Testing Some Alpha-Models of Turbulence on Wing Profiles

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Abstract:

In this paper some numerical simulations of the Navier-Stokes Equations (NSE) to test the novel NS-α and NS-ω turbulence models [1, , which conserve energy, enstrophy, and helicity, are presented. These algorithms verify more conservation properties than other implementations of the NSE, however their rotational form [ makes the scaling study of the coupling between the velocity and pressure errors with respect to the Reynolds number, a very interesting research line. Nowadays we are designing a wing profile in the context of Unmanned Aerial Vehicle (UAV) on incompressible flow conditions [. First a genetic algorithm (GA) is used to obtain the optimized design geometry and then the NS-α and NS-ω turbulence models are run to study its performance for different attack angles. The GA objective function evaluates the general potential theory of each wing section considered, because that requires less computational cost than the alternative of solving the NSE, and a wing design method proposed in [ is applied. Thus the optimized design geometry was found by evaluating the potential flow of all candidate solutions generated from the selection, crossover and mutation operators in each GA iteration. It takes the order of hundreds of simulations per iteration to evaluate all candidate solutions. Summarizing, two practical applications for a UAV are presented: the optimized design of an airfoil for environmental purposes, named CEANI airfoil, and the application of relevant turbulence models as NS-α and NS-ω in order to evaluate with accuracy the lift, drag and maximum angle of attack.

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Periodical:

Solid State Phenomena (Volume 198)

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243-247

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March 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] L.G. Rebholz, Helicity and physical fidelity in turbulence modeling. Unpublished doctoral dissertation, University of Pittsburgh, (2006).

Google Scholar

[2] R.G. Hills, Benchmark Testing the α-models of turbulence. A project presented to the Graduate School of Clemson University, (2010).

Google Scholar

[3] F. Hecht, O. Pironneau and K. Ohtsuka, Information on http: /www. freefem. org/ff++.

Google Scholar

[4] M. A. Moreno Díaz, Diseño de un vehículo aéreo no tripulado y optimización del perfil alar mediante algoritmos evolutivos, Proyecto Fin de Carrera, Universidad de Las Palmas de Gran Canaria, (2012).

DOI: 10.20420/elguiniguada.2020.342

Google Scholar

[5] R. Rannacher, On Chorin's projection method for the incompressible Navier-Stokes equations. Lecture Notes in Mathematics, 1530/1992 (1992) 167-183.

DOI: 10.1007/bfb0090341

Google Scholar

[6] Information on http: /www. claymath. org/millennium.

Google Scholar

[7] T. Bäck and G. Winter, Mathematical Prospects on Evolutionary Algorithms, INGEnet Case Studies Open Day, von Karmann Institute, (2001).

Google Scholar

[8] T. Theodorsen, Theory of wing sections of arbitrary shape. NACA report No. 411.

Google Scholar

[9] T. Theodorsen and I. E. Garrick, General Potential Theory of Arbitrary Wing Sections. NACA report No. 452.

Google Scholar

[10] Handbuch der Physik, Band III, p.245, Fundamentalsatz der konformen abbildung.

Google Scholar

[11] W. Layton, C. Manica, M. Neda, and L. Rebholz, Numerical analysis and computational comparisons of the NS-omega and NS-alpha regularizations. Computer Methods Applied Mechanics and Engineering, 199 (2010) 916–931.

DOI: 10.1016/j.cma.2009.01.011

Google Scholar

[12] N. Gregory and C. L. O'Reilly, Low-Speed Aerodynamic Characteristics of NACA 0012 Aerofoil Section, including the Effects of Upper-Surface Roughness Simulating Hoar Frost. Ministry of defence (procurement executive). Report and Memoranda No. 3726.

Google Scholar