抑制二维开腔流相干结构的形状优化

IF 0.7 Q4 MECHANICS Journal of Fluid Science and Technology Pub Date : 2021-01-01 DOI:10.1299/jfst.2021jfst0002

T. Nakazawa, T. Misaka, C. Poignard

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引用次数: 2

摘要

本文提出了一种基于奇异点的形状优化问题的优化设计方法。对于形状优化，将快照固有正交分解(Snapshot POD)中的特征值定义为代价函数。主要问题是非平稳Navier-Stokes问题和快照POD的特征值问题。用拉格朗日乘子和有限元方法描述了一个目标泛函。初始域采用二维开腔流动，初始域包含一个奇异点。本文采用两种灵敏度，假设速度矢量为H1和H2。使用H1梯度法进行区域变形，网格上的所有三角形都随着代价函数的减小而变形。最后，比较了快照POD在初始域和最优域的特征值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Shape optimization for suppressing coherent structure of two-dimensional open cavity flow

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.

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来源期刊

Journal of Fluid Science and Technology MECHANICS-

CiteScore

1.00

自引率

12.50%

发文量

期刊介绍： Journal of Fluid Science and Technology (JFST) is an international journal published by the Fluids Engineering Division in the Japan Society of Mechanical Engineers (JSME). JSME had been publishing Bulletin of the JSME (1958-1986) and JSME International Journal (1987-2006) by the continuous volume numbers. Considering the recent circumstances of the academic journals in the field of mechanical engineering, JSME reorganized the journal editorial system. Namely, JSME discontinued former International Journals and projected new publications from the divisions belonging to JSME. The Fluids Engineering Division acted quickly among all divisions and launched the premiere issue of JFST in January 2006. JFST aims at contributing to the development of fluid engineering by publishing superior papers of the scientific and technological studies in this field. The editorial committee will make all efforts for promoting strictly fair and speedy review for submitted articles. All JFST papers will be available for free at the website of J-STAGE (http://www.i-product.biz/jsme/eng/), which is hosted by Japan Science and Technology Agency (JST). Thus papers can be accessed worldwide by lead scientists and engineers. In addition, authors can express their results variedly by high-quality color drawings and pictures. JFST invites the submission of original papers on wide variety of fields related to fluid mechanics and fluid engineering. The topics to be treated should be corresponding to the following keywords of the Fluids Engineering Division of the JSME. Basic keywords include: turbulent flow; multiphase flow; non-Newtonian fluids; functional fluids; quantum and molecular dynamics; wave; acoustics; vibration; free surface flows; cavitation; fluid machinery; computational fluid dynamics (CFD); experimental fluid dynamics (EFD); Bio-fluid.