From Molecular Dynamics to Navier-Stokes and Beyond

  • Shlomo Ta’asan
  • Byungduck Chough
Conference paper
Part of the ICASE LaRC Interdisciplinary Series in Science and Engineering book series (ICAS, volume 8)


In this paper we outline numerical techniques for the ‘derivation’ of macroscopic equations from microscopic models. The main tool is regression analysis applied to certain coloring schemes whose role is to track the propagation of certain quantities, such as mass momentum and energy. We give a few illustrative examples including a derivation of a continuity equation for dilute gases, which deviate from the usual continuity equation by a nonlinear diffusive term which diminishes as the density increases.


Transition Rate Local Equilibrium Microscopic Model Maxwellian Distribution Identical Particle 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Shlomo Ta’asan
    • 1
  • Byungduck Chough
    • 1
  1. 1.Carnegie Mellon UniversityPittsburgh

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