A New Approach to the Problem of Reconstructing the Vertical Turbulent Diffusion Coefficient in the Atmospheric Boundary Layer
M. A. Davydova, N. F. Elanśky, С. А. Захарова
Abstract
Abstract This paper describes a new approach to calculating the vertical turbulent diffusion coefficient and its variability, based on the use of modern asymptotic analysis in the singularly perturbed reaction–diffusion problems in combination with information obtained at one of the atmospheric monitoring stations. The capabilities of this method are demonstrated by using the diffusion model that describes changes in the vertical distribution of concentrations of anthropogenic impurities due to turbulent diffusion. Field measurements of the carbon monoxide concentration at various altitudes above Moscow are used in order to control the adequacy of the mathematical model and the efficiency of the calculation algorithm. Based on the analytical calculations, taking into account the initial and boundary conditions, which are consistent with the field observations, the vertical profiles of the turbulent diffusion coefficients and their seasonal changes are determined. The estimated reliability of the values recovered confirms the high efficiency of the proposed method and its high potential in the assessment of emissions and in the numerical atmosphere models.