Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-Balanced Schemes for the Euler Equations with Gravitation:
  Conservative Formulation Using Global Fluxes   We develop a second-order well-balanced central-upwind scheme for the
compressible Euler equations with gravitational source term. Here, we advocate
a new paradigm based on a purely conservative reformulation of the equations
using global fluxes. The proposed scheme is capable of exactly preserving
steady-state solutions expressed in terms of a nonlocal equilibrium variable. A
crucial step in the construction of the second-order scheme is a well-balanced
piecewise linear reconstruction of equilibrium variables combined with a
well-balanced central-upwind evolution in time, which is adapted to reduce the
amount of numerical viscosity when the flow is at (near) steady-state regime.
We show the performance of our newly developed central-upwind scheme and
demonstrate importance of perfect balance between the fluxes and gravitational
forces in a series of one- and two-dimensional examples.

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The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn