Effects of sensitivity derivatives on aerodynamic design optimization

Date

2007-10-01

Author

Eyi, Sinan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

164
views

0
downloads

The effects of sensitivity derivatives on the performance of aerodynamic design optimization were evaluated. Sensitivity derivatives were obtained by both analytical and finite-difference approaches. A sensitivity code was developed to analytically obtain sensitivity derivatives for the two-dimensional Euler equations using the material derivative concept of continuum mechanics. Several inverse design optimizations were performed to evaluate the merits of the analytical approach in comparison with the finite-difference approach. The results show that the analytical approach provides accurate sensitivity derivatives consistently, improves the convergence of the design cycle, and hence reduces the design cost.

Subject Keywords

Engineering (miscellaneous), Applied Mathematics

URI

https://hdl.handle.net/11511/41418

Journal

Inverse Problems In Science And Engineering

DOI

https://doi.org/10.1080/174159796088027603

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

Nonlinear oscillation of second-order dynamic equations on time scales Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2009-10-01) Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
ASSESSMENT OF RPIM SHAPE PARAMETERS FOR SOLUTION ACCURACY OF 2D GEOMETRICALLY NONLINEAR PROBLEMS BOZKURT, ÖMER YAVUZ; KANBER, BAHATTİN; Aşık, Mehmet Zülfü (World Scientific Pub Co Pte Lt, 2013-06-01) This study discussed the effects of shape parameters on the radial point interpolation method (RPIM) accuracy in 2D geometrically nonlinear problems. Four finite deformation problems with compressible Neo-Hookean material are numerically solved with the RPIM algorithm using the multi-quadric (MQ) radial basis function. Both regular and irregular node distributions are used. Their displacements and Cauchy stresses are compared for different values of shape parameters and monomial basis. It is found that the ...
Oscillation criteria for third-order nonlinear functional differential equations AKTAŞ, MUSTAFA FAHRİ; Tiryaki, A.; Zafer, Ağacık (Elsevier BV, 2010-07-01) In this work, we are concerned with oscillation of third-order nonlinear functional differential equations of the form
Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients ÖZBEKLER, ABDULLAH; Wong, J. S. W.; Zafer, Ağacık (Elsevier BV, 2011-07-01) In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions.
AN OPTIMAL-CONTROL PROBLEM WITH NONLINEAR ELLIPTIC STATE-EQUATIONS Leblebicioğlu, Mehmet Kemal (Elsevier BV, 1992-02-01) In this article some of the results for optimal control of linear systems have been generalized to a nonlinear case. This is achieved by employing standard techniques of the nonlinear theory. After demonstrating the existence of optimal controls, finite element method is used to discretize the problem. The resulting finite dimensional problem is solved by a special algorithm. The theoretical discussions are completed by proving that approximate solutions are reduced to exact solutions as the element size te...

Citation Formats

S. Eyi, “Effects of sensitivity derivatives on aerodynamic design optimization,” Inverse Problems In Science And Engineering, pp. 213–235, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41418.