Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analytically divergence-free collocation method for the
  incompressible Navier-Stokes equations on the rotating sphere   In this work, we develop a high-order collocation method using radial basis
function (RBF) for the incompressible Navier-Stokes equation (NSE) on the
rotating sphere. The method is based on solving the projection of the NSE on
the space of divergence-free functions. For that, we use matrix valued kernel
functions which allow an analytically divergence-free approximation of the
velocity field. Using kernel functions which lead to rotation-free
approximations, the pressure can be recovered by a simple kernel exchange in
one of the occurring approximations, without solving an additional Poisson
problem. We establish precise error estimates for the velocity and the pressure
functions for the semi-discretised solution. In the end, we give a short
estimate of the numerical cost and apply the new method to an experimental test
case.

0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph