Standard

Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method. / Krivovichev, Gerasim V.

In: Applied Mathematics and Computation, Vol. 348, 01.05.2019, p. 25-41.

Research output: Contribution to journal › Article › peer-review

Harvard

Krivovichev, GV 2019, 'Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method', Applied Mathematics and Computation, vol. 348, pp. 25-41. https://doi.org/10.1016/j.amc.2018.11.056

APA

Krivovichev, G. V. (2019). Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method. Applied Mathematics and Computation, 348, 25-41. https://doi.org/10.1016/j.amc.2018.11.056

Vancouver

Krivovichev GV. Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method. Applied Mathematics and Computation. 2019 May 1;348:25-41. https://doi.org/10.1016/j.amc.2018.11.056

Author

Krivovichev, Gerasim V. / Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method. In: Applied Mathematics and Computation. 2019 ; Vol. 348. pp. 25-41.

BibTeX

@article{4bd235dbf0314d0ab33098c7cfefe6b3,
title = "Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method",
abstract = "The paper is devoted to the stability analysis of the body force action models, used in the lattice Boltzmann method. The six widely used models are investigated. Only single-phase fluids are considered. Stability investigation is based on the application of the von Neumann method to the linear approximation of the system of the nonlinear lattice Boltzmann equations. An analysis is realized by the construction of the stability domains in the parameter space. The integral characteristics in dependence on the relaxation time are investigated. The rotation of the body force vector to the flow direction on some angle is considered. It is demonstrated, that the force provides a stabilizing effect if it acts in the opposite direction to the velocity vector. As the main result of the analysis of the stability domains, it is demonstrated, that the better stability properties take place for the implicit model. In the class of the explicit models, the exact difference method is preferable.",
keywords = "Body force action, Lattice Boltzmann method, Stability, EQUATION METHOD, TERMS, LIGAMENT FORMATION, SIMULATION",
author = "Krivovichev, {Gerasim V.}",
year = "2019",
month = may,
day = "1",
doi = "10.1016/j.amc.2018.11.056",
language = "English",
volume = "348",
pages = "25--41",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method

AU - Krivovichev, Gerasim V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - The paper is devoted to the stability analysis of the body force action models, used in the lattice Boltzmann method. The six widely used models are investigated. Only single-phase fluids are considered. Stability investigation is based on the application of the von Neumann method to the linear approximation of the system of the nonlinear lattice Boltzmann equations. An analysis is realized by the construction of the stability domains in the parameter space. The integral characteristics in dependence on the relaxation time are investigated. The rotation of the body force vector to the flow direction on some angle is considered. It is demonstrated, that the force provides a stabilizing effect if it acts in the opposite direction to the velocity vector. As the main result of the analysis of the stability domains, it is demonstrated, that the better stability properties take place for the implicit model. In the class of the explicit models, the exact difference method is preferable.

AB - The paper is devoted to the stability analysis of the body force action models, used in the lattice Boltzmann method. The six widely used models are investigated. Only single-phase fluids are considered. Stability investigation is based on the application of the von Neumann method to the linear approximation of the system of the nonlinear lattice Boltzmann equations. An analysis is realized by the construction of the stability domains in the parameter space. The integral characteristics in dependence on the relaxation time are investigated. The rotation of the body force vector to the flow direction on some angle is considered. It is demonstrated, that the force provides a stabilizing effect if it acts in the opposite direction to the velocity vector. As the main result of the analysis of the stability domains, it is demonstrated, that the better stability properties take place for the implicit model. In the class of the explicit models, the exact difference method is preferable.

KW - Body force action

KW - Lattice Boltzmann method

KW - Stability

KW - EQUATION METHOD

KW - TERMS

KW - LIGAMENT FORMATION

KW - SIMULATION

UR - http://www.scopus.com/inward/record.url?scp=85057841476&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2018.11.056

DO - 10.1016/j.amc.2018.11.056

M3 - Article

AN - SCOPUS:85057841476

VL - 348

SP - 25

EP - 41

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 36814544