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SUMMARY:LBM: Approximate Invariant Manifolds and Stability - Gorban\, A (L
 eicester)
DTSTART:20100907T155000Z
DTEND:20100907T163000Z
UID:TALK26063@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the Lattice Boltzmann Models in the framework of the 
 Geometric Singular Perturbation theory. We begin with the Lattice Boltzman
 n system discrete in both velocity space and time with the alternating ste
 ps of advection and relaxation\, common to all lattice Boltzmann schemes. 
 When time step is small then this system has an approximate invariant mani
 fold close to locally equilibrium distributions. We found a time step expa
 nsion for the approximate invariant manifold and proved its conditional st
 ability in any order of accuracy under condition that the space derivative
 s of the correspondent order remain bounded. On this invariant manifold\, 
 a macroscopic dynamics arises and we found the time step expansion of the 
 equation of the macroscopic dynamics.
LOCATION:Seminar Room 1\, Newton Institute
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