Abstract: Solid evidences have shown tropospheric thunderstorms as representative sources of gravity wave activity at mesospheric altitudes. For instances, mesospheric heating was detected by rockets above thunderstorms. Upward traveling gravity waves were also observed by radar at stratospheric altitudes. Coherent circular gravity wave structure through nightglow emission exhibits from ground and satellite based platform observations. All these evidences are strongly associated with underlying thunderstorm activity. These types of storm occur frequently over the eastern coast of China, and over many other coast lines of the globe. Their mesospheric effects have not yet been adequately studied and described in scientific literature. With a numerical modeling, the paper focuses on a better understanding of the basic physics underlying the generation of such gravity waves and their energy dissipation at mesospheric altitudes. It shows that, during thunderstorm formation the cumulus can intensely and periodically absorb and release energy within large area, the instability of the troposphere occurs along with this periodical convection. Under such conditions, a simulated packet of the cylindrical gravity waves arises and propagates upward in our numerical model.