Asymptotic Analysis of Lattice Boltzmann Boundary Conditions |
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Authors: | Michael Junk Zhaoxia Yang |
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Institution: | 1. FB Mathematik, Universit?t des Saarlandes, Postfach 15 11 50, 66041, Saarbrücken, Germany
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Abstract: | In this article, we use a general method for the analysis of finite difference schemes to investigate lattice Boltzmann algorithms
for Navier–Stokes problems with Dirichlet boundary conditions. Several link based boundary conditions for commonly used lattice
Boltzmann BGK models are considered. With our method, the accuracy of the algorithms can be exactly predicted. Moreover, the
analytical results can be used to construct new algorithms which is demonstrated with a corrected bounce back rule that requires
only local evaluations but still yields second order accuracy for the velocity. The analysis is applicable to general geometries
and instationary flows |
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Keywords: | lattice Boltzmann equation bounce back rule asymptotic analysis incompressible Navier– Stokes equation Dirichlet boundary conditions |
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