Publikationen
Articles submitted to journals
| O. Gutjahr and C. Mehlmann: Polar lows and their effects on sea ice and the upper ocean in the iceland, greenland and labrador seas. submitted, 2023. [ bib | https ] |
| S. Kahl, C. Mehlmann, and D. Notz: Modelling ice mélange based on the viscous-plastic sea-ice rheology. submitted, 2023:1--14, 2023. [ bib | DOI | https ] |
| C. Mehlmann: Analysis of a nonconforming finite element method for vector-valued laplacians on the surface. submitted, 2023. [ bib ] |
Articles published in journals
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Danilov, S., Mehlmann, C., Sidorenko, D., and Wang, Q.: CD-type discretization for sea ice dynamics in FESOM version 2, Geosci. Model ,https://doi.org/10.5194/gmd-2023-37, 2024. |
| C. Mehlmann: Surface Crouzeix-Raviart element for the Bochner Laplacian equation, Proceedings in Applied Mathematics and Mechanics, 23, e202300207, 2023 https://doi.org/10.1002/pamm.202300207 |
| Yu hsuan Shih, Carolin Mehlmann, Martin Losch, and Georg Stadler: Robust and efficient primal-dual newton-krylov solvers for viscous-plastic sea-ice models. Journal of Computational Physics, 474:111802, feb 2023. [ bib | DOI ] |
| C. Mehlmann, G. Capodaglio, and S. Danilov: Simulating sea-ice deformation in viscous-plastic sea-ice models with cd-grids. Journal of Advances in Modeling Earth Systems, 15(8):e2023MS003696, 2023. [ bib | DOI ] |
| Cathy Hohenegger, Peter Korn, Leonidas Linardakis, René Redler, Reiner Schnur, Panagiotis Adamidis, Jiawei Bao, Swantje Bastin, Milad Behravesh, Martin Bergemann, Joachim Biercamp, Hendryk Bockelmann, Renate Brokopf, Nils Brüggemann, Lucas Casaroli, Fatemeh Chegini, George Datseris, Monika Esch, Geet George, Marco Giorgetta, Oliver Gutjahr, Helmuth Haak, Moritz Hanke, Tatiana Ilyina, Thomas Jahns, Johann Jungclaus, Marcel Kern, Daniel Klocke, Lukas Kluft, Tobias Kölling, Luis Kornblueh, Sergey Kosukhin, Clarissa Kroll, Junhong Lee, Thorsten Mauritsen, Carolin Mehlmann, Theresa Mieslinger, Ann Kristin Naumann, Laura Paccini, Angel Peinado, Divya Sri Praturi, Dian Putrasahan, Sebastian Rast, Thomas Riddick, Niklas Roeber, Hauke Schmidt, Uwe Schulzweida, Florian Schütte, Hans Segura, Radomyra Shevchenko, Vikram Singh, Mia Specht, Claudia Christine Stephan, Jin-Song von Storch, Raphaela Vogel, Christian Wengel, Marius Winkler, Florian Ziemen, Jochem Marotzke, and Bjorn Stevens: ICON-sapphire: simulating the components of the earth system and their interactions at kilometer and subkilometer scales. Geoscientific Model Development, 16(2):779--811, 2023. [ bib | DOI ] |
| Carolin Mehlmann and Oliver Gutjahr: Discretization of sea ice dynamics in the tangent plane to the sphere by a CD-grid-type finite element. Journal of Advances in Modeling Earth Systems, nov 2022. [ bib | DOI ] |
| 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, and J. Marotzke: ICON-o: The ocean component of the ICON earth system model - global simulation characteristics and local telescoping capability. Journal of Advances in Modeling Earth Systems, 2022. accepted. [ bib | DOI ] |
| J. H. Jungclaus, S. J. Lorenz, H. Schmidt, V. Brovkin, N. Brüggemann, F. Chegini, T. Crüger, 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. Müller, 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. Storch, F. Wachsmann, K.-H. Wieners, F. Ziemen, B. Stevens, J. Marotzke, and M. Claussen: The ICON earth system model version 1.0. Journal of Advances in Modeling Earth Systems, 14(4), 2022. [ bib | DOI ] |
| S. Danilov, C. Mehlmann, and V. Fofonova: On discretizing sea-ice dynamics on triangular meshes using vertex, cell or edge velocities. Ocean Modelling, 170:101937, 2022. [ bib | DOI ] |
| Carolin Mehlmann and Peter Korn: Sea-ice dynamics on triangular grids. Journal of Computational Physics, 428:110086, 2021. [ bib | DOI ] |
| C. Mehlmann, S. Danilov, M. Losch, J.F. Lemieux, N. Hutter, T. Richter, P. Blain, E.C. Hunke, and P Korn: Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids. Journal of Advances in Modeling Earth Systems, 2021. accepted. [ bib | DOI | arXiv ] |
| C. Mehlmann and T. Richter: A goal oriented error estimator and mesh adaptivity for sea ice simulations. Ocean Modeling, 154(101684), 2020. [ bib | DOI ] |
| C. Mehlmann and T. Richter: A modified global newton solver for viscous-plastic sea ice models. Ocean Modeling, 116:96--107, 2017. [ bib | DOI | .pdf ] |
| C. Mehlmann and T. Richter: A finite element multigrid-framework for discretizing sea ice dynamics. Journal of Computational Physics, 348:847--861, 2017. [ bib | DOI ] |
Proceedings, Software and other publications
| C. Mehlmann: The effect of the tracer staggering on sea ice deformation fields. In 8th European Congress on Computational Methods in Applied Sciences and Engineering. CIMNE, 2022. [ bib | DOI ] |
| Carolin Mehlmann: Sea ice dynamics in icon-o - numerical evaluation, 2022. [ bib | DOI ] |
| Carolin Mehlmann, Sergey Danilov, Martin Losch, Jean-Francois Lemieux, Nils Hutter, Thomas Richter, Philippe Blain, Elizabeth Clare Hunke, and Peter Korn: Sea ice numerical vp-comparison benchmark, 2021. [ bib | DOI ] |
| C. Mehlmann: Finite elements and sea ice dynamics. In Giga Yoshikazu, Hieber Matthias, Korn Peter, and Titi Edriss, editors, Mathematical Advances in Geophysical Fluid Dynamics. Mathematisches Forschungsinstitut Oberwolfach, 2020. [ bib | DOI ] |
| T. Richter and C. Mehlmann: An accelerated newton method for nonlinear materials in structure mechanics and fluid mechanics. In Numerical Mathematics and Advanced Applications - Enumath 2017, volume 126 of Lecture Notes in Computational Science and Engineering, pages 345--353. Springer, 2018. [ bib | DOI | .pdf ] |
| Ehlke de Jong, Marcello Vichi, Carolin Birgitta Mehlmann, Clare Eayrs, Wade De Kock, Marcel Moldenhauer, and Riesna Reuben Audh: Sea ice conditions within the antarctic marginal ice zone in winter 2017, onboard the sa agulhas ii. [ bib | DOI ] |
Thesis
| Carolin Mehlmann: Efficient numerical methods to solve the viscous-plastic sea ice model at high spatial resolutions. PhD thesis, Otto-von-Guericke Unviersity Magdeburg, 2019. [ bib | DOI ] |
Poster