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Difference between revisions of "Supersonic Engine Inlet"

(Added Supersonic Engine Inlet)
 
(Added dimensions section and added ref)
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==Origin==
 
==Origin==
   
This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38866.
+
This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38866, see also <ref name="willcox2005"/>.
   
 
==Data==
 
==Data==
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The size of the file is 5.4 MB.
 
The size of the file is 5.4 MB.
 
The matrix name is used as an extension of the matrix file.
 
The matrix name is used as an extension of the matrix file.
  +
  +
==Dimensions==
  +
  +
System structure:
  +
  +
:<math>
  +
\begin{align}
  +
E \dot{x}(t) &= Ax(t) + Bu(t) \\
  +
y(t) &= Cx(t)
  +
\end{align}
  +
</math>
  +
  +
System dimensions:
  +
  +
<math>E \in \mathbb{R}^{11730 \times 11730}</math>,
  +
<math>A \in \mathbb{R}^{11730 \times 11730}</math>,
  +
<math>B \in \mathbb{R}^{11730 \times 2}</math>,
  +
<math>C \in \mathbb{R}^{1 \times 11730}</math>
   
 
==References==
 
==References==
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<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>
 
<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection]</span>, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>
  +
  +
<ref name="willcox2005">K. Willcox , G. Lassaux, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_20 Model Reduction of an Actively Controlled Supersonic Diffuser]</span>. In: Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 357--361, 2005.</ref>
   
 
</references>
 
</references>

Revision as of 11:07, 1 March 2018

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Description: Active Control of a Supersonic Engine Inlet

the benchmark description can be found in inlet.pdf

Origin

This benchmark is part of the Oberwolfach Benchmark Collection[1]; No. 38866, see also [2].

Data

The matrices are in Matrix Market format inlet.tar.gz. The size of the file is 5.4 MB. The matrix name is used as an extension of the matrix file.

Dimensions

System structure:


\begin{align}
E \dot{x}(t) &= Ax(t) + Bu(t) \\
y(t) &= Cx(t)
\end{align}

System dimensions:

E \in \mathbb{R}^{11730 \times 11730}, A \in \mathbb{R}^{11730 \times 11730}, B \in \mathbb{R}^{11730 \times 2}, C \in \mathbb{R}^{1 \times 11730}

References

  1. J.G. Korvink, E.B. Rudnyi, Oberwolfach Benchmark Collection, Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.
  2. K. Willcox , G. Lassaux, Model Reduction of an Actively Controlled Supersonic Diffuser. In: Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 357--361, 2005.