Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Third-Order Moving Mesh Cell-Centered Scheme for One-Dimensional
  Elastic-Plastic Flows   A third-order moving mesh cell-centered scheme without the remapping of
physical variables is developed for the numerical solution of one-dimensional
elastic-plastic flows with the Mie-Gr\"{u}neisen equation of state, the Wilkins
constitutive model, and the von Mises yielding criterion. The scheme combines
the Lagrangian method with the MMPDE moving mesh method and adaptively moves
the mesh to better resolve shock and other types of waves while preventing the
mesh from crossing and tangling. It can be viewed as a direct arbitrarily
Lagrangian-Eulerian method but can also be degenerated to a purely Lagrangian
scheme. It treats the relative velocity of the fluid with respect to the mesh
as constant in time between time steps, which allows high-order approximation
of free boundaries. A time dependent scaling is used in the monitor function to
avoid possible sudden movement of the mesh points due to the creation or
diminishing of shock and rarefaction waves or the steepening of those waves. A
two-rarefaction Riemann solver with elastic waves is employed to compute the
Godunov values of the density, pressure, velocity, and deviatoric stress at
cell interfaces. Numerical results are presented for three examples. The
third-order convergence of the scheme and its ability to concentrate mesh
points around shock and elastic rarefaction waves are demonstrated. The
obtained numerical results are in good agreement with those in literature. The
new scheme is also shown to be more accurate in resolving shock and rarefaction
waves than an existing third-order cell-centered Lagrangian scheme.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: eess