Optimisation of a turbine inlet guide vane by gradient-based and metamodel-assisted methods

References

• Allmaras, S. R., F. T. Johnson, and P. R. Spalart. 2012. “Modifications and Clarifications for the Imlementation of the Spalart-Allmaras Turbulence Model.” 7th International Conference on Computational Fluid Dynamics (ICCFD7-1902), Big Island, Hawaii, July 9–13.
   Google Scholar
• Bellary, Sayed Ahmed Imran, Abdus Samad, Ivo Couckuyt, and Tom Dhaene. 2016. “A Comparative Study of Kriging Variants for the Optimization of a Turbomachinery System.” Engineering with Computers 32 (1): 49–59.
   Web of Science ®Google Scholar
• Brooks, C., A. Forrester, A. Keane, and S. Shahpar. 2011. “Multi-Fidelity Design Optimisation of a Transonic Compressor Rotor.” 9th European Turbomachinery Conference, Istanbul, Turkey, March 21–25.
   Google Scholar
• Chernukhin, Oleg, and David W. Zingg. 2013. “Multimodality and Global Optimization in Aerodynamic Design.” AIAA Journal 51 (6): 1342–1354.
   Web of Science ®Google Scholar
• Denton, J. D., and L. Xu. 1990. “The Trailing Edge Loss in Transonic Turbine Blades.” Journal of Turbomachinery 112: 277–285.
   Web of Science ®Google Scholar
• Fonseca, C. M., and P. J. Fleming. 1995. “An Overview of Evolutionary Algorithms in Multiobjective Optimization.” Evolutionary Computation 3 (1): 1–16.
   Web of Science ®Google Scholar
• Forrester, Alexander, Andras Sobester, and Andy Keane. 2008. Engineering Design via Surrogate Modelling: A Practical Guide. Chichester: Wiley.
   Google Scholar
• Gano, S. E., J. E. Renaud, and B. Sanders. 2005. “Hybrid Variable Fidelity Optimization by Using a Kriging-Based Scaling Function.” AIAA Journal 43 (11): 2422–2433.
   Web of Science ®Google Scholar
• Gill, P. E., W. Murray, and M. A. Saunders. 1986. “Some Theoretical Properties of an Augmented Lagrangian Merit Function.” Technical Report SOL 86-6R. Stanford University.
   Google Scholar
• Gill, P. E., W. Murray, and M. A. Saunders. 2002. “An SQP Algorithm for Large-Scale Constrained Optimization.” SIAM Journal on Optimization 12: 979–1006.
   Web of Science ®Google Scholar
• Glover, F. 1989. “Tabu Search – Part I.” ORSA Journal on Computing 1 (3): 190–206.
   Google Scholar
• Harten, A., and J. M. Hyman. 1983. “Self-Adjusting Grid Methods for One-Dimensional Hyperbolic Conservation Laws.” Journal of Computational Physics 50 (2): 235–269.
   Web of Science ®Google Scholar
• Hinterberger, C., and M. Olesen. 2011. “Industrial Application of Continuous Adjoint Flow Solvers for the Optimization of Automotive Exhaust Systems.” CFD & Optimization, Antalya, Turkey.
   Google Scholar
• Jameson, Antony. 1988. “Aerodynamic Design via Control Theory.” Journal of Scientific Computing 3 (3): 233–260.
   Google Scholar
• Jeong, S., M. Murayama, and K. Yamamoto. 2005. “Efficient Optimization Design Method Using Kriging Model.” Journal of Aircraft 42 (2): 413–420.
   Web of Science ®Google Scholar
• Jin, Ruichen, Wei Chen, and Timothy W. Simpson. 2001. “Comparative Studies of Metamodelling Techniques under Multiple Modelling Criteria.” Structural and Multidisciplinary Optimization 23 (1): 1–13.
   Web of Science ®Google Scholar
• Krige, D. G. 1951. “A Statistical Approach to Some Mine Valuations and Allied Problems at the Witwatersrand.” PhD diss., University of Witwatersrand.
   Google Scholar
• Laurenceau, J., M. Meaux, M. Montagnac, and P. Sagaut. 2010. “Comparison of Gradient-Based and Gradient-Enhanced Response-Surface-Based Optimizers.” AIAA Journal 48 (5): 981–994.
   Web of Science ®Google Scholar
• Li, Zhihui, and Xinqian Zheng. 2017. “Review of Design Optimization Methods for Turbomachinery Aerodynamics.” Progress in Aerospace Sciences 93: 1–23.
   Web of Science ®Google Scholar
• Liu, Jun, Zhonghua Han, and Wenping Song. 2012. “Efficient Kriging-Based Aerodynamic Design of Transonic Airfoils: Some Key Issues.” 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. doi:10.2514/6.2012-967.
   Google Scholar
• Lyness, J. N., and C. B. Moler. 1967. “Numerical Differentiation of Analytic Functions.” SIAM Journal on Numerical Analysis 4: 202–210.
   Google Scholar
• Matrin, J. D., and T. W. Simpson. 2004. “A Monte Carlo Simulation of the Kriging Model.” AIAA Paper No. 2004–4483.
   Google Scholar
• Martin, J. D., and T. W. Simpson. 2005. “Use of Kriging Models to Approximate Deterministic Computer Models.” AIAA Journal 43 (4): 853–863.
   Web of Science ®Google Scholar
• Matheron, G. 1963. “Principles of Geostatistics.” Economic Geology 58: 1246–1266.
   Google Scholar
• Montgomery, Douglas C. 2017. Design and Analysis of Experiments. Hoboken, NJ: Wiley.
   Google Scholar
• Müller, Lasse. 2018. “Adjoint-Based Optimization of Turbomachinery With Application to Axial and Radial Turbines.” PhD diss., Université libre de Bruxelles (ULB).
   Google Scholar
• Müller, Lasse, and Tom Verstraete. 2017. “CAD Integrated Multipoint Adjoint-Based Optimization of a Turbocharger Radial Turbine.” International Journal of Turbomachinery, Propulsion and Power 2 (3): 14.
   Google Scholar
• Nadarajah, Siva, and Antony Jameson. 2000. “A Comparison of the Continuous and Discrete Adjoint Approach to Automatic Aerodynamic Optimization.” 38th Aerospace Sciences Meeting and Exhibit. doi:10.2514/6.2000-667.
   Google Scholar
• Papoutsis-Kiachagias, Evangelos M., and Kyriakos C. Giannakoglou. 2016. “Continuous Adjoint Methods for Turbulent Flows, Applied to Shape and Topology Optimization: Industrial Applications.” Archives of Computational Methods in Engineering 23 (2): 255–299.
   Web of Science ®Google Scholar
• Pironneau, Olivier. 1974. “On Optimum Design in Fluid Mechanics.” Journal of Fluid Mechanics 64 (1): 97–110.
   Web of Science ®Google Scholar
• Price, K., and N. Storn. 1997. “Differential Evolution.” Dr. Dobb's Journal: 18–24.
   Google Scholar
• Reuther, James, Antony Jameson, James Farmer, Luigi Martinelli, and David Saunders. 1996. “Aerodynamic Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation.” 34th Aerospace Sciences Meeting and Exhibit. doi:10.2514/6.1996-94.
   Google Scholar
• Roe, P. L. 1981. “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes.” Journal of Computational Physics 43: 357–372.
   Web of Science ®Google Scholar
• Sacks, Jerome, William J. Welch, Toby J. Mitchell, and Henry P. Wynn. 1989. “Design and Analysis of Computer Experiments.” Statistical Science4: 409–423.
   Google Scholar
• Sasena, M. J. 2002. “Flexibility and Efficiency Enhancements for Constrained Global Design Optimization with Kriging Approximations.” PhD diss., University of Michigan.
   Google Scholar
• Sieverding, C. 1982. “2-D Transonic Turbine Nozzle Blade.” Lecture Series 1982-05. Von Karman Institute for Fluid Dynamics.
   Google Scholar
• Sieverding, C. 1990. “Test Case E/CA-8: Transonic Turbine Cascade.” AGARD Advisory Report 275.
   Google Scholar
• Simpson, T. W. 1998. “Comparison of Response Surface and Kriging Models in the Multidisciplinary Design of an Aerospike Nozzle.” ICASE Report No. 98–16.
   Google Scholar
• Simpson, T. W., J. Peplinski, P. N. Koch, and J. K. Allen. 2001. “Metamodels for Computer-Based Engineering Design: Survey and Recommendations.” Engineering with Computers 17 (2): 129–150.
   Web of Science ®Google Scholar
• Talbi, E. 2009. Metaheuristics: From Design to Implementation. Vol. 74. Hoboken, NJ: Wiley.
   Google Scholar
• Toal, David J. J. 2016. “A Study into the Potential of GPUs for the Efficient Construction and Evaluation of Kriging Models.” Engineering with Computers 32 (3): 377–404.
   Web of Science ®Google Scholar
• Toal, David J. J., and Andy J. Keane. 2011. “Efficient Multipoint Aerodynamic Design Optimization via Cokriging.” Journal of Aircraft 48 (5): 1685–1695.
   Web of Science ®Google Scholar
• Torczon, V., and M. W. Trosset. 1998. “Using Approximations to Accelerate Engineering Design Optimization.” August. ICASE Report No. 98–33.
   Google Scholar
• van Leer, B. 1979. “Towards the Ultimate Conservative Difference Scheme, V. A Second Order Sequel to Godunov's Method.” Journal of Computational Physics 32 (1): 101–136.
   Web of Science ®Google Scholar
• Venkatakrishnan, V. 1993. “On the Accuracy of Limiters and Convergence to Steady State Solutions.” 31st AIAA Aerospace Sciences Meeting, Reno, Nevada, January 11–14.
   Google Scholar
• Verstraete, T., L. Mueller, and M. H. Aissa. 2018. “Multidisciplinary Optimization of Turbomachinery Components Using Differential Evolution.” In Introduction to Optimization and Multidisciplinary Design, VKI Lecture Series, edited by J. Periaux and T. Verstraete. Brussels: Von Karman Institute.
   Google Scholar
• Wang, D. X., and L He. 2010. “Adjoint Aerodynamic Design Optimization for Blades in Multistage Turbomachines – Part I: Methodology and Verification.” Journal of Turbomachinery 132 (2): 021011.
   Web of Science ®Google Scholar
• Xu, S., D. Radford, M. Meyer, and J.-D. Müller. 2015. “Stabilisation of Discrete Steady Adjoint Solvers.” Journal of Computational Physics 299: 175–195.
   Web of Science ®Google Scholar