Abstract
The discrepancy between manufactured and design geometry of turbomachinery blades has a detrimental effect on the performance variability. In this work, the authors propose a methodology to reduce the impact of the randomness induced by the manufacturing process: a tolerance optimization is carried out by resorting to an efficient robust optimization method based on quantile regression. Its application to a typical two-dimensional supersonic nozzle cascade for ORC showcases promising preliminary results.
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References
Colonna, P., Harinck, J., Rebay, S., Guardone, A.: Real-gas effects in organic Rankine cycle turbine nozzles. J. Propul. Power 24(2), 282–294 (2008)
Dow, E.A., Wang, Q.: Optimal design and tolerancing of compressor blades subject to manufacturing variability. In: 16th AIAA Non-Deterministic Approaches Conference, p. 1008 (2014)
Dow, E.A., Wang, Q.: The implications of tolerance optimization on compressor blade design. J. Turbomach. 137(10) (2015)
Economon, T.D., Mudigere, D., Bansal, G., Heinecke, A., Palacios, F., Park, J., Smelyanskiy, M., Alonso, J.J., Dubey, P.: Performance optimizations for scalable implicit RANS calculations with SU2. Comput. Fluids 129, 146–158 (2016)
Garzon, V.E.: Probabilistic aerothermal design of compressor airfoils. PhD thesis, Massachusetts Institute of Technology (2003)
Giles, M.B.: Nonreflecting boundary conditions for Euler equation calculations. AIAA J. 28(12), 2050–2058 (1990)
Guardone, A., Vigevano, L.: Roe linearization for the van der Waals gas. J. Comput. Phys. 175, 50–78 (2002)
Palacios, F., Colonno, M.F., Aranake, A.C., Campos, A., Copeland, S.R., Economon, T.D., Lonkar, A.K., Lukaczyk, T.W., Taylor, T.W.R., Alonso, J.J.: Stanford university unstructured (SU2): an open-source integrated computational environment for multi-physics simulation and design. In: 51st AIAA Aerospace Sciences Meeting and Exhibit (2013)
Persico, G., Rodriguez-Fernandez, P., Romei, A.: High-fidelity shape optimization of non-conventional turbomachinery by surrogate evolutionary strategies. J. Turbomach. 141(8), 081010–0810111 (2019)
Pini, M., Persico, G., Dossena, V.: Robust adjoint-based shape optimization of supersonic turbomachinery cascades. In: ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, pp. V02BT39A043–V02BT39A043. American Society of Mechanical Engineers (2014)
Razaaly, N., Persico, G., Congedo, P.M.: Impact of geometric, operational, and model uncertainties on the non-ideal flow through a supersonic ORC turbine cascade. Energy 169, 213–227 (2019)
Razaaly, N., Persico, G., Gori, G., Congedo, P.M.: Quantile-based robust optimization of a supersonic nozzle for organic Rankine cycle turbines. Appl. Math. Model 82, 802–824 (2020)
Roe, P.L.: Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43(2), 357–372 (1981)
Sabater, C., Le Maitre, O., Congedo, P.M., Gortz, S.: A Bayesian approach for quantile optimization problems with high-dimensional uncertainty sources. Researchgate (2020)
Vinokur, M., Montagné, J.L.: Generalized flux-vector splitting and roe average for an equilibrium real gas. J. Comput. Phys. 89, 276 (1990)
Vitale, S., Albring, T.A., Pini, M., Gauger, N.R., Colonna, P., et al.: Fully turbulent discrete adjoint solver for non-ideal compressible flow applications. J. Global Power Propul. Soc. 1, Z1FVOI (2017)
Vitale, S., Gori, G., Pini, M., Guardone, A., Economon, T.D., Palacios, F., Alonso, J.J., Colonna, P.: Extension of the SU2 open source CFD code to the simulation of turbulent flows of fuids modelled with complex thermophysical laws. AIAA Paper 2760, 2015 (2015)
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Razaaly, N., Persico, G., Congedo, P.M. (2021). Tolerance Optimization of Supersonic ORC Turbine Stator. In: Pini, M., De Servi, C., Spinelli, A., di Mare, F., Guardone, A. (eds) Proceedings of the 3rd International Seminar on Non-Ideal Compressible Fluid Dynamics for Propulsion and Power. NICFD 2020. ERCOFTAC Series, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-030-69306-0_9
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