The lattice Boltzmann equation method: theoretical interpretation, numerics and implications

By Robert R. Nourgaliev, Truc-Nam Dinh, Theo G. Theofanous, D. Joseph. 2003

431 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/fa194f3c6f3ddb71ffa6774da0e215124c7749ac

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. Qing Liu
2. Qinjun Kang
3. Qing Li
4. Yangyang He
5. Timothy Reis
6. Cass T. Miller
7. Kai H. Luo
8. Q. Chen

In Electrical and Electronic Engineering

1. Yangyang He
2. Qing Li
3. Qing Liu
4. Timothy Reis
5. Qinjun Kang
6. Kai H. Luo
7. Q. Chen
8. Cass T. Miller

Citations in the corpus

• Lattice Boltzmann model for simulating immiscible two-phase flows (2007, background): “As pointed out by Nourgaliev et al [11] this model cannot introduce a temperature which is consistent with thermodynamics and Luo [12] shows that the equation of state is not the same in the momentum equation and the energy equation.”
• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “ents a non-ideal equation of state in the thermodynamic theory, such as the van der Waals, the Carnahan-Starling, and the Peng-Robinson equations of state. Similar statements can be 38 found in Refs. [34, 253]. In 2006, Yuan and Schaefer [33] numerically found that the achievable largest density rat”
• Lattice Boltzmann model for melting with natural convection (2008, methodology): “Second, the main part of the algorithm is purely local, making the LB method straightforward to parallelize even though not necessarily more efficient than for example the ‘‘continuum” finite difference method (Nourgaliev et al., 2000, 2003).”
• The lattice Boltzmann method for complex flows (2007, background): “A comprehensive survey of two-phase Lattice Boltzmann techniques can be found in [44,61].”
• Lattice‐Boltzmann simulation of two‐phase flow in porous media (2004, methodology): “The FE model conserves mass and momentum locally and globally, and it is formulated to account for equilibrium thermodynamics of nonideal fluids, allowing for the introduction of welldefined temperature and thermodynamics [Nourgaliev et al., 2003].”