Discrete Rotational Symmetry, Moment Isotropy, and High Order Lattice Boltzmann Models

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dc.creatorChen, Hudong
dc.creatorGoldhrish, Isaac
dc.creatorOrszag, Steven
dc.date2007-09-10
dc.date.accessioned2026-07-07T08:28:35Z
dc.date.available2026-07-07T08:28:35Z
dc.descriptionConventional lattice Boltzmann models only satisfy moment isotropy up to fourth order. In order to accurately describe improtant physical effects beyond the isothermal Navier-Stokes fluid regime, higher order isotropy is required. In this paper, we present some basic results on moment isotropy and its relationship to the rotational symmetry of a generating discrete vector set. The anslysis provides a geometric understanding for popular lattice Boltzmann models, while offering a systematic procedure to construct higher order models.
dc.identifierhttps://arxiv.org/abs/0709.1464
dc.identifierhttp://arxiv.org/abs/0709.1464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137667
dc.subjectComputational Physics
dc.subjectFluid Dynamics
dc.titleDiscrete Rotational Symmetry, Moment Isotropy, and High Order Lattice Boltzmann Models
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