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. (2019). A note on sharp spectral estimates for periodic Jacobi matrices. Journal of Approximation Theory, Vol. 242, p. 58-63.
Juricke, S., MacLeod, D., Weisheimer, A., Zanna, L., and Palmer, T. (2018). Seasonal to annual ocean forecasting skill and the role of model and observational uncertainty. Quarterly Journal of the Royal Meteorological Society.
Mohamad, H., Oliver, M. (2018). H s-class construction of an almost invariant slow subspace for the Klein-Gordon equation in the non-relativistic limit, Journal of Mathematical Physics, 59, 051509, https://doi.org/10.1063/1.5027040
Wang, Q., Wekerle, C., Danilov, S., Koldunov, N., Sidorenko, D., Sein, D., Rabe, B., Jung, T. (2018). Arctic Sea Ice Decline Significantly Contributed to the Unprecedented Liquid Freshwater Accumulation in the Beaufort Gyre of the Arctic Ocean, Geophysical Research Letters, 45, 4956-4964, https://doi.org/10.1029.2018GL077901
Kutsenko, A. A., Shuvalov, A. L., and Poncelet, O. (2018). Dispersion spectrum of acoustoelectric waves in 1D piezoelectric crystal coupled with 2D infinite network of capacitors, Journal of Applied Physics, 123, 044902, https://doi.org/10.1063/1.5005165 .
A. Kutsenko (2017). Mixed multidimensional integral operators with piecewise constant kernels and their representations. Linear and Multilinear Algebra, 1-10.
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