期刊
PHYSICS OF FLUIDS
卷 33, 期 3, 页码 -出版社
AIP Publishing
DOI: 10.1063/5.0039490
关键词
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资金
- Labex MEC [ANR-10-LABX-0092]
- A*MIDEX project - Investissements d'Avenir [ANR-11-IDEX-0001-02]
- French Space agency (CNES)
A new Taylor-expansion lattice-Boltzmann model is proposed, reinterpreting the collision kernel as a closure for the stress-tensor equation. Numerical coupling with other schemes results in error terms with more complex scalings than those obtained via Chapman-Enskog. Different models are carefully analyzed through this new perspective, shedding new light on their consistency with the Navier-Stokes equations.
Owing to the lack of consensus about the way Chapman-Enskog should be performed, a new Taylor-expansion of lattice-Boltzmann models is proposed. In contrast to the Chapman-Enskog expansion, recalled in this manuscript, the method only assumes a sufficiently small time step. Based on the Taylor expansion, the collision kernel is reinterpreted as a closure for the stress-tensor equation. Numerical coupling of lattice-Boltzmann models with other numerical schemes, also encompassed by the method, is shown to create error terms whose scalings are more complex than those obtained via Chapman-Enskog. An athermal model and two compressible models are carefully analyzed through this new scope, casting a new light on each model's consistency with the Navier-Stokes equations.
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