A central moments-based lattice Boltzmann scheme for shallow water equations
| Autor: | Alessandro De Rosis |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Basis (linear algebra)
HPP model Mechanical Engineering Mathematical analysis Computational Mechanics Lattice Boltzmann methods General Physics and Astronomy 01 natural sciences Stability (probability) Bhatnagar–Gross–Krook operator 010305 fluids & plasmas Computer Science Applications Mechanics of Materials Scheme (mathematics) 0103 physical sciences Benchmark (computing) 010306 general physics Shallow water equations Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 319:379-392 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2017.03.001 |
| Popis: | In this paper, we explore the possibility to derive an original lattice Boltzmann scheme for solving shallow water equations. Specifically, it is proposed to decompose the collision operator by means of a non-orthogonal basis of central moments which relax independently to a discrete equilibrium. Our method is strictly consistent with the BGK operator, as the latter is recovered exactly if all the moments relax with a common frequency. The methodology is validated against five well-consolidated established benchmark problems, showing very good agreement. Moreover, it possesses very high properties in terms of stability. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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