Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conservative semi-Lagrangian schemes for kinetic equations Part II:
  Applications   In this paper, we present a new class of conservative semi-Lagrangian schemes
for kinetic equations. They are based on the conservative reconstruction
technique introduced in [S. Y. Cho, et al., Conservative semi-Lagrangian
schemes for kinetic equations Part I: Reconstruction, 2020]. The methods are
high order accurate both in space and time. Because of the semi-Lagrangian
nature, the time step is not restricted by a CFL-type condition. Applications
are presented to rigid body rotation, Vlasov Poisson system and the BGK model
of rarefied gas dynamics. In the first two cases operator splitting is adopted,
to obtain high order accuracy in time, and a conservative reconstruction that
preserves the maximum and minimum of the function is used. For initially
positive solutions, in particular, this guarantees exact preservation of the
L1-norm. Conservative schemes for the BGK model are constructed by coupling the
conservative reconstruction with a conservative treatment of the collision
term. High order in time is obtained by either Runge-Kutta or BDF time
discretization of the equation along characteristics. Because of L-stability
and exact conservation, the resulting scheme for the BGK model is asymptotic
preserving for the underlying fluid dynamic limit. Several test cases in one
and two space dimensions confirm the accuracy and robustness of the methods,
and the AP property of the schemes when applied to the BGK model.

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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio