Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes   We propose a formal expansion of multiple relaxation times lattice Boltzmann
schemes in terms of a single infinitesimal numerical variable. The result is a
system of partial differential equations for the conserved moments of the
lattice Boltzmann scheme. The expansion is presented in the nonlinear case up
to fourth order accuracy. The asymptotic corrections of the nonconserved
moments are developed in terms of equilibrium values and partial differentials
of the conserved moments. Both expansions are coupled and conduct to explicit
compact formulas. The new algebraic expressions are validated with previous
results obtained with this approach. The example of isothermal D2Q9 lattice
Boltzmann scheme illustrates the theoretical framework.

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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph