Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

By V. Aristov. 2001

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A unified gas-kinetic scheme for continuum and rarefied flows (2011, methodology): “This is also true for many other kinetic methods, such as DSMC and direction Boltzmann solver [4,1].”
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases (2012, methodology): “In the framework of deterministic kinetic approximation, the most popular class of methods is based on the so-called discrete velocity methods (DVM) or Discrete Ordinate Method (DOM) of the Boltzmann equation [1,7,14,18,21,34].”