This project addresses energy backscatter from sub-grid scale motion, both theoretically and in the context of state-of-the-art global ocean circulation models at “eddy permitting” or barely eddy resolving resolutions. We systematically explore remedies by quantifying the energy budget near the grid scale in situations close to geostrophic turbulence, evaluating existing closure schemes, investigating new approaches to minimally dissipative sub-grid closures, and transferring the best approaches to full primitive equation ocean and earth system models.
Stochastic superparametrization (SSP) for ocean models
We are working on adapting SSP for applying it to ocean primitive equations (PE).
Please download Anton's report here, since we cannot display his equations with our CMS.
Kutsenko, A. A. (2017). Application of matrix-valued integral continued fractions to spectral problems on periodic graphs with defect. Journal of Mathematical Physics 58, 063516 (2017), doi: 10.1063/1.4989987
Kutsenko, A. A., Nagy, A. J., Su, X., Shuvalov, A. L. , Norris, A. N. (2017). Wave Propagation and Homogenization in 2d and 3d Lattices: A Semi-Analytical Approach. Q J Mechanics Appl Math (2017) 70 (2): 131-151. doi: 10.1093/qjmam/hbx002