This paper studies the effect of design variables vector on automatic aerodynamic shape optimization in the adjoint method. Three shape techniques are studied: surface points, relations of the National Advisory Committee for Aeronautics (NACA) 4-digit airfoil series (defining wing section profiles by one digit describing maximum camber as percentage of the chord, one digit describing the distance of maximum camber from the airfoil leading edge in tens of percents of the chord, and two digits describing maximum thickness of the airfoil as percent of the chord) and Hicks-Henne 'Bump' Functions. First, this paper presents the complete formulation of the optimal design problem for the Euler equations. Second, the implementation of these surface representation methods are explored. Finally, results are presented for inverse and drag minimization problems. The results show that the mechanism, value and the trend of drag reduction during the optimization are strongly affected by the type of design vector.
Investigation of the adjoint method in aerodynamic optimization using various shape parameterization techniques
Untersuchung des Adjungierten-Verfahrens in der aerodynamischen Formoptimierung mit Hilfe verschiedener Formparametrisierungsverfahren
Journal of the Brazilian Society of Mechanical Sciences and Engineering ; 32 , 2 ; 176-185
2010
10 Seiten, 15 Bilder, 3 Tabellen, 21 Quellen
Aufsatz (Zeitschrift)
Englisch
Aerodynamic Shape Optimization using Adjoint Method.
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