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Shape reconstruction for the time-dependent Navier-Stokes flow

✍ Scribed by Wen-Jing Yan; Yi-Chen Ma

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
132 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This article deals with the shape reconstruction of a bounded domain with a viscous incompressible fluid driven by the time‐dependent Navier‐Stokes equations. For the approximate solution of the ill‐posed and nonlinear problem we propose a regularized Newton method. A theoretical foundation for the Newton method is given by establishing the differentiability of the initial boundary value problem with respect to the interior boundary curve in the sense of the domain derivative. Numerical examples indicate the feasibility of our method. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

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