction, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;shoaling&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;, diffraction, reflection and most recently also current refraction as well as squat and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;trim&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;(albeit at subcritical speed to date) could be included. Extensive calculations using the WAKE2D numerical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;of the National Research Council of Canada - Canadian Hydraulic Center ([http://www.nrc-cnrc.gc.ca/eng/ibp/chc.html NRC-CHC, 1997]) &amp;lt;ref&amp;gt;NRC-CHC, Numerical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;Study of Ship-Induced Waves und Currents in the Elbe &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Estuary&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;, Controlled Technical Report, HYD.CTR-093 (unpublished), Ottawa, Canada, 1997&amp;lt;/ref&amp;gt;were commissioned by the BAW-DH as part of an investigation of the Lower Elbe river. The results of the WAKE2D calculations show that the amplitudes of the short period waves are estimated to be much higher than those measured in the physical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Other theoretical numerical methods for modeling currents around ships such as FANKAN (Fluid-Automaten-Net for Canals for large blockage factor ships; PAGEL/FÜHRER, 1989)&amp;lt;ref&amp;gt;PAGEL, W. und FÜHRER, M., Umströmungs- und Widerstandsverhalten völliger Schiffe bei Kanalfahrt. Ergebnisse einer diskreten Modellierung und ihrer experimentellen Verifizierung, Mitteilungen der Forschungsanstalt für Schiffahrt, Wasser- und Grundbau, Schriftenreihe Heft 3, Berlin, 1989&amp;lt;/ref&amp;gt;are not so far developed that they accurately discretize hydrodynamically optimized ship forms (e.g., a bulb-bow) and thus falsify the dynamic loading of sea waterways.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Other theoretical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Numerical Methods|&lt;/ins&gt;numerical methods&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;for modeling currents around ships such as FANKAN (Fluid-Automaten-Net for Canals for large blockage factor ships; PAGEL/FÜHRER, 1989)&amp;lt;ref&amp;gt;PAGEL, W. und FÜHRER, M., Umströmungs- und Widerstandsverhalten völliger Schiffe bei Kanalfahrt. Ergebnisse einer diskreten Modellierung und ihrer experimentellen Verifizierung, Mitteilungen der Forschungsanstalt für Schiffahrt, Wasser- und Grundbau, Schriftenreihe Heft 3, Berlin, 1989&amp;lt;/ref&amp;gt;are not so far developed that they accurately discretize hydrodynamically optimized ship forms (e.g., a bulb-bow) and thus falsify the dynamic loading of sea waterways.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Preliminary results using another model called SHALLOWTANK (CHEN, 1998)&amp;lt;ref&amp;gt;CHEN, X.-N., Schiffswellenbildung über einer querveränderlichen Topographie, Abstracts - 19. Duisburger Kolloquium Schiffstechnik/ Meerestechnik, Das Schiff für überkritische Fahrt, Duisburg, 1998&amp;lt;/ref&amp;gt; (CHEN/ULICZKA, 1999)&amp;lt;ref&amp;gt;CHEN, X.-N. und ULICZKA, K., On Ships in Natural Waterways, Proceedings of Int. Conf. on Coastal Ships and Inland Waterways, The Royal Institution of Naval Architects, Feb. 1999, London 1999&amp;lt;/ref&amp;gt; show qualitative, and to a certain degree, quantitative agreement with the measurements of ship runs acquired in the physical model of the BAW-DH. The SHALLOWTANK model has already been used for calculating ship induced loading for trans- and supercritical ship speeds (CHEN, 1997)&amp;lt;ref&amp;gt;CHEN, X.-N., Theoretische Grundlagen der Wellenwiderstandseliminierung bei überkritischer Fahrt, besonders durch den Einsatz gekrümmter Katamarane, Proceedings - 18. Duisburger Kolloquium Schiffstechnik/Meerestechnik, Das Schiff in begrenzten Gewässern, Duisburg, 1997&amp;lt;/ref&amp;gt;. It is conceivable that this program could be applied for calculating ship induced loading of inhomogeneous waterways when the necessary verification calculations for a validation have been performed.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Preliminary results using another &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;called SHALLOWTANK (CHEN, 1998)&amp;lt;ref&amp;gt;CHEN, X.-N., Schiffswellenbildung über einer querveränderlichen Topographie, Abstracts - 19. Duisburger Kolloquium Schiffstechnik/ Meerestechnik, Das Schiff für überkritische Fahrt, Duisburg, 1998&amp;lt;/ref&amp;gt; (CHEN/ULICZKA, 1999)&amp;lt;ref&amp;gt;CHEN, X.-N. und ULICZKA, K., On Ships in Natural Waterways, Proceedings of Int. Conf. on Coastal Ships and Inland Waterways, The Royal Institution of Naval Architects, Feb. 1999, London 1999&amp;lt;/ref&amp;gt; show qualitative, and to a certain degree, quantitative agreement with the measurements of ship runs acquired in the physical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;of the BAW-DH. The SHALLOWTANK &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;model&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;has already been used for calculating ship induced loading for trans- and supercritical ship speeds (CHEN, 1997)&amp;lt;ref&amp;gt;CHEN, X.-N., Theoretische Grundlagen der Wellenwiderstandseliminierung bei überkritischer Fahrt, besonders durch den Einsatz gekrümmter Katamarane, Proceedings - 18. Duisburger Kolloquium Schiffstechnik/Meerestechnik, Das Schiff in begrenzten Gewässern, Duisburg, 1997&amp;lt;/ref&amp;gt;. It is conceivable that this program could be applied for calculating ship induced loading of inhomogeneous waterways when the necessary verification calculations for a validation have been performed.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The WAKE2D and SHALLOWTANK models are &quot;state-of-research&quot; but are still somewhat scientifically controversial tools for studying ship-sea waterway interaction.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The WAKE2D and SHALLOWTANK models are &quot;state-of-research&quot; but are still somewhat scientifically controversial tools for studying ship-sea &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;waterway&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;interaction.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A reliable quantitative prognosis for ship induced loading of sea waterways can presently only be obtained using properly scaled physical models.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A reliable quantitative prognosis for ship induced loading of sea waterways can presently only be obtained using properly scaled physical models.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>127.0.0.1</name></author>
	</entry>
	<entry>
		<id>http://wiki.baw.de/en/index.php?title=Hydrodynamic_Numerical_Methods&amp;diff=3214&amp;oldid=prev</id>
		<title>imported&gt;Spohr Susanne: Created page with &#039;de:Hydrodynamisch-numerische Methoden Graph 1: Calculated water level change caused by a PANMAX container ship   Through use of the presently av…&#039;</title>
		<link rel="alternate" type="text/html" href="http://wiki.baw.de/en/index.php?title=Hydrodynamic_Numerical_Methods&amp;diff=3214&amp;oldid=prev"/>
		<updated>2010-10-08T14:47:00Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;&lt;a href=&quot;http://wiki.baw.de/de/index.php/Hydrodynamisch-numerische_Methoden&quot; class=&quot;extiw&quot; title=&quot;de:Hydrodynamisch-numerische Methoden&quot;&gt;de:Hydrodynamisch-numerische Methoden&lt;/a&gt; &lt;a href=&quot;/en/index.php?title=File:Seb.Bild4.jpg&quot; title=&quot;File:Seb.Bild4.jpg&quot;&gt;thumb|Graph 1: Calculated water level change caused by a PANMAX container ship&lt;/a&gt;   Through use of the presently av…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[de:Hydrodynamisch-numerische Methoden]]&lt;br /&gt;
[[File: Seb.Bild4.jpg|thumb|Graph 1: Calculated water level change caused by a PANMAX container ship]] &lt;br /&gt;
&lt;br /&gt;
Through use of the presently available computer hardware and a new form of the BOUSSINESQ equation describing the spreading of shallow wind generated water waves (NWOGU, 1993)&amp;lt;ref&amp;gt;NWOGU, O., Alternative form of Boussinesq equation for nearshore wave propagation, J. of Waterway, Port, Coastel and Ocean Engineering, Vol. 119, No. 6, ASCE, USA, 1993&amp;lt;/ref&amp;gt;, it was possible to simulate ship waves in laterally and depth limited waterways where the wave effects of refraction, shoaling, diffraction, reflection and most recently also current refraction as well as squat and trim (albeit at subcritical speed to date) could be included. Extensive calculations using the WAKE2D numerical model of the National Research Council of Canada - Canadian Hydraulic Center ([http://www.nrc-cnrc.gc.ca/eng/ibp/chc.html NRC-CHC, 1997]) &amp;lt;ref&amp;gt;NRC-CHC, Numerical Model Study of Ship-Induced Waves und Currents in the Elbe Estuary, Controlled Technical Report, HYD.CTR-093 (unpublished), Ottawa, Canada, 1997&amp;lt;/ref&amp;gt;were commissioned by the BAW-DH as part of an investigation of the Lower Elbe river. The results of the WAKE2D calculations show that the amplitudes of the short period waves are estimated to be much higher than those measured in the physical model.&lt;br /&gt;
&lt;br /&gt;
Other theoretical numerical methods for modeling currents around ships such as FANKAN (Fluid-Automaten-Net for Canals for large blockage factor ships; PAGEL/FÜHRER, 1989)&amp;lt;ref&amp;gt;PAGEL, W. und FÜHRER, M., Umströmungs- und Widerstandsverhalten völliger Schiffe bei Kanalfahrt. Ergebnisse einer diskreten Modellierung und ihrer experimentellen Verifizierung, Mitteilungen der Forschungsanstalt für Schiffahrt, Wasser- und Grundbau, Schriftenreihe Heft 3, Berlin, 1989&amp;lt;/ref&amp;gt;are not so far developed that they accurately discretize hydrodynamically optimized ship forms (e.g., a bulb-bow) and thus falsify the dynamic loading of sea waterways.&lt;br /&gt;
&lt;br /&gt;
Preliminary results using another model called SHALLOWTANK (CHEN, 1998)&amp;lt;ref&amp;gt;CHEN, X.-N., Schiffswellenbildung über einer querveränderlichen Topographie, Abstracts - 19. Duisburger Kolloquium Schiffstechnik/ Meerestechnik, Das Schiff für überkritische Fahrt, Duisburg, 1998&amp;lt;/ref&amp;gt; (CHEN/ULICZKA, 1999)&amp;lt;ref&amp;gt;CHEN, X.-N. und ULICZKA, K., On Ships in Natural Waterways, Proceedings of Int. Conf. on Coastal Ships and Inland Waterways, The Royal Institution of Naval Architects, Feb. 1999, London 1999&amp;lt;/ref&amp;gt; show qualitative, and to a certain degree, quantitative agreement with the measurements of ship runs acquired in the physical model of the BAW-DH. The SHALLOWTANK model has already been used for calculating ship induced loading for trans- and supercritical ship speeds (CHEN, 1997)&amp;lt;ref&amp;gt;CHEN, X.-N., Theoretische Grundlagen der Wellenwiderstandseliminierung bei überkritischer Fahrt, besonders durch den Einsatz gekrümmter Katamarane, Proceedings - 18. Duisburger Kolloquium Schiffstechnik/Meerestechnik, Das Schiff in begrenzten Gewässern, Duisburg, 1997&amp;lt;/ref&amp;gt;. It is conceivable that this program could be applied for calculating ship induced loading of inhomogeneous waterways when the necessary verification calculations for a validation have been performed.&lt;br /&gt;
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The WAKE2D and SHALLOWTANK models are &amp;quot;state-of-research&amp;quot; but are still somewhat scientifically controversial tools for studying ship-sea waterway interaction.&lt;br /&gt;
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A reliable quantitative prognosis for ship induced loading of sea waterways can presently only be obtained using properly scaled physical models.&lt;br /&gt;
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== References ==&lt;br /&gt;
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[[Overview]]&lt;/div&gt;</summary>
		<author><name>imported&gt;Spohr Susanne</name></author>
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