Optimal shape design for the time-dependent Navier-Stokes flow

被引：7
|
作者：
Gao, Zhiming [1 ]
Ma, Yichen [1 ]
Zhuang, Hongwei
机构：
[1] Xian Jiaotong Univ, Sch Sci, Xian 710049, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2008年 / 57卷 / 10期
关键词：
shape optimization; shape derivative; gradient algorithm; material derivative; time-dependent Navier-Stokes equations;
D O I：
10.1002/fld.1673
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This 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 for time-dependent cost functionals by using the state derivative 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 purposes and the proposed algorithm is feasible in low Reynolds number flows. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：1505 / 1526
页数：22
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