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	<entry>
		<id>http://www.wiki.mohid.com/index.php?title=Relaxation&amp;diff=811</id>
		<title>Relaxation</title>
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				<updated>2007-11-30T12:01:48Z</updated>
		
		<summary type="html">&lt;p&gt;192.168.23.108: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Relaxation schemes are used in [[MOHID Water]] to relax computed solutions to a reference solution. The standard method follows the equation: &lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt; \frac{\partial \phi}{\partial t} =  \frac{ \phi_{ref} - \phi}{\tau}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is the relaxed variable, &amp;lt;math&amp;gt;\phi_{ref}&amp;lt;/math&amp;gt; is the reference solution and &amp;lt;math&amp;gt;\tau&amp;lt;/math&amp;gt; relaxation time scale. &lt;br /&gt;
&lt;br /&gt;
In MOHID Water, the reference fields and the relaxation time scales are read and handled by [[Module Assimilation]]. The relaxation algorithm itself is implemented in [[Module Hydrodynamic]] and [[Module WaterProperties]] to apply the relaxation scheme to properties such as velocity U, velocity V, water level, temperature, salinity, etc. It is normally applied in the boundary condition computation, usually when [[nesting models]] or using a climatological reference field, via the definition of a &amp;quot;sponge layer&amp;quot; around the open boundary. However it can also be applied to the entire simulation domain.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category: MOHID Water]]&lt;/div&gt;</summary>
		<author><name>192.168.23.108</name></author>	</entry>

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