Presented is a discrete adjoint method for modeling steady and periodic unsteady aerodynamic design sensitivities. The flow solver is based on an unsteady nonlinear harmonic balance technique for the Reynolds-averaged Navier-Stokes equations. The source code for the adjoint solver is generated from the nominal harmonic balance flow solver with the aid of the automatic differentiation compiler TAP (Transformation of Algorithms in FORTRAN). The resulting adjoint solver has a computational cost of roughly three times a nominal solution. Once the adjoint solution is determined, one can then obtain steady or periodic unsteady aerodynamic design sensitivities for a large number of design changes at essentially no additional computational cost. The method has been demonstrated for design sensitivities of unsteady loading for transonic viscous flow about the NLR 7301 supercritical airfoil section.
Discrete adjoint approach for modeling unsteady aerodynamic design sensitivities
Sensitivitätsanalyse instationär umströmter aerodynamischer Bauteile mit einem diskreten konjugierten Gradientenverfahren
AIAA Journal ; 43 , 9 ; 1931-1936
2005
6 Seiten, 6 Bilder, 17 Quellen
Aufsatz (Zeitschrift)
Englisch
automatische Programmierung , Differentiation , Empfindlichkeitsanalyse , Fourier-Reihe , instationäre Strömung , konjugierte Gradientenmethode , Navier-Stokes-Gleichung , numerische Strömungssimulation , numerisches Verfahren , Software-Werkzeug , superkritischer Flügel , Frequenzbereichsanalyse , rechnerunterstützter Entwurf
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