Adjoint Variable Method for Multi-Objective Sizing and Shape Optimization
TLDR
In this paper, the adjoint variable method was used to reduce the number of sensitivity calculations for structural sizing and shape optimization problems, which can be used to solve multi-objective structural sizing problems efficiently.Abstract:
With smooth objective functions and constraint conditions, gradient-based methods can be used to solve multi-objective optimization problems efficiently. However, when applied to structural sizing optimization problems, using the Finite Element Method (FEM) and a finite difference scheme to calculate sensitivities can be computationally expensive. The adjoint variable method can be used to reduce computational cost. In order to solve multi-objective structural sizing and shape optimization problems efficiently, this paper proposes using the adjoint variable method. The adjoint variable method efficiently calculates multiple sensitivities for objectives that involve structural responses and cuts down computational cost by reducing the number of sensitivity calculations required per design variable.read more
Citations
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Journal ArticleDOI
Multi-Objective Optimization of a Transonic Compressor Rotor by Using an Adjoint Method
Jiaqi Luo,Feng Liu +1 more
TL;DR: In this article, the authors proposed a multi-objective optimization method based on the adjoint method to increase the total pressure ratio and the adiabatic efficiency of an aircraft engine.
Journal ArticleDOI
Multi-Objective Shape Optimization in Forced Heat-Convection Fields
TL;DR: In this article, a multi-objective shape optimization problem using normalized objective functional is formulated for the total dissipated energy minimization problem and the temperature distribution prescribed problem in steady heat-convection fields.
Proceedings ArticleDOI
Multi-Objective Design Optimization of a Transonic Compressor Rotor Using an Adjoint Equation Method
Jiaqi Luo,Feng Liu +1 more
TL;DR: In this paper, a viscous adjoint method is applied to the multi-objective design optimization of a transonic compressor rotor blade row, and the results are presented in detail and the effects of blade profile modification on performance improvement and shock/tip-leakage interaction are examined.
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