Lattice Boltzmann Methods for Shallow Water Flows

Zhou, Jian Guo

doi:10.1007/978-3-662-08276-8

Cited by 181 publications

(231 citation statements)

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“…Note that different ways exist to add the external force on the LB scheme (see [10,4,6] for examples). These different options have been tested and they affect the accuracy of the solution.…”

Section: Flow With Fr >mentioning

confidence: 99%

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Asymmetric lattice Boltzmann model for shallow water flows

2013

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To cite this version:B. Chopard, P Van Thang, Laurent Lefevre. Asymmetric lattice Boltzmann model for shallow water flows. Computers and Fluids, Elsevier, 2013, 88, pp.225-231. 10.1016/j.compfluid.2013 AbstractWe consider a Galilean transformation of the lattice Boltzmann model for shallow water flows. In this new reference frame, the velocity lattice is asymmetrical but it is possible to simulate flows with Froude number larger than 1 and to model the transition from a torrential to a fluvial regime.

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Section: Flow With Fr >mentioning

confidence: 99%

“…The lattice Boltzmann (LB) approach to shallow water (SW) flows has been discussed by several authors [2,3,4]. One-dimensional applications are studied by Frandsen [5] and we recently proposed a very detailed analysis of the 1D model [6,7] in the context of irrigation canals.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric lattice Boltzmann model for shallow water flows

2013

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“…In NSW-LBMs, depth-averaging yields a modified collision operator for subcritical [32] and supercritical [33] flows. Depth-averaged LBM was successfully applied to a variety of illustrative benchmark problems, including wave run-up on a sloping beach [34], applications featuring bed slope and friction terms [35], wind-and density-driven circulation over irregular bathymetry [36] and tank sloshing examples [37].…”

Section: Wave Propagation In Shallow Watersmentioning

confidence: 99%

Validation of the GPU-Accelerated CFD Solver ELBE for Free Surface Flow Problems in Civil and Environmental Engineering

et al. 2015

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This contribution is dedicated to demonstrating the high potential and manifold applications of state-of-the-art computational fluid dynamics (CFD) tools for free-surface flows in civil and environmental engineering.All simulations were performed with the academic research code ELBE (efficient lattice boltzmann environment, http://www.tuhh.de/elbe). The ELBE code follows the supercomputing-on-the-desktop paradigm and is especially designed for local supercomputing, without tedious accesses to supercomputers. ELBE uses graphics processing units (GPU) to accelerate the computations and can be used in a single GPU-equipped workstation of, e.g., a design engineer. The code has been successfully validated in very different fields, mostly related to naval architecture and mechanical engineering. In this contribution, we give an overview of past and present applications with practical relevance for civil engineers. The presented applications are grouped into three major categories: (i) tsunami simulations, considering wave propagation, wave runup, inundation and debris flows; (ii) dam break simulations; and (iii) numerical wave tanks for the calculation of hydrodynamic loads on fixed and moving bodies. This broad range of applications in combination with accurate numerical results and very competitive times to solution demonstrates that modern CFD tools in general, and the ELBE code in particular, can be a helpful design tool for civil and environmental engineers.

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“…Combined with simulations in a generated geometry based on SEM images of pit membrane structure, the effective diffusion coefficient of the entire structure was computed. The lattice Boltzmann method (LBM) has shown great promise compared to more traditional finite difference schemes for simulations in complex geometries, such as 3D porous structures (Eshghinejadfard et al 2016;Liu and Wu 2016;Zhang et al 2016), due to its cost-efficient implementation of boundary conditions and ease of parallelization (Zhou 2004;Bernsdorf 2008;Gebäck et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulations of diffusion through native and steam-exploded softwood bordered pits

et al. 2017

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Bordered pits connect adjacent tracheid cells in softwoods and enable water transport between them. Knowledge of how large molecules, such as polysaccharides and enzymes, are transported through pits is important to understand the extraction process of valuable biopolymers from wood. The main mass transport mechanism for large dissolved molecules in wood is diffusion, and this is investigated through mathematical modeling in the lattice Boltzmann framework utilizing SEM images and 3D reconstruction of an actual bordered pit to compute an effective diffusion coefficient. Confocal laser scanning microscopy is used to find the unobstructed diffusion coefficients in a free aqueous solution using fluorescent diffusion probes of dextran. The effect of steam explosion on pit structure is explored through the use of a simplified model. The importance of different components of a bordered pit is investigated using simulation data, and results show that the most important structural features are the borders. Expressions for the effective diffusion coefficient as a function of the free diffusion coefficient are presented for a native and for a steam-exploded pit, respectively.

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Lattice Boltzmann Methods for Shallow Water Flows

Cited by 181 publications

References 0 publications

Asymmetric lattice Boltzmann model for shallow water flows

Asymmetric lattice Boltzmann model for shallow water flows

Validation of the GPU-Accelerated CFD Solver ELBE for Free Surface Flow Problems in Civil and Environmental Engineering

Lattice Boltzmann simulations of diffusion through native and steam-exploded softwood bordered pits

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