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===Considered data=== |
===Considered data=== |
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− | The benchmark contains a set of complex-domain reponses provided at varying real frozen Reynolds parametric values. The numerical values data as inspired (but slightly modified) from the reference paper given below and are provided as Matlab data. More specifically, This benchmark contains a set of complex-domain/parametric(real)-domain input-output data computed from a high dimensional |
+ | The benchmark contains a set of complex-domain reponses provided at varying real frozen Reynolds parametric values. The numerical values data as inspired (but slightly modified) from the reference paper given below and are provided as Matlab data. More specifically, This benchmark contains a set of complex-domain/parametric(real)-domain input-output data computed from a high dimensional linear descriptor model given as (where <math>n\approx 700,000</math>): |
− | + | <math> |
|
+ | E \dot x = Ax + Bu \text{ , } y=Cx \text{ where } E,A \in \mathbb R^{n\times n} |
||
− | E \dot x = |
||
</math> |
</math> |
||
which matrices havec been obtained after Navier and Stokes linearuisation around a Reynolds number, from a fidelity simulator. |
which matrices havec been obtained after Navier and Stokes linearuisation around a Reynolds number, from a fidelity simulator. |
||
− | The data are given as the triple |
+ | The data are given as the triple: |
− | + | <math> |
|
\{\xi_i,p_j,H_{ij}^{n_y\times n_u}\}_{i=1,j=1}^{N+1,M}, |
\{\xi_i,p_j,H_{ij}^{n_y\times n_u}\}_{i=1,j=1}^{N+1,M}, |
||
</math> |
</math> |
Revision as of 14:24, 4 June 2021
Note: This page has not been verified by our editors.
Description
Motivation
Considered data
The benchmark contains a set of complex-domain reponses provided at varying real frozen Reynolds parametric values. The numerical values data as inspired (but slightly modified) from the reference paper given below and are provided as Matlab data. More specifically, This benchmark contains a set of complex-domain/parametric(real)-domain input-output data computed from a high dimensional linear descriptor model given as (where ):
which matrices havec been obtained after Navier and Stokes linearuisation around a Reynolds number, from a fidelity simulator.
The data are given as the triple:
where
represents the transfer from
input signal (upward cavity pressure) to
measurement output (downward cavity pressure), evaluated at varying frequencies
[rad/s], for
.
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 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} }
References