2011
DOI: 10.1098/rsta.2011.0019
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A lattice Boltzmann approach for solving scalar transport equations

Abstract: A lattice Boltzmann (LB) approach is presented for solving scalar transport equations. In addition to the standard LB for fluid flow, a second set of distribution functions is introduced for transport scalars. This LB approach fully recovers the macroscopic scalar transport equation satisfying an exact conservation law. It is numerically stable and scalar diffusivity does not have a Courant-Friedrichs-Lewy-like stability upper limit. With a sufficient lattice isotropy, numerical solutions are independent of gr… Show more

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Cited by 36 publications
(12 citation statements)
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References 17 publications
(31 reference statements)
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“…For scalar fields like the total water specific humidity it is possible to use either another set of distribution functions (Zhang et al, 2011) or a hybrid approach in which conservation equations for these quantities are solved using a classical finite volume/finite difference method. The hybrid approach is used here, in order to minimize the number of degrees of freedom per cell of the global method.…”
Section: Finite Volume Methods For Advected Scalar Quantitiesmentioning
confidence: 99%
“…For scalar fields like the total water specific humidity it is possible to use either another set of distribution functions (Zhang et al, 2011) or a hybrid approach in which conservation equations for these quantities are solved using a classical finite volume/finite difference method. The hybrid approach is used here, in order to minimize the number of degrees of freedom per cell of the global method.…”
Section: Finite Volume Methods For Advected Scalar Quantitiesmentioning
confidence: 99%
“…For scalar fields like the total water specific humidity it is possible to use either another set of distribution functions (Zhang et al., 2011) or a hybrid approach in which conservation equations for these quantities are solved using a classical finite volume/finite difference method. The hybrid approach is used here, in order to minimize the number of degrees of freedom per cell of the global method.…”
Section: Numerical Method: Hybrid Lattice Boltzmann Solvermentioning
confidence: 99%
“…In this model we use a two distribution function method: The hydrodynamic movement is calculated via a 2D LBM framework with a volume of fluid approach for free surfaces [ 41 ]. The passive scalar model of Zhang et al [ 42 ] is used to determine the thermal field. For a closer description of the basic model see [ 15 ].…”
Section: Methodsmentioning
confidence: 99%