Active control and drag optimization for flow past a circular cylinder I. Oscillatory cylinder rotation
Active control and drag optimization for flow past a circular cylinder I. Oscillatory cylinder rotation
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DOI：
10.1006/jcph.2000.6556
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发表时间：
2000-09-01
影响因子：
4.1
通讯作者：
Periaux, J
中科院分区：
文献类型：
--
作者：
He, JW;Glowinski, R;Periaux, J
本文的主要目的是利用二维Navier-Stokes方程作为Row模型，研究不可压缩粘性流通过圆柱体的主动控制和阻力优化的计算方法。计算方法依赖于以下组成部分：通过有限元近似对Navier-Stokes方程进行空间离散化，通过二阶精确的两步隐式/显式有限差分格式进行时间离散化，通过伴随方程方法计算成本函数梯度，以及通过准牛顿方法最小化成本函数。上述方法已被应用于边界控制，通过围绕圆柱体旋转流动，与固定圆柱体配置相比，在雷诺数从200到1000的范围内，阻力减少了30%到60%。(C) 2000年学术出版社。
The main objective of this article is to investigate computational methods fur the active control and drag optimization of incompressible viscous flow past cylinders, using the two-dimensional Navier-Stokes equations as the Row model. The computational methodology relies on the following ingredients: space discretization of the Navier-Stokes equations by finite element approximations, time discretization by a second-order-accurate two-step implicit/explicit finite difference scheme, calculation of the cost function gradient by the adjoint equation approach, and minimization of the cost function by a quasi-Newton method a la BFGS. The above methods have been applied to boundary control by rotation of the flow around a circular cylinder and show 30 to 60% drag reduction, compared to the fixed cylinder configuration, fur Reynolds numbers in the range from 200 to 1000. (C) 2000 Academic Press.