Discrete lattice effects on the forcing term in the lattice Boltzmann method.

By Zhaoli Guo, Chuguang Zheng, Baochang Shi. Physical review. E, Statistical, nonlinear, and soft matter physics, 2002

2,124 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/6c5271f085631de263f38de4f521d4f3b7f57b1c

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In Computational Mechanics

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Citations in the corpus

Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, background): “The discrete lattice effect [153] has been included to the source term C , which actually takes the form ( ) 0.”
Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions (2008, methodology): “The redefinition of the macroscopic momentum ~j with respect to the microscopic momentum~J in the presence of a forcing term has been discussed in [6, 13, 16, 24, 35]:”
A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries (2011, methodology): “In this study, under the direct-forcing IB-LBM based on the split-forcing LBE [35, 38], various interface schemes were assessed through flow problems with stationary complex boundaries— Taylor–Green decaying vortex and flow past a circular cylinder.”
The lattice Boltzmann method for complex flows (2007, background): “20) is consistent with the generalised expansion of LBGK equations with additional forces, as described in [17].”
Lattice Boltzmann methods for single-phase and solid-liquid phase-change heat transfer in porous media: A review (2018, methodology): “ce into the LB equation, plays an important role in the LB method. Many forcing schemes have been proposed to design LB models for fluid systems with body forces. In what follows, the forcing schemes [106,123,124] with the discrete lattice effect being considered will be briefly reviewed. 2.1.3.1. H”
A critical evaluation of force term in lattice Boltzmann method, natural convection problem (2010, methodology): “[8] method, here called Scheme III, is to introduce the force population in the collision process as”
A lattice Boltzmann model for multiphase flows with large density ratio (2006, background): “Note that the force terms are incorporated in Eqs. (34) and (36) [ 5 ].”