articleTop 1% cited
The lattice Boltzmann equation: theory and applications
Physics Reports · 1992 · Vol. 222(3) · pp. 145–197
Roberto Benzi✉(University of Rome Tor Vergata)Sauro Succi(IBM (United States))Massimo Vergassola(Centre National de la Recherche Scientifique)
Lattice Boltzmann Simulation StudiesFluid Dynamics and Turbulent FlowsAerosol Filtration and Electrostatic PrecipitationPhysicsLattice Boltzmann methodsHPP modelBoltzmann equationLattice gas automatonKinetic theoryStatistical physicsBhatnagar–Gross–Krook operatorLattice (music)Classical mechanics
Citations
2,037
FWCI
16.34
field-weighted impact
References
53
Percentile
100%
vs. same field & year
Citations per year
Cited by
Lattice Boltzmann simulations of liquid-gas and binary fluid systems
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 1,401 citations
Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
Journal of Fluid Mechanics · 2006 · 1,041 citations
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000 · 2,169 citations
Generalized lattice Boltzmann method with multirange pseudopotential
Physical Review E · 2007 · 466 citations
A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications
International Journal of Heat and Mass Transfer · 2014 · 760 citations
Momentum transfer of a Boltzmann-lattice fluid with boundaries
Physics of Fluids · 2001 · 1,189 citations
Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · 1,685 citations
References
Lattice Gas Models for 3D Hydrodynamics
Europhysics Letters (EPL) · 1986 · 380 citations
Boltzmann Approach to Lattice Gas Simulations
Europhysics Letters (EPL) · 1989 · 845 citations
Three-Dimensional Flows in Complex Geometries with the Lattice Boltzmann Method
Europhysics Letters (EPL) · 1989 · 401 citations
Lattice Gas Dynamics with Enhanced Collisions
Europhysics Letters (EPL) · 1989 · 907 citations
Lattice Boltzmann model of immiscible fluids
Physical Review A · 1991 · 1,573 citations
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
Journal of Computational Physics · 1977 · 2,403 citations
Related articles
Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · 1,685 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.