Results of application of MM5 (Mesoscale Model 5, http://www.mmm.ucar.edu/mm5/mm5-home.html) and WRF (Weather Research and Forecast, http://wrf-model.org) mesoscale meteorological models to analysis of evolution of local atmospheric processes over the Western Siberia are presented. The considered mesoscale models were realized on multiprocessor computing system with distributed memory at the Tomsk State University and the Institute of Atmospheric Optics SB RAS. The obtained calculation results cover the dynamics of variation of the wind speed and direction, near-ground temperature, humidity, and spatial distribution of meteorological parameters at different moments. For various weather conditions, the predicted parameters were compared with results of meteorological observations over the region of interest.