An adjoint-based shape optimization approach for supersonic turbine cascades is proposed for application to organic Rankine cycle (ORC) turbines. The algorithm is based on an inviscid discrete adjoint method and encompasses a fast look-up table (LuT) approach to accurately deal with real-gas flows. The turbine geometry is defined by adopting state-of-the-art parameterization techniques (NURBS), enabling to handle both global and local control of the shape of interest. A preconditioned steepest descent method has been chosen as gradient-based optimization algorithm to efficiently search for the nearest minimum. The potential of the optimization approach is first verified by application on the redesign of an existing converging–diverging turbine nozzle operating in thermodynamic regions characterized by relevant real-gas effects. A significant efficiency improvement and a more uniform flow at the blade outlet section are achieved, with expected beneficial effects on the aerodynamics of the downstream rotor. The optimized configuration is also assessed by means of high-fidelity turbulent simulations, which point out the capability of the present inviscid approach in optimizing supersonic turbine cascades with very limited computational burdens. Finally, the newly developed real-gas adjoint method is compared against adjoints based on ideal equations of state on the same design problem. Results show that the performance gain obtained by a fully real-gas optimization strategy is by far higher than that achieved with simplified approaches in case of ORC turbines. This proves the relevance of including accurate thermodynamic models in all steps of ORC turbine design.
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March 2015
Research-Article
Adjoint Method for Shape Optimization in Real-Gas Flow Applications
M. Pini,
M. Pini
Assistant Professor
Propulsion and Power,
Aerospace Engineering Faculty,
e-mail: m.pini@tudelft.nl
Propulsion and Power,
Aerospace Engineering Faculty,
Delft University of Technology
,Kluyverweg 1
,Delft 2629 HS, The Netherlands
e-mail: m.pini@tudelft.nl
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G. Persico,
G. Persico
Assistant Professor
Laboratorio di Fluidodinamica delle Macchine,
e-mail: giacomo.persico@polimi.it
Laboratorio di Fluidodinamica delle Macchine,
Dipartimento di Energia
,Politecnico di Milano
,via Lambruschini, 4
,Milano 20156
, Italy
e-mail: giacomo.persico@polimi.it
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D. Pasquale,
D. Pasquale
Dipartimento di Ingegneria
Meccanica e Industriale,
e-mail: david.pasquale@ing.unibs.it
Meccanica e Industriale,
Universitá degli studi di Brescia
,via Branze, 38
,Brescia 25123
, Italy
e-mail: david.pasquale@ing.unibs.it
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S. Rebay
S. Rebay
Associate Professor
Dipartimento di Ingegneria
Meccanica e Industriale,
e-mail: stefano.rebay@ing.unibs.it
Dipartimento di Ingegneria
Meccanica e Industriale,
Universitá degli studi di Brescia
,via Branze, 38
,Brescia 25123
, Italy
e-mail: stefano.rebay@ing.unibs.it
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M. Pini
Assistant Professor
Propulsion and Power,
Aerospace Engineering Faculty,
e-mail: m.pini@tudelft.nl
Propulsion and Power,
Aerospace Engineering Faculty,
Delft University of Technology
,Kluyverweg 1
,Delft 2629 HS, The Netherlands
e-mail: m.pini@tudelft.nl
G. Persico
Assistant Professor
Laboratorio di Fluidodinamica delle Macchine,
e-mail: giacomo.persico@polimi.it
Laboratorio di Fluidodinamica delle Macchine,
Dipartimento di Energia
,Politecnico di Milano
,via Lambruschini, 4
,Milano 20156
, Italy
e-mail: giacomo.persico@polimi.it
D. Pasquale
Dipartimento di Ingegneria
Meccanica e Industriale,
e-mail: david.pasquale@ing.unibs.it
Meccanica e Industriale,
Universitá degli studi di Brescia
,via Branze, 38
,Brescia 25123
, Italy
e-mail: david.pasquale@ing.unibs.it
S. Rebay
Associate Professor
Dipartimento di Ingegneria
Meccanica e Industriale,
e-mail: stefano.rebay@ing.unibs.it
Dipartimento di Ingegneria
Meccanica e Industriale,
Universitá degli studi di Brescia
,via Branze, 38
,Brescia 25123
, Italy
e-mail: stefano.rebay@ing.unibs.it
Contributed by the Turbomachinery Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received May 24, 2014; final manuscript received June 26, 2014; published online October 14, 2014. Editor: David Wisler.
J. Eng. Gas Turbines Power. Mar 2015, 137(3): 032604 (13 pages)
Published Online: October 14, 2014
Article history
Received:
May 24, 2014
Revision Received:
June 26, 2014
Citation
Pini, M., Persico, G., Pasquale, D., and Rebay, S. (October 14, 2014). "Adjoint Method for Shape Optimization in Real-Gas Flow Applications." ASME. J. Eng. Gas Turbines Power. March 2015; 137(3): 032604. https://doi.org/10.1115/1.4028495
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