Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An unstructured C-grid type variational formulation for the sea ice
  dynamics   Historically, B-grid formulations of sea ice dynamics have been dominant
because they have matched the grid type used by ocean models. The reason for
the grid match is simple - it facilitates penetration of the curl of ice-ocean
stress into the deep ocean with minimal numerical diffusivity because sea ice
and ocean velocity are co-located. In recent years, as ocean models have
increasingly progressed to C-grids, sea ice models have followed suit on
quadrilateral meshes, but few if any implementations of unstructured C-grid sea
ice models have been developed. We present an unstructured C-grid formulation
of the elastic-viscous-plastic rheology, where the velocity unknowns are
located at the edges rather than at the vertices, as in the B-grid. The mesh
cells in our analysis have $n$ sides, with $n$ greater than or equal to four.
Numerical results are also included to investigate the features of the proposed
method. Our framework of choice is the Model for Prediction Across Scales
(MPAS) within E3SM, the climate model of the U.S. Department of Energy,
although our approach is general and could be applied to other models as well.
While MPAS-Seaice is currently defined on a B-grid, MPAS-Ocean runs on a
C-grid, hence interpolation operators are heavily used when coupled simulations
are performed. The discretization introduced here aims at transitioning the
dynamics of MPAS-Seaice to a C-grid, in order to ultimately facilitate the
coupling with MPAS-Ocean and reduce numerical errors associated with this
communication.

33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess