Completeness of the Lattice-Boltzmann IKT approach for classical incompressible fluids

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dc.creatorFonda, E.
dc.creatorTessarotto, M.
dc.creatorNicolini, P.
dc.creatorEllero, M.
dc.date2008-06-27
dc.date.accessioned2026-07-07T09:47:13Z
dc.date.available2026-07-07T09:47:13Z
dc.descriptionDespite the abundant literature on the subject appeared in the last few years, the lattice Boltzmann method (LBM) is probably the one for which a complete understanding is not yet available. As an example, an unsolved theoretical issue is related to the construction of a discrete kinetic theory which yields \textit{exactly} the fluid equations, i.e., is non-asymptotic (here denoted as \textit{LB inverse kinetic theory}). The purpose of this paper aims at investigating discrete inverse kinetic theories (IKT) for incompressible fluids. We intend to show that the discrete IKT can be defined in such a way to satisfy, in particular, the requirement of \emph{completeness}, i.e., {\it all} fluid fields are expressed as moments of the kinetic distribution function and {\it all} hydrodynamic equations can be identified with suitable moment equations of an appropriate inverse kinetic equation IKE.
dc.descriptionContributed paper at RGD26 (Kyoto, Japan, July 2008)
dc.identifierhttps://arxiv.org/abs/0806.4556
dc.identifierhttp://arxiv.org/abs/0806.4556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163795
dc.subjectFluid Dynamics
dc.subjectClassical Physics
dc.titleCompleteness of the Lattice-Boltzmann IKT approach for classical incompressible fluids
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