Jacobian in Cantera - Revision history

Admin at 07:17, 17 April 2017

2017-04-17T07:17:12Z

2013-03-21T03:32:07Z

← Older revision		Revision as of 03:32, 21 March 2013
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	The Jacobian matrix is constructed in Cantera by the one-dimensional domain.		The Jacobian matrix is constructed in Cantera by the one-dimensional domain.

	The hierarchy of domains/points/species is described in one of Dave Goodwin's presentations (available at file http://~~files~~.~~charlesmartinreid~~.~~com~~/~~Cantera_Flames~~.pdf )		The hierarchy of domains/points/species is described in one of Dave Goodwin's presentations (available at file http://www.et.byu.edu/~tom/classes/641/Cantera/Workshop/flames.pdf )

	[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]		[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]

2011-05-30T11:18:37Z

2011-05-30T11:18:32Z

2011-05-25T22:31:20Z

Creating Symbolic Jacobian

← Older revision		Revision as of 22:31, 25 May 2011
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	and search for <code>ctml::get_CTML_Tree</code>.		and search for <code>ctml::get_CTML_Tree</code>.

			An example CTML file is in

			<pre>
			/path/to/cantera/test_problems/cxx_ex/gri30.xml
			</pre>

			==Pseudocode==

			<pre>
			Get base XML node
			For each <phase>
			For each species in <speciesArray>
			Create new Ginac variable
			End
			End

			For each <reaction>
			For each species
			If reaction contains species i
			Construct source term expression for given reaction for given species
			Add source term expression to overall source term for given species
			End
			End
			End
			</pre>

2011-05-25T22:23:53Z

Creating Symbolic Jacobian

← Older revision		Revision as of 22:23, 25 May 2011
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	<pre>		<pre>
	/path/to/cantera/Cantera/src/base/ctml.h		/path/to/cantera/Cantera/src/base/ctml.h
			/path/to/cantera/Cantera/src/base/xml.h
	</pre>		</pre>

2011-05-25T22:21:41Z

@@ Line 188: / Line 188: @@
 oStream.close();
 </source>
 [[Category:Combustion]]
 [[Category:Cantera]]

2011-05-25T22:02:48Z

← Older revision		Revision as of 22:02, 25 May 2011
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	[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]		[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]



	~~Each domain creates a 1D domain.~~

	=Background Info=		=Background Info=
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	oStream.close();		oStream.close();
	</source>		</source>


			[[Category:Combustion]]
			[[Category:Cantera]]

2011-05-25T22:02:02Z

← Older revision		Revision as of 22:02, 25 May 2011
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	The Jacobian matrix is constructed in Cantera by the one-dimensional domain. The hierarchy is described in ~~the~~ file http://files.charlesmartinreid.com/Cantera_Flames.pdf		The Jacobian matrix is constructed in Cantera by the one-dimensional domain.

			The hierarchy of domains/points/species is described in one of Dave Goodwin's presentations (available at file http://files.charlesmartinreid.com/Cantera_Flames.pdf )

	[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]		[[Image:DomainPointVarBreakdown.png\|450px\|Source: Dave Goodwin.]]

2011-05-25T21:42:55Z

Jacobian Matrix

← Older revision		Revision as of 21:42, 25 May 2011
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	==Jacobian Matrix==		==Jacobian Matrix==

	~~(insert stuff here)~~		The Jacobian matrix of the chemical source terms looks like this:

			<math>
			J = \left\|
			\begin{array}{ccc}
			\frac{ \partial \dot{y}_1 }{ \partial y_1 } & \cdots & \frac{ \partial \dot{y}_n }{ \partial y_n } \\
			\cdots & \cdots & \cdots \\
			\frac{ \partial \dot{y}_n }{ \partial y_1 } & \cdots & \frac{ \partial \dot{y}_n }{ \partial y_n }
			\end{array}
			\right\|
			</math>

	==Cantera Classes==		==Cantera Classes==