Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A totally Eulerian Finite Volume solver for multi-material fluid flows:
  Enhanced Natural Interface Positioning (ENIP)   This work concerns the simulation of compressible multi-material fluid flows
and follows the method FVCF-NIP described in the former paper Braeunig et al
(Eur. J. Mech. B/Fluids, 2009). This Cell-centered Finite Volume method is
totally Eulerian since the mesh is not moving and a sharp interface, separating
two materials, evolves through the grid. A sliding boundary condition is
enforced at the interface and mass, momentum and total energy are conserved.
Although this former method performs well on 1D test cases, the interface
reconstruction suffers of poor accuracy in conserving shapes for instance in
linear advection. This situation leads to spurious instabilities of the
interface. The method Enhanced-NIP presented in the present paper cures an
inconsistency in the former NIP method that improves strikingly the results. It
takes advantage of a more consistent description of the interface in the
numerical scheme. Results for linear advection and compressible Euler equations
for inviscid fluids are presented to assess the benefits of this new method.

37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex