Lattice Boltzmann Equation: Failure or Success?

Details Lattice Boltzmann Equation: Failure or Success? Lattice Boltzmann Equation: Failure or Success?

1996-09-19

arxiv.org/abs/comp-gas/9609002v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

Scientific paper

The lattice Boltzmann equation (LBE) is a microscopically-inspired method designed to solve macroscopic fluid dynamics problems. As a such, it lives at the interface between the microscopic (molecular) and macroscopic (continuum) worlds, hopefully capturing the best of the two. In this paper we shall discuss whether or not, after almost a decade since its inception, LBE has lived up to the initial expectations. Open problems and future research developments are also briefly outlined.

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