Results 21 to 30 of about 148,309 (340)

Advection–Diffusion Lattice Boltzmann Method With and Without Dynamical Filter

open access: yesFrontiers in Physics, 2022
In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann method will be close to 0.5, which will lead to numerical ...
Zhihong Zhang, Zhiqiang Li, Yunke Wu
doaj   +1 more source

Consistent Lattice Boltzmann Method [PDF]

open access: yesPhysical Review Letters, 2005
The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the Boltzmann equation is recovered in the domain where variations around the reference temperature are small. Simulation of a
Ansumali, Santosh, Karlin, Iliya V.
openaire   +4 more sources

Crystallographic Lattice Boltzmann Method [PDF]

open access: yesScientific Reports, 2016
AbstractCurrent approaches to Direct Numerical Simulation (DNS) are computationally quite expensive for most realistic scientific and engineering applications of Fluid Dynamics such as automobiles or atmospheric flows. The Lattice Boltzmann Method (LBM), with its simplified kinetic descriptions, has emerged as an important tool for simulating ...
Manjusha Namburi   +2 more
openaire   +2 more sources

Analysis of Carleman Linearization of Lattice Boltzmann

open access: yesFluids, 2022
We explore the Carleman linearization of the collision term of the lattice Boltzmann formulation, as a first step towards formulating a quantum lattice Boltzmann algorithm.
Wael Itani, Sauro Succi
doaj   +1 more source

A Multiple-Grid Lattice Boltzmann Method for Natural Convection under Low and High Prandtl Numbers

open access: yesFluids, 2021
A multi-distribution lattice Boltzmann Bhatnagar–Gross–Krook (BGK) model with a multiple-grid lattice Boltzmann (MGLB) model is proposed to efficiently simulate natural convection over a wide range of Prandtl numbers. In this method, different grid sizes
Seyed Amin Nabavizadeh   +3 more
doaj   +1 more source

Mesoscale numerical approach to predict macroscale fluid flow problems [PDF]

open access: yes, 2010
We present a detailed analysis of the lattice Boltzmann method to simulate an incompressible fluid flow problem. Thorough derivation of macroscopic hydrodynamics equations from the continuous Boltzmann equation is performed.
Che Sidek, Nor Azwadi, Idris, M. S.
core   +1 more source

Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising

open access: yesMathematics, 2023
In the present paper, a novel approach for image denoising based on the numerical solution to the nonlinear diffusion equation is proposed. The Perona–Malik-type equation is solved by employing a hybrid lattice Boltzmann model with five discrete ...
Oleg Ilyin
doaj   +1 more source

Initial and Boundary Conditions for the Lattice Boltzmann Method [PDF]

open access: yes, 1993
A new approach of implementing initial and boundary conditions for the lattice Boltzmann method is presented. The new approach is based on an extended collision operator that uses the gradients of the fluid velocity.
Skordos, P. A.
core   +1 more source

Lattice Boltzmann model in general curvilinear coordinates applied to exactly solvable 2D flow problems

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
Numerical simulation results of basic exactly solvable fluid flows using the previously proposed by H. Chen Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented.
Alexei Chekhlov   +3 more
doaj   +1 more source

Modelling thermal flow in a transition regime using a lattice Boltzmann approach [PDF]

open access: yes, 2007
Lattice Boltzmann models are already able to capture important rarefied flow phenomena, such as velocity-slip and temperature jump, provided the effects of the Knudsen layer are minimal.
Benzi R.   +12 more
core   +1 more source

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