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A simple model to explore whether different thermodynamic variables are similar

example (The sliders are for interactive exploring)

Inspired by George Bryan's and J. Michael Fritsch work on this, but including entrainment and precipitation. For precipitation, a fall-out 'length-scale' is used for simplicity (as there is no prognostic-vertical velocity).

When entrainment is set proportional to 1/z, the entrainment constant chosen is typical for 1000m height. Entrainment only occurs one condensation takes place, and only above 200m for model stability.

Other options:

  • MSE correction for the buoyancy production term in the prognostic equation for MSE
  • No ice phase at all
  • Freezing at zero degrees or over a temperature range
  • Saturation with respect to liquid water or ice

Variables:

  • s: entropy
  • mse: moist static energy
  • ths: entropy based potential temperature
  • Various approximations (the main ones use constant values for Lv and cp)

Inputs:

  • RH: uniform throughout atmsophere
  • Virtual temperature lapse rate: idem
  • Parcel temperature and moisture excess at surface with respect to this reference profile

There is a python visual interface which uses wx. To setup the environment I used and run the code, try:

conda env create --name thermo_model --file=environment.yml
conda activate thermo_model
./compile
python precparcel.py

It should also be possible to compile the code in stand-alone mode and plot using e.g. gnuplot.

gfortran: f95 -fdefault-double precision-8 simpletest.f90 -o simpletest
./simpletest > gpfile

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