A non-equilibrium bounce-back boundary condition for thermal multispeed LBM

High-order lattice Boltzmann methods provide an elegant and systematic way to incorporate thermal and compressible effects and represent a promising approach for the study of beyond-hydrodynamics regimes characterized by finite Knudsen numbers. However, the presence of multiple layers makes the defi...

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Bibliographic Details
Published in:Journal of computational science 2021-07, Vol.53, p.101364, Article 101364
Main Authors: Klass, Friedemann, Gabbana, Alessandro, Bartel, Andreas
Format: Article
Language:English
Subjects:
D2Q17
D2Q37
High order multispeed models
Lattice Boltzmann method
Non equilibrium bounce back boundary conditions
Thermal boundary conditions
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Summary:High-order lattice Boltzmann methods provide an elegant and systematic way to incorporate thermal and compressible effects and represent a promising approach for the study of beyond-hydrodynamics regimes characterized by finite Knudsen numbers. However, the presence of multiple layers makes the definition of boundary conditions non-trivial, since one needs to define the missing information for particle distributions across several boundary layers. In this work we present a thermal extension of a recently proposed non-equilibrium bounce-back boundary condition and compare it against established algorithms by simulating standard benchmarks with wall-bounded flows. •Boundary Conditions for high order LBM.•Extension of a Non-Equilibrium Boundary Condition to the thermal case.•Validation and numerical evaluation of Boundary Conditions in wall-bounded flows.•Non-Boussinesq simulation of Rayleigh–Benard convection.
ISSN:1877-7503
1877-7511
DOI:10.1016/j.jocs.2021.101364