The application of shape gradient for the incompressible fluid in shape optimization
type: Item
instance of: scholarly article
title: The application of shape gradient for the incompressible fluid in shape optimization
zbMATH Open document ID: 1299.76051
DOI: 10.1155/2013/728534
author: Axia Wang
author: Wenjing Yan
author: Yichen Ma
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: This paper is concerned with the numerical simulation for shape optimization of the Stokes flow around a solid body. The shape gradient for the shape optimization problem in a viscous incompressible flow is evaluated by the velocity method. The flow is governed by the steady-state Stokes equations coupled with a thermal model. The structure of continuous shape gradient of the cost functional is derived by employing the differentiability of a minimax formulation involving a Lagrange functional with the function space parametrization technique. A gradient-type algorithm is applied to the shape optimization problem. Numerical examples show that our theory is useful for practical purpose, and the proposed algorithm is feasible and effective.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 76D55
zbMATH DE Number: 6373009
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/728534
OpenAlex ID: W2058001339
Wikidata QID: Q59028683
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description: scientific article; zbMATH DE number 6373009