Shape Optimization Using Adjoint Variable Method for Reducing Drag

To decrease the fluid drag force on the surface of a specified object subjected to unsteady flow, under a constant volume condition, the adjoint variable method is formulated by using FEM. Based on the Lagrange multiplier method (a conditional variational principle), this method consists of the stat...

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Bibliographic Details
Published inJournal of Power and Energy Systems Vol. 1; no. 2; pp. 166 - 177
Main Authors SHINOHARA, Kazunori, OKUDA, Hiroshi, ITO, Satoshi, NAKAJIMA, Norihiro, IDA, Masato
Format Journal Article
LanguageEnglish
Published The Japan Society of Mechanical Engineers 2007
Subjects
Adjoint Variable Method
Adjoints
Algorithms
CFD
Computational fluid dynamics
Drag Reduction
FEM
Finite element method
Fluid flow
HEC-MW
Mathematical analysis
Mathematical models
Navier-Stokes Equation
Shape Optimization
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Summary:To decrease the fluid drag force on the surface of a specified object subjected to unsteady flow, under a constant volume condition, the adjoint variable method is formulated by using FEM. Based on the Lagrange multiplier method (a conditional variational principle), this method consists of the state equation, the adjoint equation and the sensitivity equation. To solve the equations effectively using the steepest descent method, a parallel algorithm is constructed. The shape optimization code for solving a 3D problem using a parallel algorithm was implemented on PC cluster using the HEC-MW library(1). Results show that, by using shape optimization, the fluid drag force located in Reynolds number 250 can be reduced by about 38.1%.
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ISSN:1881-3062
1881-3062
DOI:10.1299/jpes.1.166