convect-jl - jnywong.github.io

Welcome! Here is my Julia code to simulate 2D convection in a Cartesian box. Theory and methods used can be found in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation.

Getting Started¶

Pre-requisites¶

Julia (version 1.6)

Package structure¶

convect-jl
    docs/
    src/
        convect_linear.jl
        convect_nonlinear.jl
        critical_ra.jl
        data_utils.jl
        postprocess.jl
        routines.jl
    LICENSE.md
    README.md

Examples¶

Linear convection¶

Open src/convect_linear.jl
Specify input parameters

# Inputs
nz = 101 # no. of vertical gridpoints
nn = 30 # no. of horizontal Fourier modes (excluding zeroth mode)
a = 5 # L/D aspect ratio
Ra = 2700 # Rayleigh number
Pr = 0.5 # Prandtl number
nt = 1e5 # no. of timesteps
nout = 1e3 # output every nout timesteps
zeroth = 0 # include zeroth order temperature in plot?
initOn = 1
saveDir = "/Users/wongj/Documents/convect-out/linear/2021-09-03"

Run script from terminal using julia <working directory>/convect-jl/src/convect_linear.jl (or from julia REPL using include("<working directory>/convect-jl/src/convect_linear.jl") )
Admire the output:

Nonlinear convection¶

Open src/convect_nonlinear.jl
Specify input parameters

# Inputs
nz = 101 # no. of vertical gridpoints
nn = 50 # no. of Fourier modes (excluding zeroth mode)
a = 3 # L/D aspect ratio
Ra = 1e6 # Rayleigh number
Pr = 0.5 # Prandtl number
dt = 3e-6 # timestep size
nt = 1e4 # no. of timesteps
nout = 1e2 # save output every nout timesteps
initOn = 1 # initialise run, otherwise load existing data
saveDir = "/Users/wongj/Documents/convect-out/2021-09-03" # save directory

Run script from terminal using julia <working directory>/convect-jl/src/convect_nonlinear.jl (or from julia REPL using include("<working directory>/convect-jl/src/convect_nonlinear.jl") )
Postprocess and visualise the data using julia <working directory>/convect-jl/src/postprocess.jl (or from julia REPL using include("<working directory>/convect-jl/src/postprocess.jl") ) with the following input parameters

# Inputs
saveDir = "/Users/wongj/Documents/convect-out/2021-09-03" # save directory
nStart = 1
nEnd = 500
zeroth= 1 # plot zeroth mode?

Admire the output:

Simulation of non-linear convection in a 2D Cartesian box.

Authors¶

Jenny Wong - Institut des Sciences de la Terre

License¶

This project is licensed under the MIT License - see the LICENSE.md file for details

🎉