Numerical solution of the linearized Boltzmann equation for an arbitrary intermolecular potential

DOI10.1016/j.jcp.2009.01.016zbMath1162.82318OpenAlexW2002072100MaRDI QIDQ1017595

Guilherme Bertoldo, F. M. Sharipov

Publication date: 12 May 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.01.016

zbMATH Keywords

Boltzmann equationheat conductivityviscositydiscrete velocity methoddifferential cross section

Mathematics Subject Classification ID

Related Items (15)

Cubic Fokker-Planck method for rarefied monatomic gas flow through a slit and an orifice ⋮ Poiseuille flow and thermal creep based on the Boltzmann equation with the Lennard-Jones potential over a wide range of the Knudsen number ⋮ \textit{ab initio} simulation of planar shock waves ⋮ Numerical modeling of rarefied gas flow through a slit into vacuum based on the kinetic equation ⋮ Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows ⋮ Assessment and development of the gas kinetic boundary condition for the Boltzmann equation ⋮ Flows of rarefied gaseous mixtures with a low mole fraction. Separation phenomenon ⋮ Rarefied gas flow through a thin slit at an arbitrary pressure ratio ⋮ Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas ⋮ Numerical modelling of rarefied gas flow through a slit at arbitrary pressure ratio based on the kinetic equation ⋮ \texttt{Maple} code for the calculation of the matrix elements of the Boltzmann collision operators for mixtures ⋮ A fast iterative model for discrete velocity calculations on triangular grids ⋮ Structure of planar shock waves in gaseous mixtures based on ab initio direct simulation ⋮ High-accuracy calculations of sixteen collision integrals for lennard-Jones (12-6) gases and their interpolation to parameterize neon, argon, and krypton ⋮ Accurate and efficient computation of the Boltzmann equation for Couette flow: influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient

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