Global flow stability analysis and reduced order modeling for bluff-body flow control

• Autorzy: Morzyński M. , Noack B. R. , Tadmor G.

Warianty tytułu

PL

Globalna analiza stabilności i modelowanie niskowymiarowe w zastosowaniu do sterowania opływem ciał

• Języki publikacji: EN

Abstrakty

EN

In the present study, a hierarchy of control-oriented reduced order models (ROMs) for fluid flows is presented. Control design requires simplicity, accuracy and robustness from an online capable Galerkin model. These requirements imply low order of the associated dynamical system. Standard POD (praper orthogonal decomposition) Galerkin models may provide a low-dimensional representation of a given reference state. Yet, their narrow dynamic range and lack of robustness pose a challenge for control design. We propose key enablers to increase the dynamic range of the POD model. An 11-dimensional hybrid model is discussed which includes, in addition to 8 POD modes, a shift mode to resolve base-flow variations, and a complex global stability mode for enhanced description of the transient phase. The dimension is further reduced by a similarly accurate 3-dimensional generalized mean-field model employing a novel continuous mode interpolation technique between POD and stability eigenmodes. This method connects smoothly different operating conditions, different mode bases and even different boundary conditions, allowing the design of least-order, accurate Galerkin model for flow control purposes. The interpolation technique is employed to construct a priori flow model from the stability analysis and the Reynolds equation without the need for flow data.

PL

W pracy przedstawiono grupę modeli niskowymiarowych przeznaczoną do sterowania opływem ciał. Wymagania dotyczące modelu, takie jak prostota, dokładność i odporność wymagają ograniczenia liczby wymiarów. Standardowe modele Galerkina oparte o mody POD okazują się nieprzydatne do projektowania kontrolera, stąd jako rozwiązanie problemu zaproponowano modele hybrydowe oparte o mody globalnej analizy stabilności, mody POD i mod przesunięcia. Dodatkowo zaprezentowano nową koncepcję interpolacji modów, przez co możliwa jest konstrukcja parametrycznego modelu przepływu charakteryzującego się najmniejszą z możliwych liczbą wymiarów i płynną zmianą w zależności od stanu sterowanego przepływu. Metoda ciągłej interpolacji modów została zastosowana do konstrukcji modelu a priori przepływu, opartego jedynie o mody globalnej analizy stabilności.

Słowa kluczowe

EN

Reduced Order Models; control-oriented models; global flow stability; flow control; continuous mode interpolation

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2007
• Tom: Vol. 45 nr 3
• Strony: 621--642
• Opis fizyczny: Bibliogr. 44 poz., rys.

Twórcy

autor

Morzyński M.

autor

Noack B. R.

autor

Tadmor G.

• Poznań University of Technology, Institute of Combustion Engines and Transportation, Poland,

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