Lattice Boltzmann Method

Mohamad, A. A.

doi:10.1007/978-0-85729-455-5

Cited by 474 publications

(130 citation statements)

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“…(2) e is the porosity, e u the effective viscosity, F is the total body force which contains the viscous diffusion, the inertia due to the porous medium, and an external force given by the Ergun's relation. The forcing term model is written as [10] …”

Section: Lattice Boltzmann Methods For Incrompressible Flow In Porous mentioning

confidence: 99%

Effect of Obstacle Presence for Heat Transfer in Porous Channel

Chatti

Ghabi

Mhimid

2015

Design and Modeling of Mechanical Systems - II

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Abstract. In this study, heat transfer enhancement in porous medium was inspected. For this aims the lattice Boltzmann method was adopted to simulate mixed convection in porous domain. The Brinkman Forchheimer model was implemented to simulate porous channel including obstacles maintained at constant temperature. The velocity and the temperature are plotted at various parameters. The simulation was carried out for different porosity, Darcy and Reynolds. The Results show that by decreasing porosity, the heat transfer enhances. Also the result points that the obstacle position has effect on heat transfer.

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Section: Lattice Boltzmann Methods For Incrompressible Flow In Porous mentioning

confidence: 99%

Effect of Obstacle Presence for Heat Transfer in Porous Channel

Chatti

Ghabi

Mhimid

2015

Design and Modeling of Mechanical Systems - II

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“…Only when an appropriate g eq α is defined can we get the right riverbed solution from the lattice Boltzmann equation (10). In the LBM, the local equilibrium distribution function is determined by the method of undetermined coefficients [He et al, 2008;Mohamad, 2011]. In general, the local equilibrium distribution function is expressed as a power series with some unknown constants, and then calculate the unknowns according to the relevant conditions.…”

Section: Lattice Boltzmann Equationmentioning

confidence: 99%

A Double-Distribution-Function Lattice Boltzmann Method for Bed-Load Sediment Transport

Cai

Luo

2017

Int. J. Appl. Mechanics

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The governing equations of bed-load sediment transport are the shallow water equations and the Exner equation. To embody the advantages of the lattice Boltzmann method (e.g. simplicity, efficiency), the three-velocity (D1Q3) and five-velocity (D1Q5) doubledistribution-function lattice Boltzmann models (DDF-LBMs), which can present the numerical solution for one-dimensional bed-load sediment transport, are proposed here based on the quasi-steady approach. The so-called DDF-LBM means we use two distribution functions to describe the movement of the two components, respectively. By using the Chapman-Enskog expansion, the governing equations can be recovered correctly from the DDF-LBMs. To illustrate the efficiency of these, two benchmark tests are used, and excellent agreements between the numerical and analytical solutions are demonstrated. In addition, we show that the D1Q5 DDF-LBM has better accuracy compared to the Hudson's method.

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“…The LBM [11], in which Sailfish is based, is a numerical method to solve the Boltzmann equation [12], that in its finite-difference form is…”

Section: The Sailfishmentioning

confidence: 99%

Fluid dynamics in porous media with Sailfish

Coelho

Neumann

2016

Eur. J. Phys.

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Abstract. In this work we show the application of Sailfish to the study of fluid dynamics in porous media. Sailfish is an open-source software based on the latticeBoltzmann method. This application of computational fluid dynamics is of particular interest to the oil and gas industry and the subject could be a starting point for an undergraduate or graduate student in physics or engineering. We built artificial samples of porous media with different porosities and used Sailfish to simulate the fluid flow through in order to calculate permeability and tortuosity. We also present a simple way to obtain the specific superficial area of porous media using Python libraries. To contextualize these concepts, we test the Kozeny-Carman equation, discuss its validity and calculate the Kozeny's constant for our artificial samples.

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Lattice Boltzmann Method

Cited by 474 publications

References 0 publications

Effect of Obstacle Presence for Heat Transfer in Porous Channel

Effect of Obstacle Presence for Heat Transfer in Porous Channel

A Double-Distribution-Function Lattice Boltzmann Method for Bed-Load Sediment Transport

Fluid dynamics in porous media with Sailfish

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