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Multidisciplinary and multiple operating points shape optimization of three-dimensional compressor blades

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Abstract

The recent progress in simulation technologies in several fields such as computational fluid dynamics, structures, thermal analysis, and unsteady flow combined with the emergence of improved optimization algorithms makes it now possible to develop and use automatic optimization software and methodologies to perform complex multidisciplinary shape optimization process. In the present applications, the MAX optimization software developed at CENAERO is used to perform the optimization. This software allows performing derivative free optimization with very few calls to the computer intensive simulation software. The method employed in this paper combines the use of a genetic algorithm (with real coding of the variables) to an approximate (or meta) model to accelerate significantly the optimization process. The performance of this optimization methodology is illustrated on the optimization of three-dimensional turbomachinery blades for multiple operating points and multidisciplinary objectives and constraints. The NASA rotor 67 geometry is used to demonstrate the capabilities of the method. The aim is to find the optimal shape for three different operating conditions: one at a near peak efficiency point, one at choked mass flow, and one near the stall flow. The three points are analyzed at the same blade rotational speed but with different mass flows. A finite element structural mechanics software is used to compute the static and dynamic mechanical responses of the blade. A Navier–Stokes solver is used to calculate the aerodynamic performance. High performance computers (HPC) are used in this application. Cenaero’s HPC infrastructure contains a Linux cluster with 170 3.06 GHz Xeon processors. The optimization algorithm is parallelized using MPI.

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References

  • Arnone A (1994) Viscous analysis of three-dimensional rotor flow using a multigrid method. J Turbomach 116:435–445

    Article  Google Scholar 

  • Arnone A, Marconcini M, Scotti Del Greco A (2003) Numerical investigation of three-dimensional clocking effects in a low pressure turbine. ASME 2003-GT-38414, ASME Turbo Expo Conference 2003, Altanta, Georgia, USA

  • Bishop CM (1995) Neural networks for pattern recognition. Oxford University Press, New York

    MATH  Google Scholar 

  • Bontempi G, Bersini H, Birattari M (2001) The local paradigm for modeling and control: from neuro-fuzzy to lazy learning. Fuzzy Sets Syst 121:59–72

    Article  MATH  MathSciNet  Google Scholar 

  • Chung HS, Alonso JJ (2002) Using gradients to construct cokriging approximation models for high-dimensional design optimization problems. AIAA 2002-0317—\(40^{th}\) AIAA Aerospace Sciences Meeting and Exhibit, January 14–17, 2002/Reno NV

  • Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186:311–338

    Article  MATH  Google Scholar 

  • Doi H, Alonso JJ (2002) Fluid/Structure coupled aeroelastic computations for transonic flows in turbomachinery. ASME GT-2002-30313, ASME Turbo Expo Conference 2002, Amsterdam, The Netherlands

  • Goldberg DE (1994) Genetic algorithms. Addison–Wesley, MA

    MATH  Google Scholar 

  • Lian Yongsheng (2004) Multi-objective optimization using coupled response surface model and evolutionary algorithm. AIAA paper 2004-4323, \(10th\) AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, New York, USA

  • Masters T (1995) Practical Neural Network Recipes in C++. Wiley, New York

    Google Scholar 

  • Oyama A, Liou MS, Obayashi S (2002) Transonic axial-flow blade shape optimization using evolutionary algorithm and three-dimensional Navier–Stokes Solver. AIAA paper 2002–5642

  • Pierret S (2005) Multi-objective optimization of three-dimensional turbomachinery blades. International Conference on Computational Methods for Coupled Problems in Science and Engineering, 25–28 May 2005, Santorini Island, Greece

  • Pierret S, Van den Braembussche RA (1998) Turbomachinery blade design using a navier-stokes solver and artificial neural network. ASME paper 98-GT-04, ASME Turbo Expo Conference 1998, Stockholm, Sweden

  • Pierret S, Ploumhans P, Gallez X, Caro S (2004) TurboFan noise reduction using optimization method coupled to aero-acoustic simulations. Design Optimization International Conference, ERCOFTAC 2004, March 31—April 2, Athens, Greece

  • Samareh JA (1990) A survey of shape parametrization techniques. CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics, June 22–25, 1990—Also NASA/CP-1999-209136

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Pierret, S., Filomeno Coelho, R. & Kato, H. Multidisciplinary and multiple operating points shape optimization of three-dimensional compressor blades. Struct Multidisc Optim 33, 61–70 (2007). https://doi.org/10.1007/s00158-006-0033-y

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  • DOI: https://doi.org/10.1007/s00158-006-0033-y

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