Szczegóły publikacji
Opis bibliograficzny
Lattice Boltzmann Method Analysis Tool (LBMAT) / Radek Fučík, Pavel Eichler, Jakub Klinkovský, Robert STRAKA, Tomáš Oberhuber // Numerical Algorithms ; ISSN 1017-1398. — 2023 — vol. 93 iss. 4, s. 1509–1525. — Bibliogr. s. 1523–1524, Abstr. — Publikacja dostępna online od: 2022-12-16
Autorzy (5)
- Fučík Radek
- Eichler Pavel
- Klinkovský Jakub
- AGHStraka Robert
- Oberhuber Tomáš
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 148648 |
|---|---|
| Data dodania do BaDAP | 2023-09-22 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11075-022-01476-8 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Numerical Algorithms |
Abstract
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).
