Shape optimization using adjoint variable method for reducing drag in Stokes flow
Shape optimization using adjoint variable method for reducing drag in Stokes flow
复制标题
使用伴随变量方法进行形状优化以减少斯托克斯流中的阻力
DOI：
10.1002/fld.1677
复制
发表时间：
2008
影响因子：
1.8
通讯作者：
M. Ida
中科院分区：
文献类型：
--
作者：
K. Shinohara;H. Okuda;S. Ito;N. Nakajima;M. Ida
针对三维物体在Stokes流作用下的阻力极小化问题，提出了一种基于变分原理的伴随变量法，并将其应用于有限元法中。该方法的最优性条件由状态方程、伴随方程和灵敏度方程组成。作为相关技术，开发了表面网格的平滑方法、保证恒定体积条件的方法和使用双调和方程的网格重定位技术。这些技术是实现形状优化的关键。为了克服计算负担重和内存需求大等困难，本系统采用并行软件库HEC-MW提供的数据压缩技术实现。此外，通过使用HEC-MW，程序被有效地并行化，程序行的数量大大减少。在Stokes流动条件下，通过所提出的形状优化方法，圆柱上的阻力减少了约25%。版权所有© 2008约翰威利父子有限公司。
To minimize the drag of a 3D object placed under Stokes flow, an adjoint variable method based on the variational principle was formulated and applied to the finite element method. The optimality condition of the present method consists of the state equations, the adjoint equations, and the sensitivity equations. As related techniques, a smoothing method for the surface mesh, a method to guarantee the constant volume condition, and a mesh relocation technique using the biharmonic equation were developed. These techniques are crucial in realizing shape optimization. To overcome such difficulties as heavy computational burden and large memory requirements, the present system was implemented with the data compression technology supplied with the parallel software library HEC‐MW. Also, by utilizing HEC‐MW, the program was efficiently parallelized, and the number of program lines was dramatically reduced. By the proposed shape optimization method, the drag on a cylinder was reduced by about 25% under a Stokes flow condition. Copyright © 2008 John Wiley & Sons, Ltd.
空气动力设计优化的表面修饰方法
DOI：
--
发表时间：
2005
期刊：
AIAA Journal 43(4)
影响因子：
--
作者：
H.J.Kim;S.Koc;K.Nakahashi
通讯作者：
K.Nakahashi