A 8-neighbor model lattice Boltzmann method applied to mathematical-physical equations

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Title:	A 8-neighbor model lattice Boltzmann method applied to mathematical-physical equations
Author:	An, Bo; Bergadà Granyó, Josep Maria
Other authors:	Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids
Abstract:	© 2016. This version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract:	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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids -Fluid dynamics -8-neighbor model -(9-bit model) -Lattice Boltzmann method -Mathematical–physical equations -Dinàmica de fluids
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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