Review of options for structural design sensitivity analysis. Part 1: Linear systems
The paper reviews options for structural design sensitivity analysis, including global finite
differences, continuum derivatives, discrete derivatives, and computational or automated …
differences, continuum derivatives, discrete derivatives, and computational or automated …
The complex-step derivative approximation
JRRA Martins, P Sturdza, JJ Alonso - ACM Transactions on …, 2003 - dl.acm.org
The complex-step derivative approximation and its application to numerical algorithms are
presented. Improvements to the basic method are suggested that further increase its …
presented. Improvements to the basic method are suggested that further increase its …
The development of hyper-dual numbers for exact second-derivative calculations
J Fike, J Alonso - 49th AIAA aerospace sciences meeting including the …, 2011 - arc.aiaa.org
49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace
Exposition : The Development of Hyper-Dual N Page 1 The Development of Hyper-Dual …
Exposition : The Development of Hyper-Dual N Page 1 The Development of Hyper-Dual …
Future of airplane aeroelasticity
E Livne - Journal of Aircraft, 2003 - arc.aiaa.org
Aeroelasticity is still dynamic, challenging, and a key part of cutting-edge airplane
technology. Emerging trends, as well as challenges and needs in the eld of airplane …
technology. Emerging trends, as well as challenges and needs in the eld of airplane …
The connection between the complex-step derivative approximation and algorithmic differentiation
This paper presents improvements to the complexstep derivative approximation method
which increase its accuracy and robustness. These improvements unveil the connection to …
which increase its accuracy and robustness. These improvements unveil the connection to …
Using an adjoint approach to eliminate mesh sensitivities in computational design
EJ Nielsen, MA Park - AIAA journal, 2006 - arc.aiaa.org
IN recent years a concerted effort has been made to bring higher fidelity, physics-based
computational fluid dynamics (CFD) simulations into the aircraft design process. Such tools …
computational fluid dynamics (CFD) simulations into the aircraft design process. Such tools …
[图书][B] A coupled-adjoint method for high-fidelity aero-structural optimization
JRRA Martins - 2003 - search.proquest.com
A new integrated aero-structural design method for aerospace vehicles is presented. The
approach combines an aero-structural analysis solver, a coupled aero-structural adjoint …
approach combines an aero-structural analysis solver, a coupled aero-structural adjoint …
DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers
W Yu, M Blair - Computer Physics Communications, 2013 - Elsevier
DNAD (dual number automatic differentiation) is a simple, general-purpose tool to
automatically differentiate Fortran codes written in modern Fortran (F90/95/2003) or legacy …
automatically differentiate Fortran codes written in modern Fortran (F90/95/2003) or legacy …
[HTML][HTML] Extensions of the first and second complex-step derivative approximations
KL Lai, JL Crassidis - Journal of Computational and Applied Mathematics, 2008 - Elsevier
A general framework for the first and second complex-step derivative approximation to
compute numerical derivatives is presented. For first derivatives the complex-step approach …
compute numerical derivatives is presented. For first derivatives the complex-step approach …
Adjoint wall functions: A new concept for use in aerodynamic shape optimization
AS Zymaris, DI Papadimitriou, KC Giannakoglou… - Journal of …, 2010 - Elsevier
The continuous adjoint method for the computation of sensitivity derivatives in aerodynamic
optimization problems of steady incompressible flows, modeled through the k–ε turbulence …
optimization problems of steady incompressible flows, modeled through the k–ε turbulence …