The Boltzmann Equation



Ludwig Eduard Boltzmann (1844–1906), the Austrian physicist whose greatest achievement was in the development of statistical mechanics, which explains and predicts how the properties of atoms and molecules (microscopic properties) determine the phenomenological (macroscopic) properties of matter such as the viscosity, thermal conductivity, and diffusion coefficient. The distribution function (probability of finding particles within a certain range of velocities at a certain range of locations at a given time) replaces tagging each particle, as in molecular dynamic simulations. The method saves the computer resources drastically.


Weighting Factor Boltzmann Equation Lattice Boltzmann Method Collision Operator Advection Equation 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.College of EngineeringAlfaisal University RiyadhKSA
  2. 2.Department of Mechanical and Manufacturing Engineering, Schulich School of EngineeringThe University of CalgaryCalgaryCanada

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