Observations on computational methodologies for use in large-scale, gradient-based, multidisciplinary design

Various computational methodologies relevant to large-scale multidisciplinary gradient-based optimization for engineering systems design problems are examined with emphasis on the situation where one or more discipline responses required by the optimized design procedure involve the solution of a system of nonlinear partial differential equations. Such situations occur when advanced CFD codes are applied in a multidisciplinary procedure for optimizing an aerospace vehicle design. A technique for satisfying the multidisciplinary design requirements for gradient information is presented. The technique is shown to permit some leeway in the CFD algorithms which can be used, an expansion to 3D problems, and straightforward use of other computational methodologies.

[1]  Jaroslaw Sobieszczanski-Sobieski,et al.  The case for aerodynamic sensitivity analysis , 1987 .

[2]  Antony Jameson,et al.  Successes and challenges in computational aerodynamics , 1987 .

[3]  Antony Jameson,et al.  Aerodynamic design via control theory , 1988, J. Sci. Comput..

[4]  Jaroslaw Sobieszczanski-Sobieski,et al.  Multidisciplinary Optimization for Engineering Systems: Achievements and Potential , 1989 .

[5]  H. Elbanna,et al.  Determination of aerodynamic sensitivity coefficients in the transonic and supersonic regimes , 1989 .

[6]  V. Vatsa,et al.  development of a multigrid code for 3-D Navier-Stokes equations and its application to a grid-refinement study , 1990 .

[7]  H. Elbanna,et al.  Determination of aerodynamic sensitivity coefficients based on the transonic small perturbation formulation , 1990 .

[8]  Jaroslaw Sobieszczanski-Sobieski,et al.  Recent experience with multidisciplinary analysis and optimization in advanced aircraft design , 1990 .

[9]  V. Korivi,et al.  Sensitivity analysis, approximate analysis, and design optimization for internal and external viscous flows , 1991 .

[10]  A. Griewank,et al.  On the calculation of Jacobian matrices by the Markowitz rule , 1991 .

[11]  George S. Dulikravich,et al.  Aerodynamic shape design and optimization , 1991 .

[12]  V. Korivi,et al.  Sensitivity analysis applied to the Euler equations - A feasibility study with emphasis on variation of geometric shape , 1991 .

[13]  Andreas Griewank,et al.  The chain rule revisited in scientific computing. , 1991 .

[14]  P. D. Frank,et al.  A comparison of two closely-related approaches to aerodynamic design optimization , 1991 .

[15]  David W. Juedes,et al.  A taxonomy of automatic differentiation tools , 1991 .

[16]  Terry L. Holst,et al.  The NASA Computational Aerosciences Program - Toward teraFLOPS computing , 1992 .

[17]  Andreas Griewank,et al.  ADIFOR - Generating Derivative Codes form Fortran Programs , 1992, Sci. Program..

[18]  Joel H. Saltz,et al.  ICASE Report No . 92-12 / iVG / / ff 3 J / ICASE THE DESIGN AND IMPLEMENTATION OF A PARALLEL UNSTRUCTURED EULER SOLVER USING SOFTWARE PRIMITIVES , 2022 .

[19]  H. Elbanna,et al.  Determination of aerodynamic sensitivity coefficients based on the three-dimensional full potential equation , 1992 .

[20]  Andreas Griewank,et al.  ADIFOR: A Fortran system for portable automatic differentiation , 1992 .

[21]  D. Mavriplis Three dimensional unstructured multigrid for the Euler equations , 1991 .

[22]  Andreas Griewank,et al.  ADIFOR: Automatic differentiation in a source translator environment , 1992, ISSAC '92.

[23]  P. A. Newman,et al.  An incremental strategy for calculating consistent discrete CFD sensitivity derivatives , 1992 .

[24]  M. D. Salas,et al.  Aerodynamic design and optimization in one shot , 1992 .

[25]  Jaroslaw Sobieszczanski-Sobieski,et al.  Preliminary results from the High Speed Airframe Integration Research project , 1992 .

[26]  Edward B. Parlette,et al.  Development of a flexible and efficient multigrid-based multiblock flow solver; aiaa-93-0677 , 1993 .

[27]  G. Burgreen,et al.  Aerodynamic Shape Optimization Using Sensitivity Analysis on Third-Order Euler Equations , 1993 .

[28]  V. Korivi,et al.  Discrete shape sensitivity equations for aerodynamic problems , 1991 .

[29]  A. Griewank,et al.  Automatic differentiation of algorithms : theory, implementation, and application , 1994 .