Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational integrator for the rotating shallow-water equations on the
  sphere   We develop a variational integrator for the shallow-water equations on a
rotating sphere. The variational integrator is built around a discretization of
the continuous Euler-Poincar\'{e} reduction framework for Eulerian
hydrodynamics. We describe the discretization of the continuous
Euler-Poincar\'{e} equations on arbitrary simplicial meshes. Standard numerical
tests are carried out to verify the accuracy and the excellent conservational
properties of the discrete variational integrator.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph