by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va .
Written in English
|Statement||principal investigator, Bernard Grossman.|
|Series||[NASA contractor report] -- NASA CR-193086., NASA contractor report -- NASA CR-193086.|
|Contributions||United States. National Aeronautics and Space Administration.|
|The Physical Object|
The adjoint method has long been considered as the tool of choice for gradient-based optimisation in computational fluid dynamics (CFD). It is the independence of the computational cost from the number of design variables that makes it particularly attractive for problems with large design spaces. Originally developed by Lions and Pironneau in the 70’s, the adjoint method has evolved towards Cited by: In aerodynamic shape optimization, gradient-based methods often rely on the adjoint approach, which is capable of computing the objective function sensitivities with respect to the design variables. In the literature adjoint approaches are proved to outperform other relevant methods, such as the direct sensitivity analysis, finite differences Cited by: AN INTRODUCTION TO THE ADJOINT APPROACH TO DESIGN for some given matrix Aand vector dual form is to evaluate vTfwhere the adjoint solution vsatisﬁes the linear system of equations ATv= g. Note the use of the transposed matrix AT, and the interchange in the roles of fand g. Thispaper focuses onaerodynamic design methodology. Itdiscusses challenges and complexity of aerodynamic wing design for a transonic aircraft, which arise from the complex nature of ow around the wing. It introduces the concept of automatic design based on computational uid dynamics (CFD) and the concept of adjoint Size: KB.
Jameson and Reuther [6,7] successfully performed aerodynamic design optimization of airfoil, wing, and wing–body configuration by using a continuous adjoint method. ADJOINT METHODS FOR AERODYNAMIC WING DESIGN NLPN # Semi-Annual Progress Report May Principal Investigator: Bernard Grossman Department of Aerospace and Ocean Engineering Virginia Polytechnic Institute and State University Blacksburg, VA Progress on NASA Research Grant NAG-l is summarized in the following draft of. The goal of aerodynamic design for airfoils and wings is to improve the performance of the lifting surfaces, e.g., by minimizing the drag. We consider here two approaches, the classical inverse. In the context of optimal shape design, adjoint-based formulations have a rich history in aeronautics, and their e↵ectiveness for the design of aircraft conﬁgurations in cruise and other steady problems is well established [1–3]. Less common and more dicult are adjoint formulations for unsteady aerodynamic prob-.
There is a growing interest for design in unsteady ﬂows, and it is becoming more tractable with increases in computing power To achieve higher e ﬃciencies, many critical applications could immediately beneﬁt from a time- accurate design approach: turbomachinery, open rotors, rotorcraft, wind turbines, maneuvering ﬂight. Aerodynamic optimization based on continuous adjoint method for a flexible wing is developed using FORTRAN 90 in the present work. Aerostructural analysis is performed on the basis of high-fidelity models with Euler equations on the aerodynamic side and a linear quadrilateral shell element model on the structure side. This shell element can deal with both thin and thick shell problems with Author: Zhaoke Xu, Jian Xia. adjoint-based methods in various areas of research and engineer-ing. Some of the earliest work in the ﬁeld of adjoint methods for aerodynamic design can be found in the work of Pironneau  and Angrand . Jameson developed an adjoint approach for the Euler equations in . Adjoint methods can be classiﬁed into continuous and dis-File Size: 7MB. However, if you feel reading a mathematics book might take away a significant quantity of your time, another book I would recommend is Flight Without Formulae by e. It is a classic book on aeronautical engineering, and covers the various aerodynamic phenomena over a wing. In my view, it is quite apt for a beginner.