5 papers
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.…
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…
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…
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…