Equivalent finite difference and partial differential equations for the lattice Boltzmann method

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Equivalent finite difference and partial differential equations for the lattice Boltzmann method

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

Equivalent finite difference and partial differential equations for the lattice Boltzmann method

Popis výsledku anglicky

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).

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

2021

Kód důvěrnosti údajů

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

Název periodika

Computers and Mathematics with Applications

ISSN

0898-1221

e-ISSN

1873-7668

Svazek periodika

90

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

8

Strana od-do

96-103

Kód UT WoS článku

000642208500010

EID výsledku v databázi Scopus

2-s2.0-85105009166