HTML version of Scripted Foils prepared 29 December 1996

Foil 13 The Last (Energy) Equation of CFD: Features of the Full Navier Stokes Equation

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 90.7
1 There are other equations describing "Energy" which involve
  • Temperature
  • Heat Flux
2 and final equation is Equation of state
  • This is pV = RT for an Ideal Gas
3 Features of Navier-Stokes Equations
  • SECOND ORDER PARTIAL (= derivatives with >1 variable) DIFFERENTIAL equations
  • With SEVERAL DEPENDENT variables e.g. five for "simple" CFD r, E, v About twenty for gravitational waves
  • Nonlinear as product r v in momentum equation and square term v2 in energy equation
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