title: Volumetric formulation for a class of kinetic models with energy conservation.
abstract: We analyze a volumetric formulation of lattice Boltzmann for compressible thermal fluid flows. The velocity set is chosen with the desired accuracy, based on the Gauss-Hermite quadrature procedure, and tested against controlled problems in bounded and unbounded fluids. The method allows the simulation of thermohydrodyamical problems without the need to preserve the exact space-filling nature of the velocity set, but still ensuring the exact conservation laws for density, momentum, and energy. Issues related to boundary condition problems and improvements based on grid refinement are also investigated.
authors.affiliation: Dipartimento di Fisica and INFN, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Sbragaglia
authors.forename: K
authors.initials: K
authors.lastname: Sugiyama