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MOLOCH – ‘MOdello LOCale’ in ‘H’ coordinates

MOLOCH – ‘MOdello LOCale’ in ‘H’ coordinates. ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA , ISAC-CNR. Dinamica. Radiazione. Microfisica. MOLOCH. Turbolenza. Suolo. Governing equations. H-Coordinate. Terrain following vertical coordinate ‘H ’.

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MOLOCH – ‘MOdello LOCale’ in ‘H’ coordinates

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  1. MOLOCH – ‘MOdello LOCale’ in ‘H’ coordinates ISTITUTO DI SCIENZE DELL'ATMOSFERA E DEL CLIMA , ISAC-CNR

  2. Dinamica Radiazione Microfisica MOLOCH Turbolenza Suolo

  3. Governing equations

  4. H-Coordinate Terrain following vertical coordinate ‘H’ The vertical scale H is given by the density scale height

  5. Inverse formula Vertical derivative transformation

  6. Trasformazione delle coordinate Trasformazione di uno scalare Trasformazione del gradiente di uno scalare Matrice Jacobiana

  7. Coordinate H Matrice Jacobiana Inversa della Matrice Jacobiana

  8. Horizontal derivative transformation Lagrangian time derivative

  9. Generalized vertical velocity Divergence Continuity

  10. Pressure Gradient Force

  11. Conservation of entropy during microphysical processes where is the partial pressure of water vapor and (=610.6 Pa)

  12. Partial pressure at saturation (Pressman) with respect to water and ice

  13. Turbulence Density and pressure fluctuations are neglected except in buoyancy term Averaged continuity Eddy continuity Averaged scalar equation

  14. Closure hypothesis: Turbulent fluxes of a scalar quantity

  15. Divergence of turbulent fluxes Divergence of turbulent fluxes over flat terrain (one dimensional)

  16. Turbulent kinetic energy equation in H-coordinates Buoyancy generation term

  17. Closure: Energy redistribution hypothesis

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