Optimal Shape Design for the Time-dependent Navier--Stokes Flow

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dc.creatorGao, Zhiming
dc.creatorMa, Yichen
dc.creatorZhuang, Hongwei
dc.date2006-12-06
dc.date.accessioned2026-07-07T07:34:41Z
dc.date.available2026-07-07T07:34:41Z
dc.descriptionThis paper is concerned with the problem of shape optimization of two-dimensional flows governed by the time-dependent Navier-Stokes equations. We derive the structures of shape gradients with respect to the shape of the variable domain for time-dependent cost functionals by using the state derivative with respect to the shape of the fluid domain and its associated adjoint state. Finally we apply a gradient type algorithm to our problem and numerical examples show that our theory is useful for practical purpose and the proposed algorithm is feasible in low Reynolds number flow.
dc.description22 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0612154
dc.identifierhttp://arxiv.org/abs/math/0612154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119853
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject35B37; 35Q30; 49K40
dc.titleOptimal Shape Design for the Time-dependent Navier--Stokes Flow
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