Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy Stable h/p-Nonconforming Discretization with the
  Summation-by-Parts Property for the Compressible Euler and Navier-Stokes
  Equations   In this paper, the entropy conservative/stable algorithms presented by Del
Rey Fernandez and coauthors [18,16,17] for the compressible Euler and
Navier-Stokes equations on nonconforming p-refined/coarsened curvilinear grids
is extended to h/p refinement/coarsening. The main difficulty in developing
nonconforming algorithms is the construction of appropriate coupling procedures
across nonconforming interfaces. Here, a computationally simple and efficient
approach based upon using decoupled interpolation operators is utilized. The
resulting scheme is entropy conservative/stable and element-wise conservative.
Numerical simulations of the isentropic vortex and viscous shock propagation
confirm the entropy conservation/stability and accuracy properties of the
method (achieving ~ p + 1 convergence) which are comparable to those of the
original conforming scheme [4,35]. Simulations of the Taylor-Green vortex at Re
= 1,600 and turbulent flow past a sphere at Re = 2,000 show the robustness and
stability properties of the overall spatial discretization for unstructured
grids. Finally, to demonstrate the entropy conservation property of a
fully-discrete explicit entropy stable algorithm with h/p
refinement/coarsening, we present the time evolution of the entropy function
obtained by simulating the propagation of the isentropic vortex using a
relaxation Runge-Kutta scheme.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess