Lattice Boltzmann Method Analysis Tool (LBMAT)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00363929" target="_blank" >RIV/68407700:21340/23:00363929 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11075-022-01476-8" target="_blank" >https://doi.org/10.1007/s11075-022-01476-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11075-022-01476-8" target="_blank" >10.1007/s11075-022-01476-8</a>
Alternative languages
Result language
angličtina
Original language name
Lattice Boltzmann Method Analysis Tool (LBMAT)
Original language description
A general computational tool for the derivation of equivalent partial differential equations (EPDEs) is presented for the lattice Boltzmann method (LBM) with general collision operators that include single relaxation time (SRT-LBM), multiple relaxation time (MRT-LBM), central LBM (CLBM), or cumulant LBM (CuLBM). The method can be used to recover the advection–diffusion equations (ADEs), Navier–Stokes equations (NSEs), and other problems that could be solved by LBM in all dimensions. The derivation of EPDEs starts with the discrete (lattice) Boltzmann equation for raw moments and uses spatio-temporal Taylor expansion of these moments to obtain a system of partial differential equations. Then, to recover the desired ADEs or NSEs with additional partial differential terms up to a given order, a computationally feasible algorithm is proposed to eliminate higher order moments. The algorithm for the derivation of EPDEs, under the name of LBMAT (Lattice Boltzmann Method Analysis Tool), is implemented in C++ using the GiNaC library for symbolic algebraic computations. In order to optimize memory demands for higher dimension LBM models such as D3Q27, a custom-tailored data structure for storing the terms of partial differential expressions is proposed. The implementation of LBMAT is available to the community as open-source software 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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Algorithms
ISSN
1017-1398
e-ISSN
1572-9265
Volume of the periodical
93
Issue of the periodical within the volume
12
Country of publishing house
CH - SWITZERLAND
Number of pages
17
Pages from-to
1509-1525
UT code for WoS article
000899904200001
EID of the result in the Scopus database
2-s2.0-85144141843