Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A state redistribution algorithm for finite volume schemes on cut cell
  meshes   In this paper we develop a new technique, called \textit{state
redistribution}, that allows the use of explicit time stepping when
approximating solutions to hyperbolic conservation laws on embedded boundary
grids. State redistribution is a postprocessing technique applied after each
time step or stage of the base finite volume scheme, using a time step that is
proportional to the volume of the full cells. The idea is to stabilize the cut
cells by temporarily merging them into larger, possibly overlapping
neighborhoods, then replacing the cut cell values with a stabilized value that
maintains conservation and accuracy. We present examples of state
redistribution using two base schemes: MUSCL and a second order Method of Lines
finite volume scheme. State redistribution is used to compute solutions to
several standard test problems in gas dynamics on cut cell meshes, with both
smooth and discontinuous solutions. We show that our method does not reduce the
accuracy of the base scheme and that it successfully captures shocks in a
non-oscillatory manner.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat