52 citations · 114 across the 12 of their papers we have counts for
12 papers
Analysis of a Surface Crouzeix-Raviart Element for the Stokes Problem
Manisha Chowdhury, Carolin Mehlmann
Recently, increasing attention has been paid to finite element discretizations of vector-valued flow problems posed on curved surfaces. In this work, we study a surface Stokes syst…
Analysis and numerical simulations of a landfast ice model
Felix Brandt, Carolin Mehlmann
In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate model…
A Scalable Monolithic Modified Newton Multigrid Framework for Time-Dependent -Navier-Stokes Flow
Nils Margenberg, Carolin Mehlmann
Fully implicit tensor-product space-time discretizations of time-dependent -Navier-Stokes models yield, on each time step, large nonlinear monolithic saddle-point systems. I…
A Hybrid Neural Network-Finite Element Method for the Viscous-Plastic Sea-Ice Model
Nils Margenberg, Carolin Mehlmann
We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations…
A Hybrid Particle-Continuum Method for Simulating Fast Ice via Subgrid Iceberg Interaction
Carolin Mehlmann, Saskia Kahl
A significant fraction (4%-13%) of Antarctic sea ice remains stationary as landfast sea-ice ("fast ice"), typically anchored by grounded icebergs. Current global climate models do…
Analysis of the Crouzeix-Raviart Surface Finite Element Method for vector-valued Laplacians
Carolin Mehlmann
Recently, a nonconforming surface finite element was developed to discretize 3d vector-valued compressible flow problems arising in climate modeling. In this contribution we derive…
Simulating sea-ice deformation in viscous-plastic sea-ice models with CD-grids
C. Mehlmann, G. Capodaglio, S. Danilov
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…
Robust and efficient primal-dual Newton-Krylov solvers for viscous-plastic sea-ice models
Yu-hsuan Shih, Carolin Mehlmann, Martin Losch +1
We present a Newton-Krylov solver for a viscous-plastic sea-ice model. This constitutive relation is commonly used in climate models to describe the material properties of sea ice.…
On discretizing sea-ice dynamics on triangular meshes using vertex, cell or edge velocities
S. Danilov, C. Mehlmann, V. Fofonova
Discretization of the equations of Viscous Plastic and Elastic Viscous Plastic (EVP) sea ice dynamics on triangular meshes can be done by placing discrete velocities at vertices, c…
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 goal oriented error estimator and mesh adaptivity for sea ice simulations
Carolin Mehlmann, Thomas Richter
For the first time we introduce an error estimator for the numerical approximation of the equations describing the dynamics of sea ice. The idea of the estimator is to identify dif…