Orr-Sommerfeld - Revision history

Malhotra: infobox string

2023-11-30T09:37:39Z

infobox string

@@ Line 3: / Line 3: @@
 [[Category:SISO]]
 [[Category:Dense]]
 ==Description: Orr-Sommerfeld Operator for Couette Flow==

Lund: remove stub and preliminary warnings

2022-08-26T07:52:21Z

remove stub and preliminary warnings

← Older revision		Revision as of 07:52, 26 August 2022
Line 1:		Line 1:
	~~{{preliminary}} <!-- Do not remove -->~~

	[[Category:benchmark]]		[[Category:benchmark]]
	[[Category:SLICOT]]		[[Category:SLICOT]]
	[[Category:SISO]]		[[Category:SISO]]
	[[Category:Dense]]		[[Category:Dense]]

	~~'''This is a stub. Please expand.'''~~

	==Description: Orr-Sommerfeld Operator for Couette Flow==		==Description: Orr-Sommerfeld Operator for Couette Flow==

Himpe: fix file link

2019-01-22T12:36:12Z

fix file link

← Older revision		Revision as of 12:36, 22 January 2019
Line 21:		Line 21:
	==Data==		==Data==

	The system matrix <math>A</math> is available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/~~eady~~.zip ~~eady~~.zip] and is stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.		The system matrix <math>A</math> is available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/Orr-Som.zip Orr-Som.zip] and is stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

	Note that the data file only contains an <math>A</math> matrix! For <math>B = C^\intercal		Note that the data file only contains an <math>A</math> matrix! For <math>B = C^\intercal

Himpe: init orr-sommerfeld

2018-08-08T10:44:19Z

init orr-sommerfeld

New page

{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:SISO]]
[[Category:Dense]]

'''This is a stub. Please expand.'''

==Description: Orr-Sommerfeld Operator for Couette Flow==

This benchmark models Orr-Sommerfeld Operator for a [[wikipedia:Couette_flow|Couette flow]].
More details can be found in <ref name="farrell01"/> and <ref name="chahlaoui02"/>, <ref name="chahlaoui05"/>.

==Origin==

This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>.

==Data==

The system matrix <math>A</math> is available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/eady.zip eady.zip] and is stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

Note that the data file only contains an <math>A</math> matrix! For <math>B = C^\intercal
</math> any normalized vector <math>B^\intercal B = 1</math>, can be chosen.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>A \in \mathbb{R}^{100 \times 100}</math>,
<math>B \in \mathbb{R}^{100 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 100}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::Niconet e.V., '''SLICOT - Subroutine Library in Systems and Control Theory''', http://www.slicot.org

@MANUAL{slicot_orrs,
title = {{SLICOT} - Subroutine Library in Systems and Control Theory},
organization = {Niconet e.V.}
address = <nowiki>{\url{http://www.slicot.org}}</nowiki>,
key = {SLICOT}
}

* For the background on the benchmark:

@ARTICLE{FarI01,
author = <nowiki>{B.F. Farrell and P.J. Ioannou}</nowiki>,
title = {Accurate Low-Dimensional Approximation of the Linear Dynamics of Fluid Flow},
journal = {Journal of the Atmospheric Sciences},
volume = {58},
number = {18},
pages = {2771--2789},
year = {2001},
doi = {10.1175/1520-0469(2001)058<2771:ALDAOT>2.0.CO;2}
}

==References==

<references>

<ref name="farrell01"> B.F. Farrell, P.J. Ioannou. [https://doi.org/10.1175/1520-0469(2001)058%3C2771:ALDAOT%3E2.0.CO;2 Accurate Low-Dimensional Approximation of the Linear Dynamics of Fluid Flow]. Journal of the Atmospheric Sciences, 58(18): 2771--2789, 2001.</ref>

<ref name="chahlaoui02"> Y. Chahlaoui, P. Van Dooren, [http://eprints.maths.manchester.ac.uk/1040/1/ChahlaouiV02a.pdf A collection of Benchmark examples for model reduction of linear time invariant dynamical systems], Working Note 2002-2: 2002.</ref>

<ref name="chahlaoui05"> Y. Chahlaoui, P. Van Dooren, [https://doi.org/10.1007/3-540-27909-1_24 Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.</ref>

</references>