有源Turbulence在曲面上的几何控制
Comment on Geometrical Control of Active Turbulence in Curved Topographies
摘要：
在最近的信皮尔斯等。等，Phys. Rev. Lett. 122，168002（2019）作者研究了二维有源液晶的湍流动力学，该液晶被约束到环面的表面。底层模型结合了不可压缩表面纳维-斯托克斯方程与摩擦和主动强迫的表面Landau-de Gennes模型的液晶。为了数值求解表面纳维-斯托克斯方程，考虑了涡量流函数方法。这种方法是不适当的表面上，不是简单连接-如所考虑的环面-由于非平凡的谐波向量场。我们将解释基本情况，并提供细节和例子来反驳皮尔斯等人的论点。等，Phys. Rev. Lett. 122，168002（2019）。
英文摘要：
In the recent letter Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019) the authors investigate the turbulent dynamics of a two-dimensional active nematic liquid crystal which is constrained to the surface of a torus. The underlying model combines an incompressible surface Navier-Stokes equation with friction and active forcing with a surface Landau-de Gennes model for nematic liquid crystals. To numerically solve the surface Navier-Stokes equation a vorticity-stream function approach is considered. This approach is not appropriate on surfaces that are not simply connected - such as the considered torus - due to non-trivial harmonic vector fields. We will explain the underlying situation and provide details and examples to rebut the argumentation in Pearce et. al. Phys. Rev. Lett. 122, 168002 (2019).
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