Three dimensional evolutionary aerodynamic design optimization with CMA-ES

In this paper, we present the application of evolutionary optimization methods to a demanding, industrially relevant engineering domain, the three-dimensional optimization of gas turbine stator blades. This optimization problem is high-dimensional search and computationally very expensive. We show that, despite of its difficulty, the problem is feasible. Our approach not only successfully optimizes the aerodynamic design but also yields interesting results from an engineering point of view.

[1]  David B. Fogel,et al.  Evolution-ary Computation 1: Basic Algorithms and Operators , 2000 .

[2]  D. Wilcox Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[3]  T. Arima,et al.  A Numerical Investigation of Transonic Axial Compressor Rotor Flow Using a Low-Reynolds-Number k–ε Turbulence Model , 1999 .

[4]  Nikolaus Hansen,et al.  Adapting arbitrary normal mutation distributions in evolution strategies: the covariance matrix adaptation , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

[5]  Fujio Yamaguchi,et al.  Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.

[6]  Toshiyuki Arima,et al.  A Numerical Investigation of Transonic Axial Compressor Rotor Flow Using a Low Reynolds Number k-ε Turbulence Model , 1997 .

[7]  Message P Forum,et al.  MPI: A Message-Passing Interface Standard , 1994 .

[8]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[9]  Yaochu Jin,et al.  Adaptive encoding for aerodynamic shape optimization using evolution strategies , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[10]  Jack Dongarra,et al.  PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing , 1995 .

[11]  Andrzej Osyczka,et al.  Evolutionary Algorithms for Single and Multicriteria Design Optimization , 2001 .

[12]  Message Passing Interface Forum MPI: A message - passing interface standard , 1994 .

[13]  M. L. Shelton,et al.  OPTIMIZATION OF A TRANSONIC TURBINE AIRFOIL USING ARTIFICIAL INTELLIGENCE,CFD AND CASCADE TESTING , 1993 .

[14]  Toyotaka Sonoda,et al.  Flow Characteristics in a Transonic Ultra-Low-Aspect-Ratio Axial Turbine Vane , 2004 .

[15]  Forum Mpi MPI: A Message-Passing Interface , 1994 .

[16]  Nikolaus Hansen,et al.  Completely Derandomized Self-Adaptation in Evolution Strategies , 2001, Evolutionary Computation.

[17]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .