A numerical method for the viscous incompressible Oseen flow in shape reconstruction

Wenjing Yan; Yaling He; Yichen Ma

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A numerical method for the viscous incompressible Oseen flow in shape reconstruction

机译：形状重构中粘性不可压缩Oseen流的数值方法

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摘要

This paper is concerned with the shape reconstruction of a bounded domain with a viscous incompressible fluid driven by the Oseen equations. For the approximate solution of the ill-posed and nonlinear problem we propose a regularized Gauss-Newton method. A theoretical foundation for the method is given by establishing the differentiability of the boundary value problem with respect to the boundary in the sense of the domain derivative. The results of several numerical experiments show that our theory is useful for practical purpose, and the proposed algorithm is feasible.

机译：本文涉及由Oseen方程驱动的具有粘性不可压缩流体的有界域的形状重构。对于不适定和非线性问题的近似解，我们提出了一种正则化的高斯-牛顿法。通过建立域导数意义上的边界值问题相对于边界的可微性，为该方法提供了理论基础。若干数值实验的结果表明，我们的理论是实用的，所提出的算法是可行的。

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来源
《Applied Mathematical Modelling》 |2012年第1期|p.301-309|共9页
作者
Wenjing Yan; Yaling He; Yichen Ma;
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作者单位

School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, PR China;

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, PR China;

School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
domain derivative; shape reconstruction; oseen equations; inverse problem; regularized gauss-newton algorithm;

机译：域导数形状重建;oseen方程;反问题正则化高斯牛顿算法;

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3. Numerical stabilities of loosely coupled methods for robust modeling of lightweight and flexible structures in incompressible and viscous flows [J] . Deniz Tolga Akcabay, Jian Xiao, Yin Lu Young 力学学报：英文版 . 2017,第004期

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机译：不可压缩粘性流的数值模拟：通过热场旋转法生长单晶
5. Numerical simulations of incompressible laminar flows using viscous-inviscid interaction procedures. [D] . Shatalov, Alexander V. 2006

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6. Numerical simulation of incompressible viscous flow in deforming domains [O] . Phillip Colella, David P. Trebotich 1999

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7. Numerical simulation of 3-D incompressible unsteady viscous laminar flow numerical methods in fluid mechanics volume 36 M. Deville, T.-H. Le and Y. Morchoisne Vieweg, Friedr. Vieweg Sohn, Verlagsgesellschaft mbH, Braunschweig, Weisbaden, Germany, ISBN 3-528-07636-4. [O] . Emerson D.R. 1994

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A numerical method for the viscous incompressible Oseen flow in shape reconstruction

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