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Lattice Boltzmann Methods
| Speaker: |
Andrea Scagliarini (Instituto Nazionale Di Fisica Nucleare,
Italy)
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| Date: |
Wednesday April 1, 2009
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| Title: |
Advanced Lattice Boltzmann models for self-consistent
thermal flows simulations
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Abstract
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Most of the discrete kinetic models
based on the Lattice Boltzmann Equation cannot describe consistently
thermal flows as they do not take into account for the right energy
balance within the fluid. From this perspective the LBM seems remaining
just a computational tool rather than a model of a fluid. We will
present a different approach for the determination of the local
equilibria, based on a variational principle for an entropy-like
functional. These Entropic Lattice Boltzmann Models lead to a correct
energy equation and are able to recover, in some sense, a discrete
analog of the H-theorem. We will, finally, address the issue of
achieving a self-consistent thermohydrodynamic description of
ideal and non-ideal fluids by briefly discussing a very recent method
based on cleverly “adjusted” local equilibria, obtained applying some
shifts in the hydrodynamic fields.
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