2016
DOI: 10.1103/physreve.94.043313
|View full text |Cite
|
Sign up to set email alerts
|

Abstract: In the lattice Boltzmann (LB) method, the forcing scheme, which is used to incorporate an external or internal force into the LB equation, plays an important role. It determines whether the force of the system is correctly implemented in an LB model and affects the numerical accuracy. In this paper we aim to clarify a critical issue about the Chapman-Enskog analysis for a class of forcing schemes in the LB method in which the velocity in the equilibrium density distribution function is given by u=∑_{α}e_{α}f_{… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
13
0
1

Year Published

2017
2017
2021
2021

Publication Types

Select...
8

Relationship

0
8

Authors

Journals

citations
Cited by 20 publications
(15 citation statements)
references
References 25 publications
1
13
0
1
Order By: Relevance
“…Let us denote ρ V and ρ L as the vapor and liquid coexistence densities, respectively. In this study, ψ 0 = 1, ρ 0 = 1, and G = 10/3 are used, which leads to ρ V = 0.3675 and ρ L = 2.783 [40,41]. The simulations are conducted in a periodic box N ×N = 053307-5 Fig.…”
Section: Single Static Dropletmentioning
confidence: 99%
“…Let us denote ρ V and ρ L as the vapor and liquid coexistence densities, respectively. In this study, ψ 0 = 1, ρ 0 = 1, and G = 10/3 are used, which leads to ρ V = 0.3675 and ρ L = 2.783 [40,41]. The simulations are conducted in a periodic box N ×N = 053307-5 Fig.…”
Section: Single Static Dropletmentioning
confidence: 99%
“…It should be noted that the error terms associated with the forcing are not shown here. For instance, as reported in the literature [49][50][51], one can show that the error term in the momentum equation appears as ∇ • (δt 2 FF/4ρ).…”
Section: Including the Forcing Termmentioning
confidence: 55%
“…As mentioned before, the force terms in the kinetic equations represent the interface dynamics. First, we recast the post-collision state of the f population in the following form [49]:…”
Section: Including the Forcing Termmentioning
confidence: 99%
“…Through the Chapmann-Enskog expansion, 7,24 the incompressible Equations (1) and ( 2) can be recovered as…”
Section: Lbgk Model For 2d Incompressible Flowmentioning
confidence: 99%