cfd_barba

cfd_barba, a Python code which implements the "12 Steps to Navier-Stokes" presentation by Lorena Barba.

These codes have been modified and simplified, to run in a standard Python environment. Some of the notes and comments in the original iPython notebooks have been retained.

• 1D linear convection
• 1D nonlinear convection
• 1D diffusion
• 1D Burgers equation
• 2D linear convection
• 2D nonlinear convection
• 2D diffusion
• 2D Burgers equation
• 2D Laplace equation
• 2D Poisson convection
• 2D Navier-Stokes cavity flow convection
• 2D Navier-Stokes channel flow.

Licensing:

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

Languages:

cfd_barba is available in a Python version

Related Data and Programs:

Source Code:

• cfd_barba.sh, runs all the tests.

• step01.py, set up and solve the 1D linear convection equation.
• step01_initial.png, a plot of the initial condition.
• step01_final.png, a plot of the final solution.
• step02.py, set up and solve the 1D nonlinear convection equation.
• step02_final.png, a plot of the final solution.
• step03.py, set up and solve the 1D diffusion equation.
• step03_final.png, a plot of the final solution.
• step04.py, set up and solve the 1D Burgers equation.
• step04_initial.png, a plot of the initial condition.
• step04_final.png, a plot of the final computed and exact solutions.
• step05.py, set up and solve the 2D linear convection equation.
• step05_initial.png, a plot of the initial condition.
• step05_final1.png, a plot of the final computed solution using nested for loops.
• step05_final2.png, a plot of the final computed solution using array operations.
• step06.py, set up and solve the 2D nonlinear convection equation.
• step06_initial_u.png, a plot of the initial condition for u.
• step06_initial_v.png, a plot of the initial condition for v.
• step06_final_u.png, a plot of the final computed solution for u.
• step06_final_v.png, a plot of the final computed solution for v.
• step07.py, set up and solve the 2D diffusion equation.
• step07_initial.png, a plot of the initial condition.
• step07_10.png, a plot of the solution after 10 steps.
• step07_14.png, a plot of the solution after 14 steps.
• step07_50.png, a plot of the solution after 50 steps.
• step08.py, set up and solve the 2D Burgers equation.
• step08_initial.png, a plot of the initial condition.
• step08_final.png, a plot of the final solutions.
• step09.py, set up and solve the 2D Laplace equation.
• step09_initial.png, a plot of the initial condition.
• step09_final.png, a plot of the final solutions.
• step10.py, set up and solve the 2D Poisson equation.
• step10_final.png, a plot of the final solutions.
• step11.py, set up and solve the 2D Navier-Stokes equations for the driven cavity.
• step11_100.png, a plot of the solution after 100 time steps.
• step11_700.png, a plot of the solution after 700 time steps.
• step12.py, set up and solve the 2D Navier-Stokes equations for the channel.
• step12_trimmed.png, a plot of the solution using 1/3 of the data in each direction.
• step12_all.png, a plot of the solution using all the data.