Numerical Models of the Vertical Turbulent Exchange in Stably Stratified Water Body: I. Mathematical Models

Abstract

Improved second-order mathematical models are developed for description of the processes of vertical turbulent exchange in stably stratified water body. The models are based on algebraic representations of Reynolds stresses and fluxes and the use of a differential transport equation of dispersion of fluctuations of the vertical velocity component. A numerical model of the vertical turbulent exchange under simultaneous stratification in temperature and salinity is developed. In the case of stable stratification defined by only a variation in salinity, role ofWeinstock modification of the relaxation time scale of a scalar field is evaluated.