Shape optimization of a body located in incompressible flow using adjoint method and partial control algorithm
Shape optimization of a body located in incompressible flow using adjoint method and partial control algorithm
复制标题
使用伴随法和部分控制算法对不可压缩流中的物体进行形状优化
DOI：
10.1002/fld.2441
复制
发表时间：
2011
影响因子：
1.8
通讯作者：
M. Kawahara
中科院分区：
文献类型：
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作者：
M. Sakamoto;M. Kawahara
本研究的目的是获得一个最佳形状的物体位于不可压缩的粘性流。基于有限元法和最优控制理论，通过确定表面坐标，定义了物体的最优形状，以使作用在其上的流体力最小。性能函数定义为阻力和升力的平方和，用于判断形状的最优性。最小化问题的解决使用伴随方程法。伴随方程中的梯度受有限元配置的影响。在形状优化中，使用其形状适合于该过程的有限元网格是重要的。如果使用的有限元网格不适合计算，则不计算精确的梯度。因此，结构化网格用于身体的相邻区域，并且在每次迭代计算时使用Delaunay三角剖分来细化所有有限元网格。采用加权梯度法作为最小化技术。
The purpose of this study is to obtain an optimal shape of a body located in an incompressible viscous flow. The optimal shape of the body is defined so as to minimize the fluid forces acting on it by determining the surface coordinates based on the finite element method and the optimal control theory. The performance function, which is used to judge the optimality of a shape, is defined as the square sum of the drag and lift forces. The minimization problem is solved using an adjoint equation method. The gradient in the adjoint equation is affected by the finite element configuration. The use of a finite element mesh whose shape is appropriate for the procedure is important in shape optimization. If the finite element mesh used is not suitable for computations, the exact gradient is not calculated. Therefore, a structured mesh is used for the adjacent area of the body and all finite element meshes are refined using the Delaunay triangulation at each iteration computation. The weighted gradient method is applied as the minimization technique.
DOI：
10.1002/9780470549124.ch1
发表时间：
2019-10
期刊：
Optimization for Chemical and Biochemical Engineering
影响因子：
--
作者：
Xin-She Yang;Xingshi He
通讯作者：
Xin-She Yang;Xingshi He