A critical evaluation of force term in lattice Boltzmann method, natural convection problem

Mohamad, A. A.; Kuzmin, Alexandr

doi:10.1016/j.ijheatmasstransfer.2009.11.014

Cited by 283 publications

(132 citation statements)

References 13 publications

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“…The fluid viscosity can be controlled via the relaxation parameter τ, as (6) where e is the lattice velocity, δx/δt. For problems with external forces, the following term is added to the right side of (2) [14], as (7) (8) where fbij is the force applied to each ij-cell. The external forcing term gα given by (7) and (8) has first order convergence [15], which limits the solution to problems with slow moving boundary or flexible boundary with small pressure gradient.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

Boroni

Dottori²,

Rinaldi³

2017

IJM

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Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

Boroni

Dottori²,

Rinaldi³

2017

IJM

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“…For the density distribution functions, bounce-back boundary conditions are applied on all solid boundaries, which mean that incoming boundary populations are equal to out-going populations after the collision (Mohamad et al, 2009;Mohamad and Kuzmin, 2010).…”

Section: Boundary Conditionsmentioning

confidence: 99%

Lattice Boltzmann Method for Natural Convection Flows in a Full Scale Cavity Heated from Below

Abouricha¹,

Alami²,

Kriraa³

et al. 2017

AJHMT

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In this work, we use the lattice Boltzmann method (LBM) to simulate High Rayleigh number natural convection flows in a cavity filled with air and heated from below. One of the vertical walls has a cold portion, while the other walls are adiabatic. This cavity simulates a living space with under-floor heating and fitted with a glass door (single glass). Computations are made in two dimensions for high values of Rayleigh number. The model uses the double populations approach to simulate hydrodynamic and thermal fields. The traditional LBM with a non-uniform grid has high grid requirements at higher Rayleigh number values. The results are presented in terms of streamlines and isotherms. Variation of the local Nusselt number on the walls is shown and discussed. Global heat transfer has been studied in terms of average Nusselt number which is correlated with Rayleigh number. Dimensionless profiles of temperature and velocity along the vertical and horizontal centerline are illustrated.

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“…Hence, the relaxation parameters of the D2Q9 model are calculated using the previous effective viscosities. The lattice kinematic viscosity is habitually selected between 0.01 and 0.001 (Mohamad and Kuzmin, 2010). To avoid eventual non-physical instabilities, this parameter is expressed for natural convection and low Mach number (incompressible flows) by the following expression (El Abdallaoui et al, 2014):…”

Section: D2q9 Model For Fluid Flowmentioning

confidence: 99%

MRT-LBM Simulation of Natural Convection in a Rayleigh-Benard Cavity With Linearly Varying Temperatures on the Sides: Application to a Micropolar Fluid

Mansouri¹,

Hasnaoui²,

Amahmid³

et al. 2017

Frontiers in Heat and Mass Transfer

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A two-dimensional numerical simulation is conducted to study natural convection flow and heat transfer characteristics in a square cavity filled with a micropolar fluid. The lower and upper walls of the cavity are respectively subject to isothermal heating and cooling while the temperatures of both vertical sides decrease linearly in the upwards direction. The Lattice-Boltzmann Method (LBM), with the multi-relaxation time (MRT) scheme for the collision process, is used to solve the problem with the objective to assess the ability and efficiency of this numerical method to describe the micropolar fluid behavior under the effect of the imposed thermal boundary conditions. Computations are carried out for Rayleigh number, , and material parameter (vortex viscosity), , varying respectively in the ranges 10 3  10 6 and 0 2. Combined effects of these parameters on the multiplicity of solutions and critical values of from which transitions occur are investigated for Pr 7. An increase of the material parameter is shown to increase the critical Rayleigh numbers, which confirms the stabilizing effect of the micropolar fluid compared to the Newtonian case ( 0). The study covers both steady and unsteady aspects of the problem under consideration. Initial perturbations play an important role in the cooling process of the hot bottom wall in the present configuration. The bicellular ascending and descending flows are two solutions mirror images of each other but they lead to very different quantities of heat from the bottom wall.

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A critical evaluation of force term in lattice Boltzmann method, natural convection problem

Cited by 283 publications

References 13 publications

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

FULL GPU Implementation of Lattice-Boltzmann Methods with Immersed Boundary Conditions for Fast Fluid Simulations

Lattice Boltzmann Method for Natural Convection Flows in a Full Scale Cavity Heated from Below

MRT-LBM Simulation of Natural Convection in a Rayleigh-Benard Cavity With Linearly Varying Temperatures on the Sides: Application to a Micropolar Fluid

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