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		<title>Circular advection - Revision history</title>
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		<updated>2013-06-20T09:17:39Z</updated>
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	<entry>
		<id>http://www.cfd-online.com/W/index.php?title=Circular_advection&amp;diff=3011&amp;oldid=prev</id>
		<title>Praveen at 09:16, 30 September 2005</title>
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				<updated>2005-09-30T09:16:06Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The scalar advection equation&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;&lt;br /&gt;
\frac{\partial u}{\partial t} + \frac{\partial}{\partial x}(yu) - \frac{\partial}{\partial y}(xu)= 0&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
models advection along concentric circles. The characteristics are given by&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;&lt;br /&gt;
\frac{dx}{dt} = y, \quad \frac{dy}{dt} = -x&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
and they are concentric circles about the origin going in clockwise direction. Any given initial condition is advected in circles without change of shape or magnitude. This is a good test case for assessing the numerical viscosity in a scheme.&lt;br /&gt;
&lt;br /&gt;
==Advection of a hill==&lt;/div&gt;</summary>
		<author><name>Praveen</name></author>	</entry>

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