The Lattice Boltzmann Equation for Fluid Dynamics and Beyond

By Sauro Succi. 2001

570 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1ebf08072b98b7395a23eb8612ae5ba333a46d6a

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Citations in the corpus

Simulation of copper–water nanofluid in a microchannel in slip flow regime using the lattice Boltzmann method with heat flux boundary condition (2015, background): “In addition, the convection operator is linear, no Poisson equation for the pressure must be resolved and the translation of the microscopic distribution function into the macroscopic quantities consists of simple arithmetic calculations [1].”
Simulating turbulent swirling flow in a gas cyclone: A comparison of various modeling approaches (2011, background): “Succi [31]) show that – wi h the right lattice topology and collision rules – this discrete particles system mimics the Navier-Stokes equations.”
Analytical Predictions and Lattice Boltzmann Simulations of Intrinsic Permeability for Mass Fractal Porous Media (2009, background): “Detailed introductions to the LBM can be found in Sukop and Th orne (2006), Succi (2001), and Wolf-Gladrow (2000).”
Lattice Boltzmann model for melting with natural convection (2008, methodology): “For more details about the algorithm, the reader is referred to lattice Boltzmann textbooks (Chopard and Droz, 1998; Succi, 2001; Wolf-Gladrow, 2000).”
A high-order moment approach for capturing non-equilibrium phenomena in the transition regime (2009, methodology): “The recently developed lattice Boltzmann method (LBM) is constructed from simplified kinetic models that incorporate the essential physics of microscopic processes so that the macroscopic-averaged property obeys the desired macroscopic equations (Chen & Doolen 1998; Succi 2001).”
Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force (2005, methodology): “Lattice-Boltzmann model A general overview of lattice-Boltzmann methods can be found in Chen & Doolen (1998) and Succi (2001), amongst others.”
The lattice Boltzmann advection-diffusion model revisited (2009, methodology): “The lattice Boltzmann (LB) method [1] provides a mesoscopic description of a physical system in terms of density distribution function fi(r, t).”