AI 中文总结
本文研究半空间内沿无限平面的湍流，提出基于谱方法的数值算法，旨在探究粘性与对数子层流动是否独立于近壁湍流外部参数。
AI 中文摘要
我们研究半空间内沿无限平面的湍流，将其视为雷诺数无限增大时，湍流近壁流动中粘性子层运动的极限情况。除无滑移条件外，还在流线上指定平均剪应力值。本文提出一种基于知名谱方法的数值求解算法，该算法表明，壁面边界条件结合速度分量在无穷远处不会指数增长的物理合理约束，可唯一确定所研究的湍流流动。该算法的实施将使我们能够得出关于“粘性子层和对数子层中的流动独立于湍流近壁流动外部参数”这一观点有效性的结论。
英文摘要
We consider turbulent flow in a half-space along an infinite plane. We regard it as the limit to which the motion in the viscous sublayer of turbulent near-wall flows tends as Reynolds number increases indefinitely. In addition to the no-slip condition, an averaged shear stress value is specified on the streamlined surface. A numerical solution algorithm is proposed, based on the well-known spectral method, which demonstrates that the boundary conditions on the wall along with the physically justified constraint that the velocity components do not grow exponentially at infinity uniquely determine the turbulent flow under consideration. The implementation of the algorithm will allow us to draw conclusions about the validity of the idea that the flow in the viscous and logarithmic sublayers is independent of the external parameters of turbulent near-wall flows.
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