New theoretical approach to dynamics of heat-mass-transfer, thermal turbulence and air ventilation in atmosphere of an industrial city We have developed a new theoretical approach to dynamics of heat-mass-transfer, thermal turbulence and air ventilation in atmosphere of an industrial city, including an improved theory of atmospheric circulation in combination with the hydrodynamic model (with correct account of turbulence in atmosphere of the urban area) and theory of a complex geophysical field is applied to the simulation of heat and air transfer in atmosphere of industrial region. To determine a spectrum of thermal turbulence of an industrial city's zone, the modified approximation of "shallow water" is used. In contrast to the standard difference methods of their solution, we use the spectral expansion algorithm. For calculating air circulation in an industrial city's periphery we use theory of a plane complex geophysical field. Equating the speed components determined in the shallow water model and plane complex geophysical field model, one can find spectral matching between the wave numbers that define the functional elements in the Fourier-Bessel series with source element of a plane field theory.