burgers_time_viscous
The Time-Dependent Viscous Burgers Equation

burgers_time_viscous, a FENICS script which uses the finite element method to solve a version of the time-dependent viscous Burgers equation over the interval [-1,+1].

Note that I have installed FENICS using Docker, and so to run this script I issue the commands:

1. cd $HOME/fenicsproject/burgers_time_viscous
2. fenicsproject run
3. python3 burgers_time_viscous.py
4. exit

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Reference:

1. Hans Petter Langtangen, Anders Logg,
   Solving PDEs in Python - The FEniCS Tutorial Volume 1.

Source Code:

burgers_time_viscous.py takes 100 time steps, from t = 0 to t = 1.

• burgers_time_viscous.py a script which sets up and solves the problem.
• burgers_time_viscous.txt the output file.
• burgers_time_viscous_0.png a plot of the solution.
• burgers_time_viscous_10.png a plot of the solution.
• burgers_time_viscous_20.png a plot of the solution.
• burgers_time_viscous_30.png a plot of the solution.
• burgers_time_viscous_40.png a plot of the solution.
• burgers_time_viscous_50.png a plot of the solution.
• burgers_time_viscous_60.png a plot of the solution.
• burgers_time_viscous_70.png a plot of the solution.
• burgers_time_viscous_80.png a plot of the solution.
• burgers_time_viscous_90.png a plot of the solution.
• burgers_time_viscous_100.png a plot of the solution.