Abstract

We introduce a lattice Boltzmann computational scheme capable of modeling thermohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational fluid dynamics. The scheme uses a small number of discrete velocity states and a linear, single-time-relaxation collision operator. Numerical simulations in two dimensions agree well with exact solutions for adiabatic sound propagation and Couette flow with heat transfer.

Keywords

Couette flowLattice Boltzmann methodsAdiabatic processHPP modelStatistical physicsBhatnagar–Gross–Krook operatorMonatomic gasMonatomic ionPhysicsFluid dynamicsBoltzmann equationCollisionClassical mechanicsMathematicsFlow (mathematics)MechanicsComputer scienceQuantum mechanicsTurbulence

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Year
1993
Type
article
Volume
47
Issue
4
Pages
R2249-R2252
Citations
403
Access
Closed

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Cite This

Francis J. Alexander, Shiyi Chen, James D. Sterling (1993). Lattice Boltzmann thermohydrodynamics. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics , 47 (4) , R2249-R2252. https://doi.org/10.1103/physreve.47.r2249

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DOI
10.1103/physreve.47.r2249