Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A two stage fourth-order gas-kinetic scheme on unstructured hybrid mesh   This paper presents an accurate and robust fourth order gas-kinetic scheme on
two dimensional unstructured hybrid mesh for incompressible and compressible
viscous flows. For generalized Riemann problem and Navier-Stokes solution, the
gas-kinetic scheme (GKS) provides a time-accurate flux solver using a different
way in the reconstruction at a cell interface in which two slopes for the
equilibrium state are used. Different from the previous one-stage time-stepping
method, the two-stage Lax-Wendroff type time stepping method is applied in this
paper. Compared to standard four-stage fourth-order Runge-Kutta method, the
two-stage fourth order time accurate method reduces the complexity of the
adoption of time derivative of the flux function. To achieve fourth order
accuracy, a finite volume method for GKS using cubic spline reconstruction is
proposed on both structured grid and unstructured hybrid mesh. When dealing
with flow discontinuities, the original spline scheme is replaced by the one
blended with shock-capturing WENO scheme. Many one and two-dimensional test
cases, including Couette flow, Shu-Osher problem, Woodward-Colella blast
problem, two-dimensional Riemann problem, viscous shock tube flow, supersonic
flow over a forward-facing step, and hypersonic flow over a circular cylinder,
are carried out to demonstrate the performance of the proposed scheme.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
27
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: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin