Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Boltzmann Method for wave propagation in elastic solids with a
  regular lattice: Theoretical analysis and validation   The von Neumann stability analysis along with a Chapman-Enskog analysis is
proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave
propagation in isotropic linear elastic solids, using a regular D2Q9 lattice.
Different boundary conditions are considered: periodic, free surface, rigid
interface. An original absorbing layer model is proposed to prevent spurious
wave reflection at domain boundaries. The present method is assessed
considering several test cases. First, a spatial Gaussian force modulated in
time by a Ricker wavelet is used as a source. Comparisons are made with results
obtained using a classical Fourier spectral method. Both P and S waves are
shown to be very accurately predicted. The case of Rayleigh surface waves is
then addressed to check the accuracy of the method.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex