Fluid Flow Linearized Open Cavity Model

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Description

Motivation

File:Cavity.png

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

$\{\omega_i,p_j,H_{ij}^{n_y\times n_u}\}_{i=1,j=1}^{N,M},$

where $H_{ij}\in\mathbb C^{n_y\times n_u}$ 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 $\omega_i\in\mathbb R$ [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.

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 with a dynamical and control engineering point of view:

@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 background on the benchmark with a fluid-flow point of view:

@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}
}

Contact

Charles Poussot-Vassal