Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy stable non-oscillatory fluxes: An optimized wedding of entropy
  conservative flux with non-oscillatory flux   This work settles the problem of constructing entropy stable non-oscillatory
(ESNO) fluxes by framing it as a least square optimization problem. A flux sign
stability condition is introduced and utilized to construct arbitrary order
entropy stable flux as a convex combination of entropy conservative and
non-oscillatory flux. This simple approach is robust which does not explicitly
requires the computation of costly dissipation operator and high order
reconstruction of scaled entropy variable for constructing the diffusion term.
The numerical diffusion is optimized in the sense that entropy stable flux
reduces to the underlying non-oscillatory flux. Different non-oscillatory
entropy stable fluxes are constructed and used to compute the numerical
solution of various standard scalar and systems test problems. Computational
results show that entropy stable schemes are comparable in term of
non-oscillatory nature of schemes using only the underlying non-oscillatory
fluxes. Moreover, these entropy stable schemes maintains the formal order of
accuracy of the lower order flux used in the convex combination.

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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn