论文标题
流体针的瞬时和频线后动力学的galerkin力模型
Galerkin force model for transient and post-transient dynamics of the fluidic pinbal
论文作者
论文摘要
我们提出了一个与盖金模型相关的空气动力模型，该模型是未强制的流体弹球，这是围绕三个相等圆柱的二维流动，彼此之间有一个半径距离。起点是悬崖体流的盖金模型。在NOCA（1997，1999）和Liang＆Dong（2014）的开创性工作之后，该体内的力是该模式振幅的恒定线性季度函数。对于使用对称性和稀疏校准的非强制性流体弹球（Deng等，2020）的平均场模型（Deng等，2020）简化了力模型。该模型成功地应用于不同雷诺数模式中的瞬态和后频线动力学：Hopf-Bifurcation后的周期性涡流脱落和干草叉分叉后的不对称涡流脱落，该分支包含六个不同的Navier-Stokes解决方案。我们预见了Galerkin Force模型在其他悬崖主体和流量控制中的许多应用。
We propose an aerodynamic force model associated with a Galerkin model for the unforced fluidic pinball, the two-dimensional flow around three equal cylinders with one radius distance to each other. The starting point is a Galerkin model of a bluff-body flow. The force on this body is derived as a constant-linear-quadratic function of the mode amplitudes from first principles following the pioneering work of Noca (1997, 1999) and Liang & Dong (2014). The force model is simplified for the mean-field model of the unforced fluidic pinball (Deng et al. 2020) using symmetry properties and sparse calibration. The model is successfully applied to transient and post-transient dynamics in different Reynolds number regimes: the periodic vortex shedding after the Hopf-bifurcation and the asymmetric vortex shedding after the pitchfork bifurcation comprising six different Navier-Stokes solutions. We foresee many applications of the Galerkin force model for other bluff bodies and flow control.
