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Asymptotic analysis of lattice Boltzmann boundary conditions. (English) Zbl 1107.82049
The first section of the paper is a general introduction in the subject of lattice Boltzmann algorithms for Navier-Stokes problems with Dirichlet boundary conditions. In Section 2 the authors specify the basic Boltzmann algorithms with bounce back rule which are used to demonstrate the new proposed method. The detailed asymptotic analysis is given in Section 3.

MSC:
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
76M28 Particle methods and lattice-gas methods
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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[1] Junk M., Yang Z. Asymptotic analysis of finite difference methods, Appl. Math. Comp. (in press) · Zbl 1061.65084
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