Boundary conditions for thermal lattice Boltzmann simulations

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Abstract

A boundary condition for temperature and heat flux of a thermal lattice Boltzmann method is presented. A thermal lattice BGK model with doubled populations is used to simulate hydrodynamic and thermal fields for flows with viscous heating. The unknown thermal distribution functions at the boundary are assumed to be equilibrium distribution functions with a counter-slip internal energy density which is determined consistently with Dirichlet and/or Neumann boundary conditions. © Springer-Verlag Berlin Heidelberg 2003.

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D’Orazio, A., & Succi, S. (2003). Boundary conditions for thermal lattice Boltzmann simulations. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2657, 977–986. https://doi.org/10.1007/3-540-44860-8_101

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