Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation

By Irina Ginzburg. 2005

467 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/17c787a2656176efe3d842923a9112e31b981350

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions (2008, background): “The effective values of the transport coefficients depend also on the distribution of the equilibrium components between the different velocities: the hydrodynamic equations are usually modeled with isotropic equilibrium weights [41] whereas the anisotropic diffusion tensors need anisotropic ones (s”
Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium (2010, background): “When the selected OTRT schemes possess the necessary (best possible) stability among all the TRT schemes, there is no reason to select Λ = 4 , however, the smaller values of Λ may become more efficient to reduce higher-order truncation errors, [8, 28, 30].”
Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme (2008, background): “The TRT evolution equation [12, 13, 16] describes the relaxation of the populations { fq} to prescribed equilibrium functions {eq }:”
Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review (2018, methodology): “p efficient and accurate LB methods from different points of view. In the past two decades, several alternative LB methods, such as the entropic LB method [114,115], the two-relaxation-time LB method [116,117], and the cascaded (or central moment) LB method [112,118, 119, 120, 121, 122], have been p”
The cumulant lattice Boltzmann equation in three dimensions: Theory and validation (2015, background): “4 confirms that the TRT parameters are ineffective with regard to the phase error.”
Consistent initial conditions for lattice Boltzmann simulations (2006, methodology): “The above equation is the general diffusion–advection equation for the passive scalar q [14,15].”
Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation (2010, background): “[38] two types of models, referred to as equilibrium- and link-type models, with various sets of discrete velocities in two and three dimensions are described.”
The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review (2015, methodology): “[80] I. Ginzburg, Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation, Advances in Water resources 28 (11) (2005) 1171-1195.”
Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, background): “Hence several alternative collision operators, such as the multiple-relaxation-time (MRT) collision operator [120-123] and the two-relaxation-time collision operator [124-126], have been proposed.”