A 8-neighbor model lattice Boltzmann method applied to mathematical–physical equations
| Autor: | Bo An, J.M. Bergadà |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids |
| Rok vydání: | 2017 |
| Předmět: |
Laplace's equation
Partial differential equation HPP model (9-bit model) Independent equation Applied Mathematics Lattice Boltzmann method Lattice Boltzmann methods 01 natural sciences Boltzmann equation 010305 fluids & plasmas Burgers' equation Fluid dynamics Dinàmica de fluids Modeling and Simulation 8-neighbor model 0103 physical sciences Applied mathematics Mathematical–physical equations Statistical physics Poisson's equation 010306 general physics Enginyeria mecànica::Mecànica de fluids [Àrees temàtiques de la UPC] Mathematics |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) Recercat. Dipósit de la Recerca de Catalunya instname |
| ISSN: | 0307-904X |
| Popis: | © 2016. This version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ A lattice Boltzmann method (LBM) 9-bit model is presented to solve mathematical-physical equations, such as, Laplace equation, Poisson equation, Wave equation and Burgers equation. The 9-bit model has been verified by several test cases. Numerical simulations, including 1D and 2D cases, of each problem are shown respectively. Comparisons are made between numerical predictions and analytic solutions or available numerical results from previous researchers. It turned out that the 9-bit model is computationally effective and accurate for all different mathematical-physical equations studied. The main benefits of the new model proposed is that it is faster than the previous existing models and has a better accuracy. |
| Databáze: | OpenAIRE |
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