Viscous flow computations with the method of lattice Boltzmann equation

By Dazhi Yu, Renwei Mei, Li-Shi Luo, Wei Shyy. 2003

962 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/58f8a5e6a30bb5468fa93b3e77c50aa6c84af687

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

A Review on the development of lattice Boltzmann computation of macro fluid flows and heat transfer (2015, methodology): “As a computational tool, the lattice Boltzmann method differs from incompressible Navier–Stokes equations-based methods as follows [36]:”
Flow patterns in the sedimentation of an elliptical particle (2009, methodology): “Our scheme is essentially the same as the multi-block scheme presented by Yu et al. (2002), the only difference being that the refined grid travels with the particle.”
Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer (2008, methodology): “The lattice Boltzmann equation (LBE) was formulated as a physics-based numerical method for modelling fluid flows (Chen and Doolen 1998, Succi 2001, Yu et al. 2003).”
A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries (2011, methodology): “On the other hand, due to its simplicity and efficiency, the lattice Boltzmann method (LBM) has been broadly used to simulate complex flows as an alternative to the Navier–Stokes methods [29, 30].”
Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions (2008, methodology): “They form the MGLI(α(u)) sub-family and include MGULI/MGDLI and MGYLI schemes which are based on the coefficients of references [5, 46].”
Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme (2008, methodology): “Table 1 summarizes the coefficients of the principal M (u) q schemes: bounce-back (BB), several linear interpolations from three populations based LI(α(u))−family: ULI/DLI from [4], YLI from [41], then CLI, MGULI/MGDLI and MGYLI schemes from “magic” linear sub-family MGLI(α(u)) built in [16].”
Asymptotic analysis of the lattice Boltzmann equation (2005, background): “Consequently, A 1⁄4 1sP is equivalent to the so-called BGK collision operator Jðf Þ 1⁄4 1s 1⁄2f ðeqÞðf Þ f , which is the most popular LBE model [41,6,7,47] and is only a special case considered here.”
The lattice Boltzmann method for complex flows (2007, methodology): “An examination of different inlet boundary treatments and their effects on computational stability is presented in [70] and based on these findings we adopt Yu’s superposition scheme.”
An evaluation of lattice Boltzmann schemes for porous medium flow simulation (2006, methodology): “Hence, the LBE method has gained popularity in recent years for simulating single-fluid and multiple-fluid phase flow through porous media (cf. [11, 12 ] and references therein).”
DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method (2005, background): “[5–7] and refs.”