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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.

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
Full Text: DOI
[1] Junk M., Yang Z. Asymptotic analysis of finite difference methods, Appl. Math. Comp. (in press) · Zbl 1061.65084
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