52 citations · 101 across the 10 of their papers we have counts for
10 papers
Foundations of Global Ocean Climate Modelling at all Scales
Peter Korn
We introduce a computational method that extends the range of current global ocean climate models to non-hydrostatic scales, and establishes a convection resolving ocean model. The…
A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations
Peter Korn
The compressible barotropic Navier--Stokes equations in vector-invariant form preserve the vorticity structure of the system and underlie modern atmospheric and ocean dynamical cor…
Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations
Maximilian Witte, Fabricio Rodrigues Lapolli, Philip Freese +4
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-ne…
Accuracy and stability analysis of horizontal discretizations used in unstructured grid ocean models
Fabricio Rodrigues Lapolli, Pedro da Silva Peixoto, Peter Korn
One important tool at our disposal to evaluate the robustness of Global Circulation Models (GCMs) is to understand the horizontal discretization of the dynamical core under a shall…
Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent-McWilliams-Redi Eddy Parametrization Model
Peter Korn, Edriss S. Titi
We prove global well-posedness of the ocean primitive equations coupled to advection-diffusion equations of the oceanic tracers temperature and salinity that are supplemented by th…
Hasselmann's Paradigm for Stochastic Climate Modelling based on Stochastic Lie Transport
D. Crisan, D. D. Holm, P. Korn
A generic approach to stochastic climate modelling is developed for the example of an idealized Atmosphere-Ocean model that rests upon Hasselmann's paradigm for stochastic climate…
Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids
C. Mehlmann, S. Danilov, M. Losch +6
Linear Kinematic Features (LKFs) are found everywhere in the Arctic sea ice cover. They are strongly localized deformations often associated with the formation of leads and pressur…
Sea-ice dynamics on triangular grids
Carolin Mehlmann, Peter Korn
We present a stable discretization of sea-ice dynamics on triangular grids that can straightforwardly be coupled to an ocean model on a triangular grid with Arakawa C-type staggeri…
A study on boundary separation in an idealized ocean model
Peter D. Düben, Peter Korn
In numerical ocean models coast lines change the direction from one grid cell to its neighbor and the value for viscosity is set to be as small as possible. Therefore, model simula…
The representation of boundary currents in a finite element shallow water model
Peter D. Düben, Peter Korn
We evaluate the influence of local resolution, eddy viscosity, coastline structure, and boundary conditions on the numerical representation of boundary currents in a finite element…