Lattice Boltzmann Method Analysis Tool (LBMAT)

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Lattice Boltzmann Method Analysis Tool (LBMAT)

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

Lattice Boltzmann Method Analysis Tool (LBMAT)

Popis výsledku anglicky

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).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Numerical Algorithms

ISSN

1017-1398

e-ISSN

1572-9265

Svazek periodika

93

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

17

Strana od-do

1509-1525

Kód UT WoS článku

000899904200001

EID výsledku v databázi Scopus

2-s2.0-85144141843