Abstract
Solving CFD inverse problems dealing with complex aerodynamic configurations like multi-element airfoils remains a difficult and expensive procedure, which requires seamless interfacing between several softwares like computer-aided design (CAD) system, mesh generator, flow analyzer, and an optimizer. It is essential to ensure the mesh quality during the optimization procedure for maintaining an accurate design. A fast meshless method using second and fourth order artificial dissipations and dynamic clouds of points based on the Delaunay graph mapping strategy is introduced to solve inverse computational fluid dynamics problems. The purpose of this paper is to use genetic algorithms and Nash genetic algorithms for position reconstructions of oscillating airfoils. The main feature of this paper is a detailed investigation on inverse problems in aerodynamics using both flexibility and efficiency of the fast meshless method. Comparisons of prescribed and computed aerodynamics parameters are presented for position reconstruction problems in aerodynamic design using both the fast meshless method coupled with artificial dissipation and a finite volume method. Numerical results are presented to illustrate the potential of the fast meshless method coupled with artificial dissipation and evolutionary algorithms, to solve more complex optimization problems of industrial interest occurring in multidisciplinary design.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Batina JT (1992) A fast implicit upwind solution algorithm for three-dimensional unstructured dynamics meshes. AIAA paper 1992-447
Batina JT (1993) A gridless Euler/Navier-Stokes solution algorithm for complex-aircraft applications. AIAA paper 1993-333
Blazek J (2001) Computational fluid dynamics: principles and applications. Elsevier, Amsterdam
Chen HQ (2003) Implicit gridless method for Euler equations. Chin J Comput Phys 20(1):9–13
Farhat C, Degand C, Koobus B, Lesoinne M (1998) An improved method of spring analogy for dynamic unstructured fluid meshes. AIAA paper 1998-2070
Jameson A, Schmidt W, Turkel E (1981) Numerical solution of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. In: AIAA 14th fluid and plasma dynamics conference, Palo Alto, CA, 1981
Lee DS, Gonzalez LF, Periaux J, Srinivas K (2011) Efficient hybrid-game strategies coupled to evolutionary algorithms for robust multidisciplinary design optimization in aerospace engineering. IEEE Trans Evol Comput 15(2):133–150
Liu XQ, Qin N, Xia H (2006) Fast dynamic grid deformation based on Delaunay graph mapping. Chin J Comput Phys 211(2):405–423
Ma ZH, Chen HQ, Wu XJ (2006) A gridless-finite volume hybrid algorithm for Euler equations. Chin J Aeronaut 19(4):286–294
Michalewicz Z (1992) Genetic algorithms + data structures = evolution programs. Springer, Berlin
Nash J (1951) Non-cooperative games. Ann Math 54:286–295
Pulliam TH (1986) Artificial dissipation models for the Euler equations. AIAA J 24(12):1931–1940
Pulliam TH, Steger JL (1985) Recent improvements in efficiency, accuracy, and convergence for implicit approximate factorization algorithms. AIAA paper 1985-360
Wang H, Chen HQ, Periaux J (2010) A study of gridless method with dynamic clouds of points for solving unsteady CFD problems in aerodynamics. Int J Numer Methods Fluids 64(1):98–118
Wang JF, Wu YZ, Periaux J (2002) Genetic algorithms and game theory for high lift design problems in aerodynamics. Trans Nanjing Univ Aeronaut Astronaut 19(1):7–13
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Wang, H., Chen, HQ., Periaux, J. (2013). GAs and Nash GAs Using a Fast Meshless Method for CFD Design. In: Repin, S., Tiihonen, T., Tuovinen, T. (eds) Numerical Methods for Differential Equations, Optimization, and Technological Problems. Computational Methods in Applied Sciences, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5288-7_5
Download citation
DOI: https://doi.org/10.1007/978-94-007-5288-7_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5287-0
Online ISBN: 978-94-007-5288-7
eBook Packages: EngineeringEngineering (R0)