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Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method. / Krivovichev, Gerasim.

In: Computers and Mathematics with Applications, Vol. 79, No. 5, 01.03.2020, p. 1503-1524.

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

Harvard

Krivovichev, G 2020, 'Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method', Computers and Mathematics with Applications, vol. 79, no. 5, pp. 1503-1524. https://doi.org/10.1016/j.camwa.2019.09.010

APA

Krivovichev, G. (2020). Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method. Computers and Mathematics with Applications, 79(5), 1503-1524. https://doi.org/10.1016/j.camwa.2019.09.010

Vancouver

Krivovichev G. Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method. Computers and Mathematics with Applications. 2020 Mar 1;79(5):1503-1524. https://doi.org/10.1016/j.camwa.2019.09.010

Author

Krivovichev, Gerasim. / Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method. In: Computers and Mathematics with Applications. 2020 ; Vol. 79, No. 5. pp. 1503-1524.

BibTeX

@article{9ab6078b55f24e898579e327ad692399,
title = "Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method",
abstract = "The paper is devoted to the analysis of passive scalar transport models, used in the lattice Boltzmann method. The case of the pure advection process, without physical diffusion, is considered. The models, proposed by other authors, the modifications of these models and new high-order finite-difference schemes, based on the extended Runge-Kutta-like formulae, are analyzed. The attention is focused on the stability analysis, analysis of the fictitious numerical effects and on the investigation of the sensitivity of accuracy order to the parameter values.The stability analysis is based on the von Neumann method. The influence of the parameter values on the stability is demonstrated. Stability conditions are obtained. Numerical dispersion and diffusion are analyzed. Test problems with discontinuous and smooth initial conditions are considered. The sensitivity of the accuracy order on the parameter values is analyzed. (C) 2019 Elsevier Ltd. All rights reserved.",
keywords = "Lattice Boltzmann method, Passive scalar transport, Stability, Numerical dispersion, Numerical diffusion, Runge-Kutta methods, STABILITY ANALYSIS, NATURAL-CONVECTION, ADVECTION, SCHEME, FLUID, SIMULATION, EQUATIONS, SURFACES, FLOWS, Runge–Kutta methods",
author = "Gerasim Krivovichev",
year = "2020",
month = mar,
day = "1",
doi = "10.1016/j.camwa.2019.09.010",
language = "Английский",
volume = "79",
pages = "1503--1524",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method

AU - Krivovichev, Gerasim

PY - 2020/3/1

Y1 - 2020/3/1

N2 - The paper is devoted to the analysis of passive scalar transport models, used in the lattice Boltzmann method. The case of the pure advection process, without physical diffusion, is considered. The models, proposed by other authors, the modifications of these models and new high-order finite-difference schemes, based on the extended Runge-Kutta-like formulae, are analyzed. The attention is focused on the stability analysis, analysis of the fictitious numerical effects and on the investigation of the sensitivity of accuracy order to the parameter values.The stability analysis is based on the von Neumann method. The influence of the parameter values on the stability is demonstrated. Stability conditions are obtained. Numerical dispersion and diffusion are analyzed. Test problems with discontinuous and smooth initial conditions are considered. The sensitivity of the accuracy order on the parameter values is analyzed. (C) 2019 Elsevier Ltd. All rights reserved.

AB - The paper is devoted to the analysis of passive scalar transport models, used in the lattice Boltzmann method. The case of the pure advection process, without physical diffusion, is considered. The models, proposed by other authors, the modifications of these models and new high-order finite-difference schemes, based on the extended Runge-Kutta-like formulae, are analyzed. The attention is focused on the stability analysis, analysis of the fictitious numerical effects and on the investigation of the sensitivity of accuracy order to the parameter values.The stability analysis is based on the von Neumann method. The influence of the parameter values on the stability is demonstrated. Stability conditions are obtained. Numerical dispersion and diffusion are analyzed. Test problems with discontinuous and smooth initial conditions are considered. The sensitivity of the accuracy order on the parameter values is analyzed. (C) 2019 Elsevier Ltd. All rights reserved.

KW - Lattice Boltzmann method

KW - Passive scalar transport

KW - Stability

KW - Numerical dispersion

KW - Numerical diffusion

KW - Runge-Kutta methods

KW - STABILITY ANALYSIS

KW - NATURAL-CONVECTION

KW - ADVECTION

KW - SCHEME

KW - FLUID

KW - SIMULATION

KW - EQUATIONS

KW - SURFACES

KW - FLOWS

KW - Runge–Kutta methods

UR - http://www.scopus.com/inward/record.url?scp=85072334080&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/737290b2-0dc8-3e05-9bbf-e7d47aeceb24/

U2 - 10.1016/j.camwa.2019.09.010

DO - 10.1016/j.camwa.2019.09.010

M3 - статья

AN - SCOPUS:85072334080

VL - 79

SP - 1503

EP - 1524

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5

ER -

ID: 46404108