14-velocity and 18-velocity multiple-relaxation-time lattice Boltzmann models for three-dimensional incompressible flows

Zhang, Wenhuan; Shi, Baochang; Wang, Yihang

doi:10.1016/j.camwa.2015.03.001

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…We have constrained our case to match typical experimental conditions, but the notions can be extended to other sorts of systems as well. the 3D Poiseuille flow is known to have a steady-state solution given by [36]:…”

Section: Methodsmentioning

confidence: 99%

An Adaptive Volumetric Flux Boundary Condition for Lattice Boltzmann Methods

McClure¹,

Li²,

Sheppard³

et al. 2018

Preprint

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This paper presents a spatially and temporally adaptive boundary condition to specify the volumetric flux for lattice Boltzmann methods. The approach differs from standard velocity boundary conditions because it allows the velocity to vary over the boundary region provided that the total flux through the boundary satisfies a prescribed constraint, which is a typical scenario for laboratory experimental studies. This condition allows the boundary pressure to adjust dynamically to yield a specified boundary flow rate as a means to avoid unphysical mismatch between the boundary velocity and the interior flow field that can arise when a constant velocity boundary condition is applied. The method is validated for simulation of one-and two-fluid flow in complex materials, with conditions determined to match typical experiments used to study flow in porous media.

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Section: Methodsmentioning

confidence: 99%

An Adaptive Volumetric Flux Boundary Condition for Lattice Boltzmann Methods

McClure¹,

Li²,

Sheppard³

et al. 2018

Preprint

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show abstract

“…The analytical solution for the Poiseuille flow is given as 35,36 is the pressure gradient in the 3D channel. The simulations are carried out with 40,392 nodes and 227,671 tetrahedrons.…”

Section: D Poiseuille Flowmentioning

confidence: 99%

A scalable parallel unstructured finite volume lattice Boltzmann method for three‐dimensional incompressible flow simulations

Chen

2021

Numerical Methods in Fluids

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The standard lattice Boltzmann method, which employs certain regular lattices coupled with discrete velocities as the computational grid, is limited in its flexibility to simulate flows in irregular geometries. To simulate large-scale complex flows, we present a cell-centered finite volume lattice Boltzmann method for incompressible flows on three-dimensional (3D) unstructured grids and its corresponding parallel algorithm. The advective fluxes are calculated by the low-diffusion Roe scheme, and the gradients of the particle distribution functions are computed with a least squares method. The presented scheme is validated by three benchmark flows: (a) a 3D Poiseuille flow, (b) cubic cavity flows with Reynolds numbers Re = 100 and 400, and (c) flows past a sphere with Re = 50, 100, 150, 200, and 250. Some parallel performance results are presented to show the scalability of the method, which reveal that the proposed parallel algorithm has considerable scalability and that the parallel efficiency is higher than 87% on 3840 processor cores. It can be seen that the presented parallel solver has significant potential for the accurate simulation of flows in complex 3D geometries.

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