Transition from Kinetic Theory to Macroscopic Fluid Equations: a Problem for Domain Decomposition and a Source for New Algorithms
نویسنده
چکیده
In the paper we discuss the transition from kinetic theory to macroscopic uid equations, where the macroscopic equations are deened as asymptotic limits of a kinetic equation. This relation can be used to derive computationally eecient domain decomposition schemes for the simulation of rareeed gas ows close to the continuum limit. Moreover, we present some basic ideas for the derivation of kinetic induced numerical schemes for macroscopic equations, namely kinetic schemes for general conservation laws as well as Lattice{Boltzmann methods for the incompress-ible Navier{Stokes equations.
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