Turbulent flows in the atmosphere and ocean include a huge range of scales that are influenced by the Earth’s rotation, buoyancy and/or boundaries. Numerical simulations in this area are therefore very challenging to resolve such a huge range scale. A common numerical approach in geophysical turbulence is that large-scale eddies are explicitly resolved and smaller-scale eddies are parameterized using sub-grid-scale (SGS) models. I am interested in studying interactions and energy (or enstrophy) transfers between large-scale and SGS motions. This fundamental study is a basis for developing more sophisticated SGS parameterizations that cover weaknesses of current SGS models, such as being very dissipative at the grid scale, and so show better performance in which more accurate results with less computational costs are desirable. My current project is about developing a framework for the parameterization of SGS eddies in both non-eddying and eddy-permitting resolutions in the ocean. I am collaborating with Alistair Adcroft (Princeton University) and Malte Jansen (University of Chicago) during this project.  

Please contact me at skhani@princeton.edu if you want to know more about my research work.