A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes

M. Rohde*, D. Kandhai, J. J. Derksen, H. E. A. van den Akker

*Corresponding author for this work

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

A generic, mass conservative local grid refinement technique for the lattice-Boltzmann method (LBM) is proposed. As a volumetric description of the lattice-Boltzmann equation is applied, mass conservation can be imposed by allowing the lattice-Boltzmann particles to move from coarse grid cells to fine grid cells and vice versa in the propagation step. In contrast to most existing techniques, no spatial and temporal interpolation of particle densities is applied. Moreover, since the communication between the coarse and the fine grids is independent on the collision step, the method can be used for any LBM scheme.

It was found that the method is second-order accurate in space for 2-D Poiseuille flow and different grid setups. The method was also applied to the case of 2-D lid driven cavity flow at Re = 1000, where half of the cavity was locally refined. It was found that the locations of the two lower vortices could be captured accurately. Finally, a direct numerical simulation (DNS) of turbulent channel flow at Re,= 360 was performed where the grid was locally refined near the walls of the channel. Good first- and second-order turbulence statistics were obtained, showing the applicability of the local grid refinement technique for complex flows. Copyright (c) 2005 John Wiley & Sons, Ltd.

Original languageEnglish
Pages (from-to)439-468
Number of pages30
JournalInternational Journal for Numerical Methods in Fluids
Volume51
Issue number4
DOIs
Publication statusPublished - 10 Jun 2006

Keywords

  • lattice-Boltzmann method
  • local grid refinement
  • turbulence
  • TURBULENT CHANNEL FLOW
  • BGK MODELS
  • SIMULATION
  • EQUATION

Cite this

A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes. / Rohde, M.; Kandhai, D.; Derksen, J. J.; van den Akker, H. E. A.

In: International Journal for Numerical Methods in Fluids, Vol. 51, No. 4, 10.06.2006, p. 439-468.

Research output: Contribution to journalArticle

@article{43a5ab3fa8c9490dabc9269515a27fbc,
title = "A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes",
abstract = "A generic, mass conservative local grid refinement technique for the lattice-Boltzmann method (LBM) is proposed. As a volumetric description of the lattice-Boltzmann equation is applied, mass conservation can be imposed by allowing the lattice-Boltzmann particles to move from coarse grid cells to fine grid cells and vice versa in the propagation step. In contrast to most existing techniques, no spatial and temporal interpolation of particle densities is applied. Moreover, since the communication between the coarse and the fine grids is independent on the collision step, the method can be used for any LBM scheme.It was found that the method is second-order accurate in space for 2-D Poiseuille flow and different grid setups. The method was also applied to the case of 2-D lid driven cavity flow at Re = 1000, where half of the cavity was locally refined. It was found that the locations of the two lower vortices could be captured accurately. Finally, a direct numerical simulation (DNS) of turbulent channel flow at Re,= 360 was performed where the grid was locally refined near the walls of the channel. Good first- and second-order turbulence statistics were obtained, showing the applicability of the local grid refinement technique for complex flows. Copyright (c) 2005 John Wiley & Sons, Ltd.",
keywords = "lattice-Boltzmann method, local grid refinement, turbulence, TURBULENT CHANNEL FLOW, BGK MODELS, SIMULATION, EQUATION",
author = "M. Rohde and D. Kandhai and Derksen, {J. J.} and {van den Akker}, {H. E. A.}",
year = "2006",
month = "6",
day = "10",
doi = "10.1002/fld.1140",
language = "English",
volume = "51",
pages = "439--468",
journal = "International Journal for Numerical Methods in Fluids",
issn = "0271-2091",
publisher = "Wiley-Blackwell",
number = "4",

}

TY - JOUR

T1 - A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes

AU - Rohde, M.

AU - Kandhai, D.

AU - Derksen, J. J.

AU - van den Akker, H. E. A.

PY - 2006/6/10

Y1 - 2006/6/10

N2 - A generic, mass conservative local grid refinement technique for the lattice-Boltzmann method (LBM) is proposed. As a volumetric description of the lattice-Boltzmann equation is applied, mass conservation can be imposed by allowing the lattice-Boltzmann particles to move from coarse grid cells to fine grid cells and vice versa in the propagation step. In contrast to most existing techniques, no spatial and temporal interpolation of particle densities is applied. Moreover, since the communication between the coarse and the fine grids is independent on the collision step, the method can be used for any LBM scheme.It was found that the method is second-order accurate in space for 2-D Poiseuille flow and different grid setups. The method was also applied to the case of 2-D lid driven cavity flow at Re = 1000, where half of the cavity was locally refined. It was found that the locations of the two lower vortices could be captured accurately. Finally, a direct numerical simulation (DNS) of turbulent channel flow at Re,= 360 was performed where the grid was locally refined near the walls of the channel. Good first- and second-order turbulence statistics were obtained, showing the applicability of the local grid refinement technique for complex flows. Copyright (c) 2005 John Wiley & Sons, Ltd.

AB - A generic, mass conservative local grid refinement technique for the lattice-Boltzmann method (LBM) is proposed. As a volumetric description of the lattice-Boltzmann equation is applied, mass conservation can be imposed by allowing the lattice-Boltzmann particles to move from coarse grid cells to fine grid cells and vice versa in the propagation step. In contrast to most existing techniques, no spatial and temporal interpolation of particle densities is applied. Moreover, since the communication between the coarse and the fine grids is independent on the collision step, the method can be used for any LBM scheme.It was found that the method is second-order accurate in space for 2-D Poiseuille flow and different grid setups. The method was also applied to the case of 2-D lid driven cavity flow at Re = 1000, where half of the cavity was locally refined. It was found that the locations of the two lower vortices could be captured accurately. Finally, a direct numerical simulation (DNS) of turbulent channel flow at Re,= 360 was performed where the grid was locally refined near the walls of the channel. Good first- and second-order turbulence statistics were obtained, showing the applicability of the local grid refinement technique for complex flows. Copyright (c) 2005 John Wiley & Sons, Ltd.

KW - lattice-Boltzmann method

KW - local grid refinement

KW - turbulence

KW - TURBULENT CHANNEL FLOW

KW - BGK MODELS

KW - SIMULATION

KW - EQUATION

U2 - 10.1002/fld.1140

DO - 10.1002/fld.1140

M3 - Article

VL - 51

SP - 439

EP - 468

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 4

ER -