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Difference between revisions of "Supersonic Engine Inlet"

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==Description: Active Control of a Supersonic Engine Inlet==
 
==Description: Active Control of a Supersonic Engine Inlet==
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<figure id="fig1">[[File:Supersonic_Inlet1.png|700px|thumb|right|<caption>Steady-state Mach contours inside diffuser. Freestream Mach number
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is 2.2.</caption>]]</figure>
   
 
the benchmark description can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Supersonic%20Engine%20Inlet%20%2838866%29/files/fileinnercontentproxy.2010-01-31.5794999947 inlet.pdf]
 
the benchmark description can be found in [https://portal.uni-freiburg.de/imteksimulation/downloads/benchmark/Supersonic%20Engine%20Inlet%20%2838866%29/files/fileinnercontentproxy.2010-01-31.5794999947 inlet.pdf]
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<figure id="fig2">[[File:Supersonic_Inlet2.png|600px|thumb|right|<caption>Supersonic diffuser active flow control problem setup.</caption>]]</figure>
   
 
==Origin==
 
==Origin==

Revision as of 17:16, 24 April 2018

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Description: Active Control of a Supersonic Engine Inlet

Figure 1: Steady-state Mach contours inside diffuser. Freestream Mach number is 2.2.

the benchmark description can be found in inlet.pdf

Figure 2: Supersonic diffuser active flow control problem setup.

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.