Fluid Flow Linearized Open Cavity Model: Difference between revisions

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Description

Motivation

Figure 1: Open cavity geometry.

Considered data

The benchmark contains a set of frequency-domain reponses provided at varying frozen Reynolds parametric values. The numerical values data as inspired (but slightly modified) by the reference paper, given as Matlab data. This benchmark contains a set of frequency-domain/parametric-domain input-output data computed from a high fidelity simulator, and given as the triple

{ω_{i}, p_{j}, H_{i j}^{n_{y} \times n_{u}}}_{i = 1, j = 1}^{N, M},

where $H_{i j} \in ℂ^{n_{y} \times n_{u}}$ represents the transfer from $n_{u} = 1$ input signal (upward cavity pressure) to $n_{y} = 1$ measurement output (downward cavity pressure), evaluated at varying frequencies $ω_{i} \in ℝ$ [rad/s], for $i = 1, \dots, N = 421$ . Specifically, the frequencies are between 0.1Hz until 42.1Hz in steps of 0.1Hz.

Origin

Collaboration between ONERA DTIS (dynamical systems and information departement) and DAAA (Fluid mechanics departement). The data come from a fluid simulator (coded in FreeFem++). The model is constructed by D. Sipp and post-processing was performed jointly by P. Vuillemin and C. Poussot-Vassal.

Data

Description

Objective

Citation

To cite this benchmark, use the following references:

For the benchmark itself and its data:

The MORwiki Community, Fluid Flow Linearized Open Cavity Model. MORwiki - Model Order Reduction Wiki, 2021. https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Fluid_Flow_Linearized_Open_Cavity_Model

For the background on the benchmark:

@inproceedings{PoussotLPVS:2015,
  author    = {C. Poussot-Vassal and  D. Sipp},
  title     = Template:Parametric reduced order dynamical model construction of a fluid flow control problem,
  booktitle = {Proceedings of the 1st IFAC Workshop on Linear Parameter Varying Systems},
  address   = {Grenoble, France},
  month     = {October},
  year      = {2015},
  pages     = {133-138},
}

For the origin of the geometry from a fluid view point

@article{Barbagallo:2008,

Author = {A. Barbagallo and D. Sipp and P.J. Schmid}, Journal = {Journal of Fluid Mechanics}, Pages = {1-50}, Title = Template:Closed-loop control of an open cavity flow using reduced-order models, Volume = {641}, Year = {2008}

References

Contact

User:Poussotvassal

@@ Line 3: / Line 3: @@
 [[Category:benchmark]]
 [[Category:parametric]]
+[[Category:ODE]]
+[[Category:linear]]
+[[Category:time invariant]]
 [[Category:SISO]]
+[[Category:frequency data]]
+[[Category:data-driven]]
+==Description==
+===Motivation===
+<figure id="fig:cavity">[[File:cavity.png|450px|thumb|right|<caption>Open cavity geometry.</caption>]]</figure>
+===Considered data===
-==Description==
+The benchmark contains a set of frequency-domain reponses provided at varying frozen Reynolds parametric values. The numerical values data as inspired (but slightly modified) by the reference paper, given as Matlab data. This benchmark contains a set of frequency-domain/parametric-domain input-output data computed from a high fidelity simulator, and given as the triple
+:<math>
+\{\omega_i,p_j,H_{ij}^{n_y\times n_u}\}_{i=1,j=1}^{N,M},
+</math>
+where <math>H_{ij}\in\mathbb C^{n_y\times n_u}</math> represents the transfer from <math>n_u=1</math> input signal (upward cavity pressure) to <math>n_y=1</math> measurement output (downward cavity pressure), evaluated at varying frequencies <math>\omega_i\in\mathbb R</math> [rad/s], for <math>i=1,\dots,N=421</math>.
+Specifically, the frequencies are between 0.1Hz until 42.1Hz in steps of 0.1Hz.
 ==Origin==
+Collaboration between [https://www.onera.fr ONERA] DTIS (dynamical systems and information departement) and DAAA (Fluid mechanics departement). The data come from a fluid simulator (coded in FreeFem++). The model is constructed by D. Sipp and post-processing was performed jointly by P. Vuillemin  and C. Poussot-Vassal.
 ==Data==
+===Description===
+===Objective===
-==Dimensions==
+==Citation==
+To cite this benchmark, use the following references:
-==Citation==
+* For the benchmark itself and its data:
+::The MORwiki Community, '''Fluid Flow Linearized Open Cavity Model'''. MORwiki - Model Order Reduction Wiki, 2021. https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Fluid_Flow_Linearized_Open_Cavity_Model
+* For the background on the benchmark:
+ @inproceedings{PoussotLPVS:2015,
+   author    = {C. Poussot-Vassal and  D. Sipp},
+   title     = {{Parametric reduced order dynamical model construction of a fluid flow control problem}},
+   booktitle = {Proceedings of the 1st IFAC Workshop on Linear Parameter Varying Systems},
+   address   = {Grenoble, France},
+   month     = {October},
+   year      = {2015},
+   pages     = {133-138},
+ }
+* For the origin of the geometry from a fluid view point
+ @article{Barbagallo:2008,
+	Author = {A. Barbagallo and D. Sipp and P.J. Schmid},
+	Journal = {Journal of Fluid Mechanics},
+	Pages = {1-50},
+	Title = {{Closed-loop control of an open cavity flow using reduced-order models}},
+	Volume = {641},
+	Year = {2008}
+ }
 ==References==
+<references />
+==Contact==
+'' [[User:Poussotvassal]] ''