Multiple–relaxation–time lattice Boltzmann models in three dimensions

By Dominique d'Humières. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002

1,985 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/40c238971780d562fd1d592f99b5ecc064963e50

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Li-Shi Luo
2. Qing Liu
3. Qing Li
4. Yangyang He
5. Irina Ginzburg
6. Manfred Krafczyk
7. Timothy Reis
8. Dominique d'Humières

In Electrical and Electronic Engineering

1. Li-Shi Luo
2. Qing Li
3. Qing Liu
4. Irina Ginzburg
5. Manfred Krafczyk
6. Timothy Reis
7. Yangyang He
8. Jonas Tölke

Citations in the corpus

• Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers (2018, methodology): “Lattice Boltzmann method The flow is simulated using the D3Q19 multi-relaxation time (MRT) lattice Boltzmann method (d’Humières et al., 2002).”
• LES of turbulent square jet flow using an MRT lattice Boltzmann model (2006, methodology): “The 19 moments are arranged in the following order: m0 = dq is the density fluctuation, m1 = e is related to energy, m2 = e is related to energy square, m3,5,7 = jx,y,z are components of the momentum j = (jx, jy, jz) = q0u, m4,6,8 = qx,y,z are related to components of the heat flux q = (qx,qy,qz), m”
• Assessment of the two relaxation time Lattice‐Boltzmann scheme to simulate Stokes flow in porous media (2012, methodology): “A possible solution is to improve the BGK model by using a multiple-relaxation-time (MRT) model [d’Humières et al., 2002] or a two-relaxation-time (TRT) model [Ginzburg, 2007].”
• Relative Permeability Calculations from Two-Phase Flow Simulations Directly on Digital Images of Porous Rocks (2012, methodology): “Particularly, the multiple relaxation time (MRT) scheme (d’Humières et al. 2002; Ahrenholz et al. 2008)—that basically utilizes the entire scattering matrix in Eq.”
• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “[5, 6] and the standard LB-MRT equation is given by [14, 120-123]: ( ) ( ) ( ) ( ) , , , , eq t t f t f t f t f t α α α αβ β β δ δ   + + = − Λ −   x e x x x ”
• An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations (2006, background): “Some reasonable values for these parameters are given in [27].”
• Asymptotic analysis of the lattice Boltzmann equation (2005, methodology): “With the numbering of the polynomials given in [11], we have to set”