Journal ArticleDOI
A lattice Boltzmann model for Jeffreys viscoelastic fluid
TLDR
In this paper, an eleven-velocity Boltzmann model using several relaxation times obeys a Jeffreys viscoelastic constitutive law with full isotropic behavior, and the connection between the free parameters of the model and the Jeffreys transport coefficients is made with the help of a modified Chapman-Enskog expansion taking into account large relaxation time effects.Abstract:
In this letter, we show that an eleven-velocity two-dimensional lattice Boltzmann model using several relaxation times obeys a Jeffreys viscoelastic constitutive law with full isotropic behavior. The connection between the free parameters of the model and the Jeffreys transport coefficients is made with the help of a modified Chapman-Enskog expansion taking into account large relaxation time effects. Numerical simulation of a pulsed Couette flow is performed leading to an excellent agreement with predictions.read more
Citations
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Journal ArticleDOI
Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability
Pierre Lallemand,Li-Shi Luo +1 more
TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
Journal ArticleDOI
Multiple-relaxation-time lattice Boltzmann models in three dimensions.
TL;DR: Simulation of a diagonally lid–driven cavity flow in three dimensions clearly demonstrate the superior numerical stability of the multiple–relaxation–time lattice Boltzmann equation over the popular lattice Bhatnagar–Gross–Krook equation.
Journal ArticleDOI
Lattice-Boltzmann Method for Complex Flows
TL;DR: This work reviews many significant developments over the past decade of the lattice-Boltzmann method and discusses higherorder boundary conditions and the simulation of microchannel flow with finite Knudsen number.
Dissertation
The lattice Boltzmann method for complex flows
TL;DR: In this paper, an axisymmetric multiphase lattice Boltzmann model has been proposed to recover the Navier-Stokes equations for two-phase flow.
Journal ArticleDOI
DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method
TL;DR: In this paper, the effectiveness of the lattice Boltzmann equation (LBE) as a computational tool for performing direct numerical simulations (DNS) and large-eddy simulations (LES) of turbulent flows is evaluated.
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