Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: Theory and simulations

M. Rohde; D. Kandhai; J. J. Derksen; H. E.A. Van Den Akker

Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: Theory and simulations

M. Rohde
, D. Kandhai
, J. J. Derksen
, H. E.A. Van Den Akker

Delft University of Technology

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

Abstract

Several boundary techniques were analyzed for imposing no-slip walls in lattice-Boltzmann schemes. Specifically, the accuracy in the velocity field with respect to the spatial discretization was studied analytically and numerically. It was found that the method was first-order accurate in space. Furthermore, the analysis showed that the error depends on the relaxation parameter and the volume of the boundary cells.

Original language	English
Article number	066703
Pages (from-to)	066703/1-066703/10
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	67
Issue number	6 2
Publication status	Published - Jun 2003
Externally published	Yes

Cite this

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title = "Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: Theory and simulations",

abstract = "Several boundary techniques were analyzed for imposing no-slip walls in lattice-Boltzmann schemes. Specifically, the accuracy in the velocity field with respect to the spatial discretization was studied analytically and numerically. It was found that the method was first-order accurate in space. Furthermore, the analysis showed that the error depends on the relaxation parameter and the volume of the boundary cells.",

author = "M. Rohde and D. Kandhai and Derksen, \{J. J.\} and \{Van Den Akker\}, \{H. E.A.\}",

year = "2003",

month = jun,

language = "English",

volume = "67",

pages = "066703/1--066703/10",

journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1063-651X",

number = "6 2",

}

Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: Theory and simulations. / Rohde, M.; Kandhai, D.; Derksen, J. J. et al.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 6 2, 066703, 06.2003, p. 066703/1-066703/10.

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

TY - JOUR

T1 - Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes

T2 - Theory and simulations

AU - Rohde, M.

AU - Kandhai, D.

AU - Derksen, J. J.

AU - Van Den Akker, H. E.A.

PY - 2003/6

Y1 - 2003/6

N2 - Several boundary techniques were analyzed for imposing no-slip walls in lattice-Boltzmann schemes. Specifically, the accuracy in the velocity field with respect to the spatial discretization was studied analytically and numerically. It was found that the method was first-order accurate in space. Furthermore, the analysis showed that the error depends on the relaxation parameter and the volume of the boundary cells.

AB - Several boundary techniques were analyzed for imposing no-slip walls in lattice-Boltzmann schemes. Specifically, the accuracy in the velocity field with respect to the spatial discretization was studied analytically and numerically. It was found that the method was first-order accurate in space. Furthermore, the analysis showed that the error depends on the relaxation parameter and the volume of the boundary cells.

UR - https://www.scopus.com/pages/publications/37649029356

M3 - Article

AN - SCOPUS:37649029356

SN - 1063-651X

VL - 67

SP - 066703/1-066703/10

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 6 2

M1 - 066703

ER -

Improved bounce-back methods for no-slip walls in lattice-Boltzmann schemes: Theory and simulations

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