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Adjoint shape optimization for fluid‐structure interaction
Author(s) -
Heners Jan Ph.,
Radtke Lars,
Düster Alexander,
Hinze Michael
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800427
Subject(s) - adjoint equation , sensitivity (control systems) , computation , fluid–structure interaction , shape optimization , gradient descent , mathematical optimization , process (computing) , flow (mathematics) , computer science , method of steepest descent , fluid dynamics , balanced flow , mathematics , algorithm , finite element method , mechanics , geometry , mathematical analysis , physics , engineering , artificial intelligence , electronic engineering , artificial neural network , thermodynamics , differential equation , operating system
Abstract A partitioned approach for the solution of the adjoint associated to the coupled system of time‐dependent fluid‐structure interaction is presented. Allowing for an efficient computation of both sensitivity and gradient distributions relying on the adjoint method, an optimization strategy based on the steepest descent algorithm is applied. The performance of the developed shape optimization process improving flow conditions and related cost functionals is demonstrated by application to ducted flow situations and common fluid dynamic design tasks considering the interaction between fluid loads and structural deformations. Both physical capability and feasibility are discussed in terms of theoretical and numerical aspects in order to evaluate the efficiency of the realized optimal control process.