Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
By Xiaowen Shan, Xue-Feng Yuan, Hudong Chen. Journal of Fluid Mechanics, 2006
934 citations recorded by the source corpus.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/e4eecc0873ede7c781a7b57200f23bdef1c8594f
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
Citations in the corpus
- The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review (2015, result): “Since the LBE is a discrete approximation to the continuous Boltzmann equation which is capable of describing gas flow in a wide range of Knudsen number, some efforts have been made to design higher-order LBMs by increasing discrete velocities to achieve its approximation accuracy to the continuous ”
- Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer (2008, background): “Some ways to discretise the velocity space with higher order accuracy have been proposed recently (Chikatamarla and Karlin 2006, Shan et al. 2006).”
- A review on slip models for gas microflows (2012, background): “When the gas microflows beyond the slip flow regime, a higher-order LBM needs to provide a quantitative prediction as well as to reproduce the presence of the KL (Shan et al. 2006; Ansumali et al. 2007).”
- A new hybrid recursive regularised Bhatnagar–Gross–Krook collision model for Lattice Boltzmann method-based large eddy simulation (2018, background): “By expanding fi in Hermite polynomials up to an order N (see [11]) one gets”
- Lattice Boltzmann methods for multiphase flow and phase-change heat transfer (2015, methodology): “Since then many thermal LB models have been developed and most of these models can be classified into the following categories [15, 137, 170]: the multispeed approach [145, 168, 169, 171-188], the double-distribution-function approach [189-211], and the hybrid approach [51, 104, 111, 212-216].”
- Lattice Boltzmann method for microfluidics: models and applications (2011, methodology): “designed off-grid lattice structures have been developed for microscopic flows at finite Knudsen numbers (Shan et al. 2006; Zhang et al. 2006).”