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  • 1
    Electronic Resource
    Electronic Resource
    Discrete shape sensitivity equations for aerodynamic problems (1994)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 37 (1994), S. 2251-2266 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Intensive research and development in Computational Fluid Dynamics (CFD) has recently produced many powerful CFD codes to simulate complex aerodynamic phenomena. However, in order to enhance the usefulness of these CFD codes for design practice, development of design sensitivity equations compatible to these codes becomes very important. This paper represents a part of such an effort to develop a sensitivity analysts methodology that enables the sensitivity equations to be implemented into existing CFD codes with minimal code modification. The methodology is based upon a pre-elimination procedure which accounts for consistently linearized boundary conditions. Formulations of both the direct differentiation and the adjoint variable methods will be presented in the paper.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620371307
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Numerical methods for second-order shape sensitivity analysis with applications to heat conduction problems (1993)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 36 (1993), S. 417-435 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, two finite-element-based schemes for second-order shape sensitivity analysis are presented. In the first formulation, the AV-DD method, the first-order shape sensitivity equation is derived and expressed in terms of state and adjoint variables. The resultant equation is then directly differentiated to obtain the second-order shape sensitivity equation. In the second formulation, the DD-AV method, the functional of concern is differentiated twice to yield the second-order sensitivity equation in which the second-order shape derivatives can be eliminated by introducing a proper adjoint equation. A thermal fin problem and a thermal insulation layer problem have been studied to validate the proposed schemes. It is shown that both methods yield identical results, though the DD-AV method is computationally more efficient.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620360305
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  • 3
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    Aerodynamic design optimization using Euler equations and variational methods (2002)
    Elsevier
    Details
    Publication Date: 2002-02-01
    Print ISSN: 0045-7930
    Electronic ISSN: 1879-0747
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Technology
    Published by Elsevier
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    PAPER CURRENT
  • 4
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    Approximate analysis for repeated eigenvalue problems with applications to controls-structure integrated design (1994)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: A method for eigenvalue and eigenvector approximate analysis for the case of repeated eigenvalues with distinct first derivatives is presented. The approximate analysis method developed involves a reparameterization of the multivariable structural eigenvalue problem in terms of a single positive-valued parameter. The resulting equations yield first-order approximations to changes in the eigenvalues and the eigenvectors associated with the repeated eigenvalue problem. This work also presents a numerical technique that facilitates the definition of an eigenvector derivative for the case of repeated eigenvalues with repeated eigenvalue derivatives (of all orders). Examples are given which demonstrate the application of such equations for sensitivity and approximate analysis. Emphasis is placed on the application of sensitivity analysis to large-scale structural and controls-structures optimization problems.
    Keywords: SPACECRAFT DESIGN, TESTING AND PERFORMANCE
    Type: NASA-TP-3439 , L-17232 , NAS 1.60:3439
    Format: application/pdf
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  • 5
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    Discrete shape sensitivity equations for aerodynamic problems (1991)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: Intensive research and development in Computational Fluid Dynamics (CFD) has recently produced many powerful CFD codes to simulate complex aerodynamic phenomena. However, in order to enhance the usefulness of these CFD codes for design practice, development of design sensitivity equations compatible to these codes becomes very important. This paper represents a part of such an effort to develop a sensitivity analysis methodology that enables the sensitivity equations to be implemented into existing CFD codes with minimal code modification. The methodology is based upon a preelimination procedure which accounts for consistently linearized boundary conditions. Formulations of both the direct differentiation and the adjoint variable methods will be presented in the paper.
    Keywords: AERODYNAMICS
    Type: AIAA PAPER 91-2259
    Format: text
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  • 6
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    A Most Probable Point-Based Method for Reliability Analysis, Sensitivity Analysis and Design Optimization (2004)
    In:  CASI
    Details
    Publication Date: 2019-07-13
    Description: A major step in a most probable point (MPP)-based method for reliability analysis is to determine the MPP. This is usually accomplished by using an optimization search algorithm. The optimal solutions associated with the MPP provide measurements related to safety probability. This study focuses on two commonly used approximate probability integration methods; i.e., the Reliability Index Approach (RIA) and the Performance Measurement Approach (PMA). Their reliability sensitivity equations are first derived in this paper, based on the derivatives of their respective optimal solutions. Examples are then provided to demonstrate the use of these derivatives for better reliability analysis and Reliability-Based Design Optimization (RBDO).
    Keywords: Statistics and Probability
    Type: PMC2004 , 9th ASCE EMD/SEI/GI/AD Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability; Jul 26, 2004 - Jul 28, 2004; Albuquerque, NM; United States
    Format: text
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  • 7
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    Eigenvalue sensitivity analysis of planar frames with variable joint and support locations (1992)
    In:  Other Sources
    Details
    Publication Date: 2019-07-12
    Keywords: STRUCTURAL MECHANICS
    Type: AIAA Journal (ISSN 0001-1452); 30; 8 Au; 2138-214
    Format: text
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  • 8
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    Eigenvalue and eigenvector approximate analysis for repeated eigenvalue problems (1992)
    In:  Other Sources
    Details
    Publication Date: 2019-07-12
    Keywords: NUMERICAL ANALYSIS
    Type: AIAA Journal (ISSN 0001-1452); 30; 9 Se; 2317-232
    Format: text
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  • 9
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    Simultaneous Aerodynamic Analysis and Design Optimization (SAADO) for a 3-D Rigid Wing (1999)
    In:  CASI
    Details
    Publication Date: 2019-07-10
    Description: The formulation and implementation of an optimization method called Simultaneous Aerodynamic Analysis and Design Optimization (SAADO) is presented and applied to a simple 3D wing problem. The method aims to reduce the computational expense incurred in performing shape optimization using state-of-the-art CFD flow analysis and sensitivity analysis tools. Results for this small problem show that the method reaches the same local optimum as conventional optimization methods and does so in about half the computational time.
    Keywords: Aircraft Design, Testing and Performance
    Type: AIAA Paper 99-3296
    Format: text
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  • 10
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    Discontinuous Galerkin Finite Element Method for Parabolic Problems (2004)
    In:  CASI
    Details
    Publication Date: 2019-07-10
    Description: In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of parallel ut(t) parallel Lz(omega) = parallel ut parallel2, for the discontinuous Galerkin finite element method for one-dimensional parabolic problems. Optimal convergence rates in both time and spatial variables are obtained. A discussion of automatic time-step control method is also included.
    Keywords: Mathematical and Computer Sciences (General)
    Format: application/pdf
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