Shape optimization for suppressing coherent structure of two-dimensional open cavity flow
Shape optimization for suppressing coherent structure of two-dimensional open cavity flow
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DOI：
10.1299/jfst.2021jfst0002
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发表时间：
2021
影响因子：
0.8
通讯作者：
T. Nakazawa;T. Misaka;C. Poignard
中科院分区：
文献类型：
--
作者：
T. Nakazawa;T. Misaka;C. Poignard
本文提出了作为具有奇点的域中的形状优化问题而获得的最优设计。对于形状优化，快照本征正交分解（快照 POD）中的特征值被定义为成本函数。主要问题是非平稳纳维-斯托克斯问题和Snapshot POD 的特征值问题。使用拉格朗日乘子和有限元方法描述目标函数。初始域采用二维开腔流，该域包含奇点。本文使用假设H1和H2中速度矢量的两种灵敏度。使用 H1 梯度方法进行域变形，网格上的所有三角形都会随着成本函数的减小而变形。最后，比较 Snapshot POD 在初始域和最优域中的特征值。
This paper presents an optimal design obtained as a shape optimization problem in a domain with a singular point. For shape optimization, the eigenvalue in Snapshot Proper Orthogonal Decomposition (Snapshot POD) is defined as a cost function. The main problems are a Non-stationary Navier–Stokes problem and eigenvalue problem of Snapshot POD. An objective functional is described using Lagrange multipliers and finite element method. Twodimensional open cavity flow is adopted for an initial domain, where the domain includes a singular point. In this paper, two kinds of sensitivities assuming velocity vector in H1 and H2 are used. Using H1 gradient method for domain deformation, all triangles over a mesh are deformed as the cost function decreases. Finally, eigenvalues of Snapshot POD are compared in the initial and optimal domains.