Multi-Scale Coupling in Ocean and Climate Modeling

High-resolution simulations of planetary-scale, rotating flows using the Primitive Equations can now resolve the Rossby deformation radius, the scale at which the baroclinic instability converts available potential energy to kinetic energy, thereby creating eddies. As it becomes possible to increase resolution beyond the Rossby deformation radius, more intermediate-scale and small-scale dynamics will contribute to mathematical simulations. This project addresses mathematical modeling issues that are fundamental for atmosphere and ocean modeling, and ultimately for climate modeling as well. Specifically, it addresses interscale coupling between fast, small-scale inertial-gravity waves and slow, large-scale coherent motions such as the jet stream and large-scale cyclones. The project provides a unique opportunity for PhD students to acquire mathematical and practical knowledge necessary to develop the next generation of ocean and climate models.