The numerical solution of the Mellor-Yamada level 2.5 turbulent kinetic energy equation in the eta model

Abstract

Analysis of the equation revealed that the solution should tend toward a stational asymptotic value, which is the equilibrium value of turbulent kinetic energy for the level 2, Mellor-Yamada model. Idealized cases are used to demonstrate the performance of the new method. It has been incorporated into the eta coordinate, numerical weather prediction model being used by the National Meteorological Center. Although the new method corrects the particular deficiency of the previous method, the integration of the equation for the turbulent kinetic energy remains subject to oscillatory solutions associated with rapid variations of the Richardson number. -from Authors