Shape optimization of body located in incompressible viscous flow

Autor:	Hiroshi Ishiyama, Mutsuto Kawahara
Rok vydání:	2008
Předmět:	Applied Mathematics Mathematical analysis Geometry Function (mathematics) Optimal control Finite element method Computer Science Applications Physics::Fluid Dynamics symbols.namesake Computational Theory and Mathematics Flow (mathematics) Lagrange multiplier Compressibility symbols Shape optimization Interpolation Mathematics
Zdroj:	International Journal of Computer Mathematics. 85:1515-1530
ISSN:	1029-0265 0020-7160
DOI:	10.1080/00207160802033400
Popis:	This paper presents a numerical determination of the optimal shape of body located in the incompressible viscous flow. The optimal shape is defined by the shape which has the minimum fluid force acting on the body. The shape optimization problem is based on an optimal control theory and can be formulated to find out geometrical coordinates of the body to minimize the performance function defined by the force subjected to the body. The performance function should be minimized satisfying the state equation. This problem can be transformed into the minimization problem without constraint condition by the Lagrange multiplier method. As a minimization technique, the gradient-based method is applied. The approximate solution to the flow problem is obtained by the finite element method based on the mixed interpolation with bubble function. In this research, the determination of the minimum fluid force shape in the incompressible Navier-Stokes flow is carried out.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3db12080a0b688515229a23297e4c6af https://doi.org/10.1080/00207160802033400 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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