论文标题
关于R.I. nigmatulin和L.F. Richardson方程的静静力近似
On hydrostatic approximation by R.I. Nigmatulin and L.F. Richardson's equation
论文作者
论文摘要
当惯性力与重力相比很小时，在“水力和热力学方程式中给出的定理”（2018）是错误的，因为当Navier-Stokes方程系统的解决方案在垂直近似值接近时，Navier-Stokes方程系统的解决方案不会融合到液压方程式系统的解决方案。主要结果是本文中给出的尺度不适合应用静水近似。正确的渐近造型应由传统的静液压参数H/L给出，其中H和L是运动的垂直和水平尺度。同样，对静液压近似中垂直速度的L.F. Richardss方程的比例分析也不正确。
The theorem given in 'Equations of Hydro-and Thermodynamics of the Atmosphere when Inertial Forces Are Small in Comparison with Gravity' (2018) is wrong, since the solutions of the system of Navier-Stokes equations do not converge to the solutions of the system of hydrostatic approximation equations, when the vertical acceleration approaches zero. The main consequence is that the scales given in the paper are not suitable for application of hydrostatic approximation. The correct asymptotics should be given by the traditional hydrostatic parameter H/L, where H and L are the vertical and horizontal scales of motion. Also scale analysis of the L.F. Richardson's equation for vertical velocity in hydrostatic approximation is not correct.
