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High-order lattice-Boltzmann

Tutkimustuotosvertaisarvioitu

Standard

High-order lattice-Boltzmann. / Philippi, P. C.; Siebert, D. N.; Hegele, L. A.; Mattila, K. K.

julkaisussa: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vuosikerta 38, Nro 5, 01.06.2016, s. 1401-1419.

Tutkimustuotosvertaisarvioitu

Harvard

Philippi, PC, Siebert, DN, Hegele, LA & Mattila, KK 2016, 'High-order lattice-Boltzmann', Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vuosikerta. 38, Nro 5, Sivut 1401-1419. https://doi.org/10.1007/s40430-015-0441-2

APA

Philippi, P. C., Siebert, D. N., Hegele, L. A., & Mattila, K. K. (2016). High-order lattice-Boltzmann. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38(5), 1401-1419. https://doi.org/10.1007/s40430-015-0441-2

Vancouver

Philippi PC, Siebert DN, Hegele LA, Mattila KK. High-order lattice-Boltzmann. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2016 kesä 1;38(5):1401-1419. https://doi.org/10.1007/s40430-015-0441-2

Author

Philippi, P. C. ; Siebert, D. N. ; Hegele, L. A. ; Mattila, K. K. / High-order lattice-Boltzmann. Julkaisussa: Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2016 ; Vuosikerta 38, Nro 5. Sivut 1401-1419.

Bibtex - Lataa

@article{0385cc1c579d46828fbc1b739c722555,
title = "High-order lattice-Boltzmann",
abstract = "Unlike conventional CFD methods, the lattice Boltzmann method (LBM) describes the dynamic behaviour of physical systems in a mesoscopic scale, based on discrete forms of kinetic equations. In addition to the classical collision-propagation scheme in which the physical and velocity spaces are coupled, finite-differences, finite volumes and finite-element schemes have been used for numerically solving the discrete kinetic equations. A major breakthrough in LB theory was the direct derivation of the LB equation from continuous kinetic equations, establishing a systematic link between the kinetic theory and the lattice Boltzmann method and determining the necessary conditions for the discretization of the velocity space. The lattices obtained by this method proved to be stable in flows over a wide range of parameters, by the use of high-order lattice Boltzmann schemes, leading to velocity sets which, when used in a discrete velocity kinetic scheme, ensures accurate recovery of the high-order hydrodynamic moments. This review presents the theoretical background of these kinetic methods. In particular, we focus on high-order discrete forms of the Boltzmann equation suitable for non-ideal fluids and on the lattice-Boltzmann collision-propagation method.",
keywords = "Computational fluid dynamics, Kinetic methods, lattice-Boltzmann, Mesoscopic modelling",
author = "Philippi, {P. C.} and Siebert, {D. N.} and Hegele, {L. A.} and Mattila, {K. K.}",
note = "INT=fys,{"}Mattila, K. K.{"}",
year = "2016",
month = "6",
day = "1",
doi = "10.1007/s40430-015-0441-2",
language = "English",
volume = "38",
pages = "1401--1419",
journal = "Journal of the Brazilian Society of Mechanical Sciences and Engineering",
issn = "1678-5878",
publisher = "Springer Verlag",
number = "5",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - High-order lattice-Boltzmann

AU - Philippi, P. C.

AU - Siebert, D. N.

AU - Hegele, L. A.

AU - Mattila, K. K.

N1 - INT=fys,"Mattila, K. K."

PY - 2016/6/1

Y1 - 2016/6/1

N2 - Unlike conventional CFD methods, the lattice Boltzmann method (LBM) describes the dynamic behaviour of physical systems in a mesoscopic scale, based on discrete forms of kinetic equations. In addition to the classical collision-propagation scheme in which the physical and velocity spaces are coupled, finite-differences, finite volumes and finite-element schemes have been used for numerically solving the discrete kinetic equations. A major breakthrough in LB theory was the direct derivation of the LB equation from continuous kinetic equations, establishing a systematic link between the kinetic theory and the lattice Boltzmann method and determining the necessary conditions for the discretization of the velocity space. The lattices obtained by this method proved to be stable in flows over a wide range of parameters, by the use of high-order lattice Boltzmann schemes, leading to velocity sets which, when used in a discrete velocity kinetic scheme, ensures accurate recovery of the high-order hydrodynamic moments. This review presents the theoretical background of these kinetic methods. In particular, we focus on high-order discrete forms of the Boltzmann equation suitable for non-ideal fluids and on the lattice-Boltzmann collision-propagation method.

AB - Unlike conventional CFD methods, the lattice Boltzmann method (LBM) describes the dynamic behaviour of physical systems in a mesoscopic scale, based on discrete forms of kinetic equations. In addition to the classical collision-propagation scheme in which the physical and velocity spaces are coupled, finite-differences, finite volumes and finite-element schemes have been used for numerically solving the discrete kinetic equations. A major breakthrough in LB theory was the direct derivation of the LB equation from continuous kinetic equations, establishing a systematic link between the kinetic theory and the lattice Boltzmann method and determining the necessary conditions for the discretization of the velocity space. The lattices obtained by this method proved to be stable in flows over a wide range of parameters, by the use of high-order lattice Boltzmann schemes, leading to velocity sets which, when used in a discrete velocity kinetic scheme, ensures accurate recovery of the high-order hydrodynamic moments. This review presents the theoretical background of these kinetic methods. In particular, we focus on high-order discrete forms of the Boltzmann equation suitable for non-ideal fluids and on the lattice-Boltzmann collision-propagation method.

KW - Computational fluid dynamics

KW - Kinetic methods

KW - lattice-Boltzmann

KW - Mesoscopic modelling

U2 - 10.1007/s40430-015-0441-2

DO - 10.1007/s40430-015-0441-2

M3 - Article

VL - 38

SP - 1401

EP - 1419

JO - Journal of the Brazilian Society of Mechanical Sciences and Engineering

JF - Journal of the Brazilian Society of Mechanical Sciences and Engineering

SN - 1678-5878

IS - 5

ER -