HTML version of Scripted Foils prepared 29 December 1996

Foil 8 Continuum Physics as an approximation to Particle Dynamics

From CPS615-Physical Simulation Techniques and Structure of CFD Equations Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 14 November 96. by Geoffrey C. Fox *
Secs 228.9
1 Replace particle description by average. 1023 molecules in a molar volume is too many to handle numerically. So divide full system into a large number of "small" volumes dV such that:
  • Macroscopic Properties: Temperature, velocity, pressure are essentially constant in volume
2 In principle, use statistical physics (or Particle Dynamics averaged as "Transport Equations") to describe volume dV in terms of macroscopic (ensemble) properties for volume
3 Volume size = dV must be small enough so macroscopic properties are indeed constant; dV must be large enough so can average over molecular motion to define properties
  • As typical molecule is 10-8 cm in linear dimension, these constraints are not hard
  • Breaks down sometimes e.g. leading edges at shuttle reentry etc. Then you augment continuum approach (computational fluid dynamics) with explicit particle method

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