Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stiffened gas approximation and GRP resolution for fluid flows of real
  materials   The equation of state (EOS) embodies thermodynamic properties of compressible
fluid materials and usually has very complicated forms in real engineering
applications, subject to the physical requirements of thermodynamics. The
complexity of EOS in form gives rise to the difficulty in analyzing relevant
wave patterns. Concerning the design of numerical algorithms, the complex EOS
causes the inefficiency of Riemann solvers and even the loss of robustness,
which hampers the development of Godunov-type numerical schemes.
  In this paper, a strategy of local stiffened gas approximation is proposed
for real materials. The stiffened gas EOS is used to approximate general EOS
locally at each interface of computational control volumes so that the Riemann
solver can be significantly simplified. In the meantime, the generalized
Riemann problem (GRP) solver is adopted not only for high resolution purpose
but effective reflection of the local thermodynamics as well. The resulting
scheme is demonstrated to be efficient and robust and numerical examples
display the excellent performance of such an approximation.

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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga