​

​​Ten Selected Research Outputs

​​

• Korn, P. (2017), J. Comput. Phys. - sole author. The

    foundation ICON-O runs on; settled how to build a working C-grid ocean model on triangular meshes. Continued in        Korn \& Danilov (2017), Korn \& Linardakis (2018) and Korn (2018); extended to sea ice in Mehlmann \& Korn (2021).

•  Korn, P. (2026), (in review), sole author. Non-hydrostatic dynamics at essentially hydrostatic cost

• Korn, P. (2026),  accepted at Commun. Appl. Math. Comput. Sci. - sole author. A no-go theorem for the discrete compressible barotropic Navier--Stokes equations, and its resolution.

• Korn, P. \& Titi, E. S. (2024), SIAM J. Math. Anal. , well-posedness of the equations ocean climate models actually solve

• Korn, P. (2021), J. Math. Fluid Mech. - sole author. Well-posedness of the ocean primitive equations with nonlinear

• thermodynamics: the analysis extended to realistic seawater.

• Crisan, D., Holm, D. D. \& Korn, P. (2023), Nonlinearity, Hasselmann's stochastic climate paradigm made rigorous via stochastic Lie transport.

• Korn, P. et al.\ (2022), J. Adv. Model. Earth Syst. - first, author, 15 co-authors. ICON-O validated as a global model; introduces telescoping, 

• Hohenegger, C., Korn, P. et al.\ (2023), Geosci. Model Dev.

• - ICON-Sapphire, the coupled Earth system at kilometre and

• subkilometre scales.

• Epke, M., Korn, P. et al.\ (2026), J. Phys. Oceanogr. - the

• science payoff: submesoscale overturning resolved inside the global

• circulation, validated against SWOT.

• \item Linardakis, L., Korn, P. et al.\ (2022), \emph{Geosci. Model Dev.}

• - component concurrency that made marine biogeochemistry affordable

• at kilometre scale; HPC design, not porting.

• \end{publist}

•  

• \newpage

• % ---------- publications ---------------------------------------------

• \section{Selected Publications}

• \sectionnote{Grouped by topic.}

• %%Full list at

• %%\href{https://peterkorn.org}{peterkorn.org}.}

•  

• \subsection*{Ocean model formulation and numerics}

• \begin{publist}

• \item Korn, P. (2017). Formulation of an unstructured grid model for global

• ocean dynamics. \emph{J. Comput. Phys.} 339, 525--552. \emph{Sole author.}

• \item Korn, P. \& Danilov, S. (2017). Elementary dispersion analysis of some

• mimetic discretizations on triangular C-grids. \emph{J. Comput. Phys.}

• 330, 156--172.

• \item Korn, P. \& Linardakis, L. (2018). A conservative discretization of the

• shallow-water equations on triangular grids. \emph{J. Comput. Phys.}

• 375, 871--900.

• \item Korn, P. (2018). A structure-preserving discretization of ocean

• parametrizations on unstructured grids. \emph{Ocean Modelling} 132, 73--90.

• \item Mehlmann, C. \& Korn, P. (2021). Sea-ice on triangular grids.

• \emph{J. Comput. Phys.} 428, 110086.

• \end{publist}

•  

• \subsection*{Mathematical analysis}

• \begin{publist}[resume]

• \item Korn, P. (2026). A no-go theorem and its resolution for the discrete

• compressible barotropic Navier--Stokes equations. \emph{Commun. Appl.

• Math. Comput. Sci.}, accepted. Sole author.

• \item Korn, P. \& Titi, E. S. (2024). Global well-posedness of the primitive

• equations of large-scale ocean dynamics with the

• Gent--McWilliams--Redi eddy parametrization model. \emph{SIAM J. Math.

• Anal.} 56(6), 8011--8036.

• \item Crisan, D., Holm, D. D. \& Korn, P. (2023). An implementation of

• Hasselmann's paradigm for stochastic climate modelling based on

• stochastic Lie transport. \emph{Nonlinearity} 36(9), 4862.

• \item Korn, P. (2021). Global well-posedness of the ocean primitive

• equations with nonlinear thermodynamics. \emph{J. Math. Fluid Mech.}

• 23, 71.

• \item Korn, P. (2021). Strong solvability of a variational data assimilation

• problem for the primitive equations of large-scale atmosphere and

• ocean dynamics. \emph{J. Nonlinear Sci.} 31, 56.

• \item Korn, P. (2009). Data assimilation for the Navier--Stokes-$\alpha$

• equations. \emph{Physica D} 238, 1957--1974.

• \end{publist}

•  

• \subsection*{Earth system model development and high-performance computing}

• \begin{publist}[resume]

• \item Korn, P., Brüggemann, N., Jungclaus, J. H., Lorenz, S. J., Gutjahr, O.,

• Haak, H., Linardakis, L., Mehlmann, C., Mikolajewicz, U., Notz, D.,

• Putrasahan, D. A., Singh, V., von Storch, J.-S., Zhu, X. \& Marotzke, J.

• (2022). ICON-O: the ocean component of the ICON Earth System Model -

• global simulation characteristics and local telescoping capability.

• \emph{J. Adv. Model. Earth Syst.} 14(10). \emph{First author, 15 co-authors.}

• \item Hohenegger, C., Korn, P., Linardakis, L., Redler, R. et al.\ (2023).

• ICON-Sapphire: simulating the components of the Earth system and their

• interactions at kilometer and subkilometer scales. \emph{Geosci. Model Dev.}

• 16(2), 779--811.

• \item Müller, W. A., Korn, P. et al.\ (2025). The ICON-based Earth System

• Model for climate predictions and projections (ICON XPP v1.0).

• \emph{Geosci. Model Dev.} 18, 9385--9415.

• \item Linardakis, L., Stemmler, I., Hanke, M., Ramme, L., Chegini, F.,

• Ilyina, T. \& Korn, P. (2022). Improving scalability of Earth system

• models through coarse-grained component concurrency. \emph{Geosci.

• Model Dev.} 15, 9157--9176.

• \item Mehlmann, C., Danilov, S., Losch, M., Lemieux, J. F., Hutter, N.,

• Richter, T., Blain, P., Hunke, E. C. \& Korn, P. (2021). Simulating

• linear kinematic features in viscous-plastic sea-ice models on

• quadrilateral and triangular grids. \emph{J. Adv. Model. Earth Syst.} 13.

• \end{publist}

•  

• \subsection*{Ocean and climate science}

• \begin{publist}[resume]

• \item Epke, M., Linardakis, L., Korn, P. \& Brüggemann, N. (2026).

• Overturning of mixed layer eddies in a submesoscale-resolving

• simulation of the North Atlantic. \emph{J. Phys. Oceanogr.} 56,

• 1437--1468. Submesoscale-resolving telescoping inside the global

• circulation, validated against SWOT.

• \item Leimann, I., Epke, M., Dräger-Dietel, J., Griesel, A., Walter, M.,

• Linardakis, L., Korn, P. \& Brüggemann, N. (2026). Diagnosing kinetic

• energy scaling using Lagrangian and Eulerian metrics in different

• dynamical regimes of the North Atlantic. \emph{J. Geophys. Res. Oceans}

• 131, e2025JC023666.

• \item Brüggemann, N., Losch, M., Scholz, P., Pollmann, F., Danilov, S.,

• Gutjahr, O., Jungclaus, J., Koldunov, N., Korn, P., Olbers, D. \&

• Eden, C. (2024). Parameterized internal wave mixing in three ocean

• general circulation models. \emph{J. Adv. Model. Earth Syst.} 16(6).

• \item Mathis, M., Logemann, K., Lacroix, F., Hagemann, S., Chegini, F.,

• Ramme, L., Ilyina, T., Korn, P. \& Schrum, C. (2022). Seamless

• integration of the coastal ocean in global marine carbon cycle

• modeling. \emph{J. Adv. Model. Earth Syst.} 14(8).

• \end{publist}

•  

• \subsection*{Machine learning for geophysical flows}

• \begin{publist}[resume]

• \item Lapolli, F., Witte, M., Kadow, C. \& Korn, P. (2026). Learning

• depth-aware neural corrections for baroclinic instability in a

• mesoscale-resolving ocean model. Accepted at \emph{Mach. Learn.:

• Earth}.

• \item Witte, M., Lapolli, F. R., Freese, P., Götschel, S., Ruprecht, D.,

• Korn, P. \& Kadow, C. (2025). Dynamic deep learning based

• super-resolution for the shallow water equations. \emph{Mach.

• Learn.: Sci. Technol.} 6(1), 015060.

• \end{publist}

•  

• \subsection*{Preprints and manuscripts under review}

• \begin{publist}[resume]

• \item Korn, P. (2026). Foundations of global ocean climate modelling at

• all scales. In review at \emph{J. Adv. Model. Earth Syst.};

• arXiv:2608.25679. \emph{Sole author.} The AC/DC method:

• non-hydrostatic dynamics at essentially hydrostatic cost.

• \item Zobel, D., Brüggemann, N., Haak, H., Linardakis, L. \& Korn, P. (2026).

• GPU porting of the ICON ocean model: performance and possibilities for

• submesoscale climate simulations. \emph{J. Adv. Model. Earth Syst.}, in review.

• \end{publist}