Publications

In Preparation

[P1] P. Korn, N. Brüggemann, O. Gutjahr, H. Haak, L. Ramme, V. Singh, A Conservative Ocean-Sea-Ice Model including Phase Transitions
[P2] N. Brüggemann, P. Korn, L. Linardakis, On the local representation of submesocale dynamics in a global ocean model through a telescoping approach
[P3] P. Korn, L. Linardakis, W. Pan, A Data-Driven Stochastic Shallow-Water Modell for Geophysical Flows
[P4] Book: P. Korn, The Equations of Ocean Dynamics - Analysis, Numerics and Simulations

In Review

[R1] P. Korn, Discrete Euler Flows - Integral Invariants and Singular Limits
[R2] W.A. Müller, B. Früh, P. Korn, R. Potthast, et al. ICON-Seamless: Towards an integrated model for numerical weather forecasts, climate predictions and projections (in review Bull. Am. Met. Soc)

Accepted

[35] M. Witte, F. R. Lapolli, P. Freese, S. Götschel, D. Ruprecht, P. Korn, C.Kadow, Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations, (to appear in Machine Learning: Science and Technology)
[34] P. Korn, E.S. Titi, Global Well-Posedness of the Gent-McWilliams-Redi Eddy Parametrization Model for Large-Scale Ocean Dynamics (to appear in SIAM J. Math. Analysis)
[33] N. Brüggemann, M. Losch, P. Scholz, F. Pollmann, S. Danilov, O. Gutjahr, J. Jungclaus, N. Koldunov, P. Korn, D. Olbers, C. Eden, Parameterized internal wave mixing in three ocean general circulation models, Journal of Advances in Modelling Earth Systems 16(6), (2024),
https://doi.org/10.1029/2023MS003768
[32] F. Lapolli, P. Peixoto, P. Korn, Accuracy and stability analysis of horizontal discretizations used in unstructured grid ocean models (to appear in Ocean Modeling)
[31] D. Crisan, D. Holm, P. Korn, An Implementation of Hasselmann’s Paradigm for Stochastic Climate Modelling based on Stochastic Lie Transport, Nonlinearity(2023)
[30] J.-S. v Storch, E. Hertig, V. Lüschow, N. Brüggemann, H. Haak, P. Korn, V. Singh, Open-ocean tides simulated by ICON-O, version icon-2.6.6, Geosci. Model Dev., 16, 5179–5196, 2023, https://doi.org/10.5194/gmd-16-5179-2023
[29] C. Hohenegger, P. Korn, et al, ICON-Sapphire: simulating the components of the Earth System and their interactions at kilometer and subkilometer scales, (accepted, Geophysical Model Development, https://doi.org/10.5194/gmd-2022-171)
[28] L. Linardakis1, I. Stemmler, M. Hanke, L. Ramme1, F. Chegini, T. Ilyina, P. Korn, Improving scalability of Earth System Models through coarse-grained component concurrency – a case study with the ICON v2.6.5 modeling system, Geosci. Model Dev., 15, 9157–9176, 2022, https://doi.org/10.5194/gmd-15-9157-2022
[27] P. Korn, N. Brüggemann, J.H. Jungclaus, S.J. Lorenz, O. Gutjahr, H. Haak, L. Linardakis, C. Mehlmann, U. Mikolajewicz, D. Notz, D.A. Putrasahan, V. Singh, J.-S. von Storch, X. Zhu, J. Marotzke, ICON-O: The Ocean Component of the ICON Earth System Model - Global Simulation Characteristics and Local Telescoping Capability (Journal of Advances in Modelling Earth Systems, online version available https://doi.org/10.1029/2021MS002952)
26] M. Mathis, K. Logemann, F. Lacroix, S. Hagemann, F. Chegini, L. Ramme, T. Ilyina, P. Korn, C. Schrum, Seamless integration of the coastal ocean in global marine carbon cycle modeling, Journal of Advances in Modelling Earth Systems, online version available https://doi.org/10.1029/2021MS002789)
[25] J.H. Jungclaus , S.J. Lorenz , H. Schmidt , V. Brovkin, N. Bruggemann, F. Chegini, T. Crueger, P. De-Vrese, V. Gayler, M.A. Giorgetta, O. Gutjahr, H. Haak, S. Hagemann, M. Hanke, T. Ilyina, P. Korn, J. Kröger, L. Linardakis, C. Mehlmann, U. Mikolajewicz, W.A. Muller, J.E.M.S Nabel, D. Notz, H. Pohlmann, D.A. Putrasahan, T. Raddatz, L. Ramme, R. Redler, C.H. Reick, T. Riddick, T. Sam, R. Schneck, R. Schnur, M. Schupfner, J.-S. von Storch, F. Wachsmann, K.-H. Wieners, F. Ziemen, B. Stevens, J. Marotzke, M. Claussen, The ICON Earth System Model Version 1.0, Journal of Advances in Modelling Earth Systems 14, (2022). doi.org/10.1029/2021MS002813
[24] P. Korn, Strong Solvability of a Variational Data Assimilation Problem for the Primitive Equations of Large-Scale Atmosphere and Ocean Dynamics, Journal of Nonlinear Science, 31, 56 (2021). https://doi.org/10.1007/s00332-021-09707-3
[23] P. Korn, Global Well-Posedness of the Ocean Primitive Equations with Nonlinear Thermodynamics, Journal of Mathematical Fluid Mechanics, 23: 71 (2021). doi:10.1007/s00021-021-00596-w
[22] C. Mehlmann, S. Danilov, M. Losch, J. F. Lemieux, N. Hutter, T. Richter, P. Blain, E. C. Hunke, P. Korn, Simulating Linear Kinematic Features in Viscous-Plastic Sea Ice Models on Quadrilateral and Triangular Grids With Different Variable Staggering, Journal of Advances in Modelling Earth Systems, 13, (2021). doi:10.1029/2021MS002523
[21] C. Mehlmann, P. Korn, Sea-ice on triangular grids, Journal of Computational Physics 428, (2021). doi.org/10.1016/j.jcp.2020.110086
[20] K. Logemann, L. Linardakis, P.Korn, C.Schrum, Global tide simulations with ICON-O: testing the model performance on highly irregular meshes, Ocean Dynamics 71, 43–57 (2020). doi:10.1007/s10236-020-01428-7
19] P. Korn, Structure-Preserving Discretizations of Ocean Equations on Unstructured Grids, Habilitation, (2019) Department of Mathematics, University Hamburg
[18] P. Korn, A Structure Preserving Discretization of Ocean Parametrizations on Unstructured Grids, Ocean Modelling 132, 73-90, (2018). doi:10.1016/j.ocemod.2018.10.002
[17] P. Korn, A Regularity-Aware Algorithm for Variational Data Assimilation of an Idealized Coupled Atmosphere-Ocean Model, Journal of Scientific Computing 79, 748-786 (2018). doi:10.1007/s10915-018-0871-y
[16] P. Korn, L. Linardakis, A conservative discretization of the shallow-water equations on triangular grids, Journal of Computational Physics 375, 871-900, (2018). doi:10.1016/j.jcp.2018.09.002
[15] P. Korn, Formulation of an Unstructured Grid Model for Global Ocean Dynamics, Journal of Computational Physics 339, 525-552, (2017). doi:10.1016/j.jcp.2017.03.009
[14] P. Korn, S. Danilov, Elementary dispersion analysis of some mimetic discretizations on triangular C-grids, Journal of Computational Physics 330, 156-172 (2017). doi:10.1016/j.jcp.2016.10.059
[13] J. Ackmann, J. Marotzke, P. Korn, Stochastic Goal-oriented Error Estimation with Memory, Journal of Computational Physics 348 (2017), 195-219 (2017). doi:10.1016/j.jcp.2017.07.009
[12] V. Aizinger, P. Korn, M. Giorgetta, S. Reich, Large-scale turbulence modelling via alpha-regularisation for atmospheric simulations, Journal of Turbulence 16, 367-391 (2015). doi:10.1080/14685248.2014.991443
[11] F. Rauser, J. Marotzke, P. Korn, Ensemble-type numerical uncertainty quantification from single model integrations, Journal of Computational Physics 292, 30-42 (2015). doi:10.1016/j.jcp.2015.02.043
[10] A. Vlasenko, P. Korn, J. Riehme, U. Naumann, Estimation of data assimilation error: a shallow-water model study, Monthly Weather Review 142, 2502-2520, (2014). doi:10.1175/MWR-D-13-00205.1
[9] P. Düben, P. Korn, Atmosphere & ocean modeling on grids of variable resolution - A 2D case study, Monthly Weather Review, 142, 1997-2017, (2014). doi.org/10.1175/MWR-D-13-00217.1
[8] P. Düben, P. Korn, V. Aizinger, A Discontinuous/Continuous Low order finite element shallow water model on the sphere, Journal of Computational Physics 231, 2396-2413, (2012). doi.org/10.1016/j.jcp.2011.11.018
[7] P. Korn, On Degrees of Freedom of Certain Conservative Turbulence Models for the Navier-Stokes-Equations, Journal of Mathematical Analysis Applications 378, 49-63 (2011). doi.org/10.1016/j.jmaa.2011.01.013
[6] F. Rauser, P. Korn, J. Marotzke, Predicting goal error evolution from near-initial-information: A learning algorithm, Journal of Computational Physics 230, 7284-7299 (2011). doi.org/10.1016/j.jcp.2011.05.029
[5] F. Rauser, J. Riehme, U. Naumann, P. Korn, K. Leppke, On the use of discrete adjoints in goal error estimation for shallow-water equations, Procedia Computer Science, 1,1 (2010). doi:10.1016/j.procs.2010.04.013
[4] P. Korn, Data Assimilation for the Navier-Stokes-α equations, Physica D 238, 1957-1974 (2009). doi.org/10.1016/j.physd.2009.07.008
[3] P. Ripodas, A. Gassmann, J. Foerstner, D. Majewski, M. Giorgetta, P. Korn, L. Kornblueh, H. Wan, G. Zängl, L. Bonaventura, T. Heinze, Icosahedral Shallow Water Model (ICOSWM): results of shallow water test cases and sensitivity to model parameters, Geoscientific Model Development 2, 231–251, (2009). doi.org/10.5194/gmd-2-231-2009
[2] P. Korn, Bounds on essential support and entropy of Weyl-Heisenberg frames at critical density, Applied and Computational Harmonic Analysis 18, 207-214, (2005). doi.org/10.1016/j.acha.2004.11.003
[1] P. Korn, Some Uncertainty Principles for Time-Frequency Transforms of the Cohen Class, IEEE Trans. Sig. Proc. 53, 523-527, (2005). doi.org/10.1109/TSP.2004.840738

Publications

In Preparation

​​

In Review

Accepted

​​​

[35] M. Witte, F. R. Lapolli, P. Freese, S. Götschel, D. Ruprecht, P. Korn, C.Kadow, Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations, (to appear in Machine Learning: Science and Technology)

[34] P. Korn, E.S. Titi, Global Well-Posedness of the Gent-McWilliams-Redi Eddy Parametrization Model for Large-Scale Ocean Dynamics (to appear in SIAM J. Math. Analysis)

[33] N. Brüggemann, M. Losch, P. Scholz, F. Pollmann, S. Danilov, O. Gutjahr, J. Jungclaus, N. Koldunov, P. Korn, D. Olbers, C. Eden, Parameterized internal wave mixing in three ocean general circulation models, Journal of Advances in Modelling Earth Systems 16(6), (2024),

[32] F. Lapolli, P. Peixoto, P. Korn, Accuracy and stability analysis of horizontal discretizations used in unstructured grid ocean models (to appear in Ocean Modeling)

[31] D. Crisan, D. Holm, P. Korn, An Implementation of Hasselmann’s Paradigm for Stochastic Climate Modelling based on Stochastic Lie Transport, Nonlinearity(2023)

[30] J.-S. v Storch, E. Hertig, V. Lüschow, N. Brüggemann, H. Haak, P. Korn, V. Singh, Open-ocean tides simulated by ICON-O, version icon-2.6.6, Geosci. Model Dev., 16, 5179–5196, 2023, https://doi.org/10.5194/gmd-16-5179-2023

[29] C. Hohenegger, P. Korn, et al, ICON-Sapphire: simulating the components of the Earth System and their interactions at kilometer and subkilometer scales, (accepted, Geophysical Model Development, https://doi.org/10.5194/gmd-2022-171)

26] M. Mathis, K. Logemann, F. Lacroix, S. Hagemann, F. Chegini, L. Ramme, T. Ilyina, P. Korn, C. Schrum, Seamless integration of the coastal ocean in global marine carbon cycle modeling, Journal of Advances in Modelling Earth Systems, online version available https://doi.org/10.1029/2021MS002789)

[24] P. Korn, Strong Solvability of a Variational Data Assimilation Problem for the Primitive Equations of Large-Scale Atmosphere and Ocean Dynamics, Journal of Nonlinear Science, 31, 56 (2021). https://doi.org/10.1007/s00332-021-09707-3

[23] P. Korn, Global Well-Posedness of the Ocean Primitive Equations with Nonlinear Thermodynamics, Journal of Mathematical Fluid Mechanics, 23: 71 (2021). doi:10.1007/s00021-021-00596-w

[21] C. Mehlmann, P. Korn, Sea-ice on triangular grids, Journal of Computational Physics 428, (2021). doi.org/10.1016/j.jcp.2020.110086

[20] K. Logemann, L. Linardakis, P.Korn, C.Schrum, Global tide simulations with ICON-O: testing the model performance on highly irregular meshes, Ocean Dynamics 71, 43–57 (2020). doi:10.1007/s10236-020-01428-7

19] P. Korn, Structure-Preserving Discretizations of Ocean Equations on Unstructured Grids, Habilitation, (2019) Department of Mathematics, University Hamburg

[18] P. Korn, A Structure Preserving Discretization of Ocean Parametrizations on Unstructured Grids, Ocean Modelling 132, 73-90, (2018). doi:10.1016/j.ocemod.2018.10.002

[17] P. Korn, A Regularity-Aware Algorithm for Variational Data Assimilation of an Idealized Coupled Atmosphere-Ocean Model, Journal of Scientific Computing 79, 748-786 (2018). doi:10.1007/s10915-018-0871-y

[16] P. Korn, L. Linardakis, A conservative discretization of the shallow-water equations on triangular grids, Journal of Computational Physics 375, 871-900, (2018). doi:10.1016/j.jcp.2018.09.002

[15] P. Korn, Formulation of an Unstructured Grid Model for Global Ocean Dynamics, Journal of Computational Physics 339, 525-552, (2017). doi:10.1016/j.jcp.2017.03.009

[14] P. Korn, S. Danilov, Elementary dispersion analysis of some mimetic discretizations on triangular C-grids, Journal of Computational Physics 330, 156-172 (2017). doi:10.1016/j.jcp.2016.10.059

[13] J. Ackmann, J. Marotzke, P. Korn, Stochastic Goal-oriented Error Estimation with Memory, Journal of Computational Physics 348 (2017), 195-219 (2017). doi:10.1016/j.jcp.2017.07.009

[12] V. Aizinger, P. Korn, M. Giorgetta, S. Reich, Large-scale turbulence modelling via alpha-regularisation for atmospheric simulations, Journal of Turbulence 16, 367-391 (2015). doi:10.1080/14685248.2014.991443

[11] F. Rauser, J. Marotzke, P. Korn, Ensemble-type numerical uncertainty quantification from single model integrations, Journal of Computational Physics 292, 30-42 (2015). doi:10.1016/j.jcp.2015.02.043

[10] A. Vlasenko, P. Korn, J. Riehme, U. Naumann, Estimation of data assimilation error: a shallow-water model study, Monthly Weather Review 142, 2502-2520, (2014). doi:10.1175/MWR-D-13-00205.1

[9] P. Düben, P. Korn, Atmosphere & ocean modeling on grids of variable resolution - A 2D case study, Monthly Weather Review, 142, 1997-2017, (2014). doi.org/10.1175/MWR-D-13-00217.1

[8] P. Düben, P. Korn, V. Aizinger, A Discontinuous/Continuous Low order finite element shallow water model on the sphere, Journal of Computational Physics 231, 2396-2413, (2012). doi.org/10.1016/j.jcp.2011.11.018

[7] P. Korn, On Degrees of Freedom of Certain Conservative Turbulence Models for the Navier-Stokes-Equations, Journal of Mathematical Analysis Applications 378, 49-63 (2011). doi.org/10.1016/j.jmaa.2011.01.013

[6] F. Rauser, P. Korn, J. Marotzke, Predicting goal error evolution from near-initial-information: A learning algorithm, Journal of Computational Physics 230, 7284-7299 (2011). doi.org/10.1016/j.jcp.2011.05.029

[5] F. Rauser, J. Riehme, U. Naumann, P. Korn, K. Leppke, On the use of discrete adjoints in goal error estimation for shallow-water equations, Procedia Computer Science, 1,1 (2010). doi:10.1016/j.procs.2010.04.013

[4] P. Korn, Data Assimilation for the Navier-Stokes-α equations, Physica D 238, 1957-1974 (2009). doi.org/10.1016/j.physd.2009.07.008

[2] P. Korn, Bounds on essential support and entropy of Weyl-Heisenberg frames at critical density, Applied and Computational Harmonic Analysis 18, 207-214, (2005). doi.org/10.1016/j.acha.2004.11.003

[1] P. Korn, Some Uncertainty Principles for Time-Frequency Transforms of the Cohen Class, IEEE Trans. Sig. Proc. 53, 523-527, (2005). doi.org/10.1109/TSP.2004.840738