Equivalent finite difference and partial differential equations for the lattice Boltzmann method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00353470" target="_blank" >RIV/68407700:21340/21:00353470 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.camwa.2021.03.014" target="_blank" >https://doi.org/10.1016/j.camwa.2021.03.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2021.03.014" target="_blank" >10.1016/j.camwa.2021.03.014</a>
Alternative languages
Result language
angličtina
Original language name
Equivalent finite difference and partial differential equations for the lattice Boltzmann method
Original language description
A general method for the derivation of equivalent finite difference equations (EFDEs) and subsequent equivalent partial differential equations (EPDEs) is presented for a general matrix lattice Boltzmann method (LBM). The method can be used for both the advection diffusion equations and Navier–Stokes equations in all dimensions. In principle, the EFDEs are derived using a recurrence formula. A computational algorithm is proposed for generating sequences of matrices and vectors that are used to obtain EFDEs coefficients. For all DdQq velocity models, the algorithm is proven to be finite and all coefficients are obtained after iterations. The resulting EFDEs and EPDEs are derived for selected velocity models and include the single relaxation time, multiple relaxation times, and cascaded LBM collision operators. The algorithm for the derivation of EFDEs and EPDEs is implemented in C++ using the GiNaC library for symbolic algebraic computations. Its implementation is available under the terms and conditions of the GNU general public license (GPL).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers and Mathematics with Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
90
Issue of the periodical within the volume
May
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
96-103
UT code for WoS article
000642208500010
EID of the result in the Scopus database
2-s2.0-85105009166