# Wall plume and stratification model

## Presentation

This model is presented in details in Caudwell *et al* 2016, *Convection at an isothermal wall in an enclosure and establishment of stratification*, J. Fluid Mech or in my Phd Thesis.

It computes the evolution of the flow and the ambient stratification that appear in a closed cavity when a vertical wall is heated at a given constant temperature. It is based on the Morton *et al* (1965) entrainment theory and Germeles (1975) numerical scheme as per the turbulent part, and on Worster and Leitch (1985) similarity solutions as per the laminar part.

The input parameters are:

- the height of the cavity
`H`

- the global Rayleigh number
`RaHc`

- the Prandtl number
`Pr`

The model mainly computes :

- the plume volume flux
`Q`

- the plume momentum flux
`M`

- the plume buoyancy flux
`F`

- the ambient density field
`deltaE`

## Licence

This code is distributed under CeCILL License (GPL compatible licence).

## Installation

```
git clone https://framagit.org/caudwell/wall-plume-stratification-model.git
```

## Run it

```
cd wall-plume-stratification-model
python wall_plume_model.py
```

The main file is called `wall_plume_model.py`

. It uses the parameters given in its last part, and calls the two attached routines `ODE_MTT_solve.py`

and `worster_leitch_solve.py`

.

It possible to run the model as "fully turbulent" (`is_hybrid = False`

) or as "hybrid" including the laminar modeling (`is_hybrid = True`

).
It is possible to choose a constant (`is_alpha_var = False`

) or a variable (`is_alpha_var = True`

) entrainement coefficient.