Linearized pipe flow to Reynolds number 107
Linearized pipe flow to Reynolds number 107
复制标题
DOI：
10.1016/s0021-9991(03)00029-9
复制
发表时间：
2003-03-20
影响因子：
4.1
通讯作者：
Trefethen, LN
中科院分区：
文献类型：
--
作者：
Meseguer, A;Trefethen, LN
本文用傅立叶-切比雪夫-彼得罗夫-伽辽金谱方法高精度地计算了无限长圆管内流动的线性化动力学。我们的代码的不同寻常之处在于它是基于螺线管速度变量的，并且是用MatLab编写的。系统地研究了当R从10(2)到理想化(物理上不可实现)值10(7)时，本征值、瞬时增长因子和其他量与轴向波数和方位波数以及雷诺数R的关系。根据S.J.查普曼最近的理论结果，考虑了向湍流转变的含义。(C)2003 Elsevier Science B.V.保留所有权利。
A Fourier-Chebyshev Petrov-Galerkin spectral method is described for high-accuracy computation of linearized dynamics for flow in an infinite circular pipe. Our code is unusual in being based on solenoidal velocity variables and in being written in MATLAB. Systematic studies are presented of the dependence of eigenvalues, transient growth factors, and other quantities on the axial and azimuthal wave numbers and the Reynolds number R for R ranging from 10(2) to the idealized (physically unrealizable) value 10(7). Implications for transition to turbulence are considered in the light of recent theoretical results of S.J. Chapman. (C) 2003 Elsevier Science B.V. All rights reserved.