Difference between revisions of "User:Hoogs/Sandpit"

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Define the ''convective'', ''total'' or ''material'' [http://en.wikipedia.org/wiki/Convective_derivative ''material'' derivative] operator as
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<div style="font-size:162%; border:none; margin:0; padding:.1em; color:#000;">Unofficial OpenFOAM wiki</div>
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\frac{D}{Dt} = \frac{\partial}{\partial t} + \mathbf{U} \cdot \nabla
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This relates the rate of change of a quantity within an infinitesimal control fluid volume that we would witness if we were riding with it along a streamline (Lagrangian viewpoint), to the rate of change of the quantity that a stationary observer would witness from their vantage point on the streamline (Eulerian viewpoint).
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| width=25% align=center | [http://www.opencfd.co.uk/openfoam/doc/user.html '''User Guide''']
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| width=25% align=center | [http://openfoam.cfd-online.com/cgi-bin/forum/discus.cgi '''Forum''']
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| width=25% align=center | [[About this wiki]]
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| width=25% align=center | [http://foam.sourceforge.net/doc/Doxygen/html/ '''Doxygen''']
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! <h2 style="margin:0; background:#bff8bf; font-size:120%; font-weight:bold; border:1px solid #00bc00; text-align:left; color:#000; padding:0.2em 0.4em;">Documentation</h2>
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* [http://www.opencfd.co.uk/openfoam/doc/user.html User Guide]
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* [http://foam.sourceforge.net/doc/Guides-a4/ProgrammersGuide.pdf Advanced Guide]
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* [http://foam.sourceforge.net/doc/Doxygen/html/ Source Code]
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! <h2 style="margin:0; background:#def6de; font-size:120%; font-weight:bold; border:1px solid #00bc00; text-align:left; color:#000; padding:0.2em 0.4em;">Other software</h2>
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* Pre | [http://www.salome-platform.org/home/presentation/overview/ Salome] | Item | etc
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* Post | [http://www.paraview.org/New/index.html Paraview] | Item | etc
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! <h2 style="margin:0; background:#c6c6f3; font-size:120%; font-weight:bold; border:1px solid #0000bc; text-align:left; color:#000; padding:0.2em 0.4em;">Usage</h2>
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* [http://en.wikipedia.org/wiki/OpenFOAM About OpenFOAM]
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* [http://www.opencfd.co.uk/openfoam/download.html#download Download]
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* [[Main FAQ|OpenFOAM FAQ]]
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! <h2 style="margin:0; background:#dcdcf4; font-size:120%; font-weight:bold; border:1px solid #0000bc; text-align:left; color:#000; padding:0.2em 0.4em;">Tips and Tricks</h2>
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* Install
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Item3 | Item4 | Item5
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! <h2 style="margin:0; background:#f4c1c1; font-size:120%; font-weight:bold; border:1px solid #bc0000; text-align:left; color:#000; padding:0.2em 0.4em;">Development</h2>
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! <h2 style="margin:0; background:#f6dede; font-size:120%; font-weight:bold; border:1px solid #bc0000; text-align:left; color:#000; padding:0.2em 0.4em;">News</h2>
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OpenCFD commences testing of 1.5beta
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2008: Most of the developments for this release are in: new applications, e.g. for multiphase flow and cavitation, buoyancy-flow and heat transfer, high speed flows and even molecular dynamics; new utilities, e.g. for meshing and case monitoring; and, new modelling, e.g. in Lagrangian particle tracking, radiation and rotating frames of reference. [http://www.opencfd.co.uk/openfoam/version1.5beta.html source]
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[[News archive]]
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| align=center | '''[[Main Policy|Rules and Guidelines]]''' | [[Site News]] | [[Main TestSite|Wiki sandpits]]
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Latest revision as of 00:00, 21 September 2009

Define the convective, total or material material derivative operator as


\frac{D}{Dt} = \frac{\partial}{\partial t} + \mathbf{U} \cdot \nabla

This relates the rate of change of a quantity within an infinitesimal control fluid volume that we would witness if we were riding with it along a streamline (Lagrangian viewpoint), to the rate of change of the quantity that a stationary observer would witness from their vantage point on the streamline (Eulerian viewpoint).