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Dr Lei Wu

Lecturer and Chancellor's Fellow

James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering,
University of Strathclyde, Glasgow G1 1XJ, UK


My recent works may be found in ResearchGate


A summary of my work (2010-2017) on the numerical simulaiton of Boltzmann-type equations & applications from Heaven to Underground, classical to quantum (Slides size: 18MB)


Selected publications

Assessment and development of the gas kinetic boundary condition for the Boltzmann equation 
Wu L and Struchtrup Henning.

Journal of Fluid Mechanics 823 (2017) 511-537.

On the apparent permeability of porous media in rarefied gas flows
Wu L and Ho MT and Germanou L and Gu XJ and Liu C and Xu K and Zhang YH.
Journal of Fluid Mechanics 822 (2017) 398–417.

Non-equilibrium dynamics of dense gas under tight confinement
Wu L and Liu HH and Reese JM and Zhang YH.

Journal of Fluid Mechanics 794 (2016) 252–266.

A kinetic model of the Boltzmann equation for non-vibrating polyatomic gases
Wu L and White C and Scanlon TJ and Reese JM and Zhang YH.

Journal of Fluid Mechanics 763 (2015) 24-50

Oscillatory rarefied gas flow inside rectangular cavities
Wu L and Reese JM and Zhang YH.

Journal of Fluid Mechanics 748 (2014) 350-367.

Solving the Boltzmann equation deterministically by the fast spectral method: application to gas microflows
Wu L and Reese JM and Zhang YH.

Journal of Fluid Mechanics 746 (2014) 53-84.


Streamlines, temperature, and velocity distribution function in the "ghost effect" problem; Fast spectral solution of the Boltzmann equation

The "Knudsen paradox" in the Poiseuille flow of dense gas.

The Klinkenberg's experimental results (i.e. why the correction factor decreases with the reciprocal mean gas pressure) in 1941 has been properly explained.

Research interests


  • Rarefied Gas Dynamics (Boltzmann equation)
    when the mean free path of the gas molecule is comparable or larger than the characteristic flow length, the Conventional Computational Dynamics fails and the kinetic equation must be used to study the rarefied gas dynamics. We are developing an accurate and efficient numerical scheme (fast spectral method) for the Boltzmann equation, which has applicaitons in micro/nano-electromechanical systems.
  • Spontaneous/Coherent Rayleigh-Brillouin Scattering
    light propagating through the atmosphere is scattered by gas molecules, where the scattered signals contain information (such as temperature) about the atmosphere. This information can be extracted by comparing the experimental spectra with theoretical ones. Our aim is to provide RBS spectra based on the Boltzmann equation of realistic intermoelcualr potentials.
  • Shale gas, Multiphase flow, Gas-wall interaction (Enskog equation) 
    while the Boltzmann equation is a fundamental model for gas dynamics at low pressure, its applicability in a typical shale gas production scenario with high gas pressure becomes problematic. This is because the Boltzmann equation is derived under the assumption that the mean free path is much larger than the molecular dimension, which is violated at extreme large gas pressures. Although the gas pressure is high, the non-equilibrium phenomena exitsts because of the small channel width. We are developing efficient numerical schemes to solve the Enskog equation which describes dense gas/liquid flowing through ultra-tight shale strata.
  • Granular flows
    an efficient fast spectral method for the generalized Enskog equation has been developed to investigate the exotic dynamics of rapid dense granular flows.