sup3r.utilities.utilities.gradient_richardson_number

gradient_richardson_number(T_top, T_bottom, P_top, P_bottom, U_top, U_bottom, V_top, V_bottom, delta_h)[source]

Formula for the gradient richardson number - related to the bouyant production or consumption of turbulence divided by the shear production of turbulence. Used to indicate dynamic stability

Parameters:

  • T_top (ndarray) – Temperature at higher height. Used in the approximation of potential temperature derivative

  • T_bottom (ndarray) – Temperature at lower height. Used in the approximation of potential temperature derivative

  • P_top (ndarray) – Pressure at higher height. Used in the approximation of potential temperature derivative

  • P_bottom (ndarray) – Pressure at lower height. Used in the approximation of potential temperature derivative

  • U_top (ndarray) – Zonal wind component at higher height

  • U_bottom (ndarray) – Zonal wind component at lower height

  • V_top (ndarray) – Meridional wind component at higher height

  • V_bottom (ndarray) – Meridional wind component at lower height

  • delta_h (float) – Difference in heights between top and bottom levels

Returns:

ndarray – Gradient Richardson Number