A One-Step Discrete Adjoint-Based Approach for Combined Design Optimization and A Posteriori Error Estimation

Joao Duarte Carrilho Miranda, Simon Abraham, Khairy Elsayed, Christian Lacor

Research output: Chapter in Book/Report/Conference proceedingConference paper

Abstract

In recent years, CFD based design for flow related industrial applications, such as aerodynamics and turbomachinery, has increased in popularity. This has led to an intensive research towards adjoint formulations, both discrete and continuous, as this allows to compute the gradient of the objective (needed in gradient based optimization) at the cost of roughly an extra single CFD simulation, and this independently of the number of design variables. As industrial design problems usually have many design variables, the adjoint approach outperforms the more traditional approaches to find the sensitivities such as a finite differencing approach. Another application of the adjoint method is in adjoint-based a posteriori error estimation where the adjoint solution is used to estimate the error on the objective and to carry out grid adaptation combined with output error control. In the present paper, we propose to combine both applications of the adjoint into a one-step combined design optimization and a posteriori error estimation methodology.
Original languageEnglish
Title of host publication4th International Conference on Engineering Optimization (EngOpt 2014)
Pages81-86
Publication statusPublished - 2014
Event4th International Conference on Engineering Optimization, EngOpt 2014 - Lisbon, Portugal
Duration: 8 Sep 201411 Sep 2014

Conference

Conference4th International Conference on Engineering Optimization, EngOpt 2014
CountryPortugal
CityLisbon
Period8/09/1411/09/14

Keywords

  • Adjoint Methods
  • Posteriori Error Estimation

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