Fundamentals of turbulence modeling

compressible flows

Andre Weiner, Institute of Fluid Mechanics

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Outline

  • general considerations
  • Favre averaging

general considerations

When is compressibility important?

How is turbulence modeling affected?

Favre averaging

What is effect of density fluctuations (mathematically)?

summary

  • density fluctuations often negligible
    $\rightarrow$ turbulence modeling remains almost unchanged
  • Favre averaging transforms transport equation
    $\rightarrow$ recovers generic form of transport equations
  • Favre averaging if only a mathematical transformation (not a simplification)