A multidisciplinary optimization using semi-analytical sensitivity analysis procedure and multilevel decomposition

Aditi Chattopadhyay, N. Pagaldipti

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

This paper addresses the development of a multidisciplinary optimization procedure using an efficient semi-analytical sensitivity analysis technique and multilevel decomposition for the design of aerospace vehicles. A semi-analytical sensitivity analysis procedure is developed for aerodynamic design sensitivities. Accuracy and efficiency of the sensitivity analysis procedure is established through comparison of the results with those obtained using a finite difference technique. The optimization problem, with the integration of aerodynamics and structures, is decomposed into two levels. Optimization is performed for improved aerodynamic performance at the first level and improved structural performance at the second level. Aerodynamic analysis is performed by solving the three-dimensional parabolized Navier Stokes equations. A nonlinear programming technique and an approximate analysis procedure are used for optimization. The procedure developed is applied to design the wing of a high speed aircraft. Results obtained show significant improvements in the wing aerodynamic and structural performance when compared to a reference or baseline wing configuration. The use of the semi-analytical sensitivity technique provides significant computational savings.

Original languageEnglish (US)
Pages (from-to)55-66
Number of pages12
JournalComputers and Mathematics with Applications
Volume29
Issue number7
DOIs
StatePublished - 1995

Fingerprint

Sensitivity analysis
Sensitivity Analysis
Aerodynamics
Decomposition
Decompose
Optimization
Aerodynamic Design
Aerospace vehicles
Design Sensitivity
Finite Difference Technique
Nonlinear programming
Nonlinear Programming
Navier Stokes equations
Aircraft
Baseline
Navier-Stokes Equations
High Speed
Optimization Problem
Three-dimensional
Configuration

Keywords

  • Computational fluid dynamics
  • Multidisciplinary
  • Multilevel decomposition
  • Optimization
  • Semi-analytical
  • Sensitivity analysis

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

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abstract = "This paper addresses the development of a multidisciplinary optimization procedure using an efficient semi-analytical sensitivity analysis technique and multilevel decomposition for the design of aerospace vehicles. A semi-analytical sensitivity analysis procedure is developed for aerodynamic design sensitivities. Accuracy and efficiency of the sensitivity analysis procedure is established through comparison of the results with those obtained using a finite difference technique. The optimization problem, with the integration of aerodynamics and structures, is decomposed into two levels. Optimization is performed for improved aerodynamic performance at the first level and improved structural performance at the second level. Aerodynamic analysis is performed by solving the three-dimensional parabolized Navier Stokes equations. A nonlinear programming technique and an approximate analysis procedure are used for optimization. The procedure developed is applied to design the wing of a high speed aircraft. Results obtained show significant improvements in the wing aerodynamic and structural performance when compared to a reference or baseline wing configuration. The use of the semi-analytical sensitivity technique provides significant computational savings.",
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