Two-dimensional nonlinear plane Poiseuille–Couette flow homotopy revisited
Two-dimensional nonlinear plane Poiseuille–Couette flow homotopy revisited
复制标题
二维非线性平面 Poiseuille-Couette 流同伦重温
DOI：
10.1063/1.2943675
复制
发表时间：
2008
影响因子：
4.6
通讯作者：
F. Rincon
中科院分区：
文献类型：
--
作者：
U. Ehrenstein;M. Nagata;F. Rincon
Rincon[Phys.流体19,074105(2007年)]重新阐述了平面Couette流中二维定常非线性状态的存在性问题，得出的结论是不可能得到Cherabli和Ehrenstein[EUR.J·梅奇。B/流体14,667(1995)]使用它们的Poiseuille-Couette同伦。通过对多参数空间进行连续和不同的延拓，我们证明了对于平面Couette流极限，可以找到从平面Poiseuille流向周期波到二维非线性定态的复杂的数值路径。利用三种独立的求解方法对非线性Couette流态进行了反演，结果表明扰动流结构局部化在流向周期盒中。数值结果表明，在固定箱长下，非线性平面Couette流动扰动的宽度随分辨率的增加而减小。这个单数t..。
A recent paper by Rincon [Phys. Fluids 19, 074105 (2007)] readdressed the question of the existence of two-dimensional steady nonlinear states in plane Couette flow, coming to the conclusion that it is not possible to obtain the nonlinear plane Couette flow solutions reported by Cherhabili and Ehrenstein [Eur. J. Mech. B/Fluids 14, 667 (1995)] using their Poiseuille–Couette homotopy. Exploring the multiparameter space by performing several consecutive and distinct continuations, we show that it is possible to find a complex numerical path from plane Poiseuille streamwise periodic waves to two-dimensional nonlinear steady states for the plane Couette flow limit. The nonlinear Couette flow states are retrieved using three independent solution procedures and the disturbance flow structure is shown to be localized in the streamwise periodic box. Numerical evidence is provided that the width of the nonlinear plane Couette flow disturbance decreases with increasing resolution at fixed boxlength. This singular-t...