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An upwind lattice Boltzmann scheme

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arxiv 2111.07106 v2 pith:I34MZFEN submitted 2021-11-13 math.NA cs.NA

classification math.NAcs.NA
keywords schemeboltzmannconservationlatticelawsscalarsourceterms
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A lattice Boltzmann scheme that is close to pure upwind, low diffusive and entropy satisfying Engquist-Osher scheme has been formulated for hyperbolic scalar conservation laws. A model for source terms, with scalar conservation laws, is introduced to remove the numerical imbalance between convection and source terms.

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