A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
SIAM Journal on Numerical Analysis
Kinetic boundary layers: on the adequate discretization of the Boltzmann collision operator
Journal of Computational and Applied Mathematics
A numerical model for the Boltzmann equation with applications to micro flows
Computers & Mathematics with Applications
Editorial: Mesoscopic Methods in Engineering and Science
Computers & Mathematics with Applications
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We investigate discrete kinetic models in the fluid dynamic limit described by the Euler system and the Navier-Stokes correction obtained by the Chapman-Enskog procedure. We show why reliable ''small'' systems can be expected only for small Mach numbers and derive a calculus for designing models for given Prandtl numbers.