Atmosphere-Ocean Interaction plays a great role in various fields including but not limited to meteorology, climate modeling, aviation and defense industry. Due to its possible impact on economic activities and potential to adversely affect weather conditions and, as a result, food industry, modeling this interaction reliably has always arouse huge interest. On the other hand, modeling these systems is not an easy mission in consequence of the size of the region they occupy, common numerical singularities for turbulence flows and technological imperfections. In this talk, the lecturer is going to present various approaches to mitigate such computational issues for atmosphere-ocean interaction and go over some computational results verifying effectiveness of each approach.