mhd_exact

mhd_exact, a Python code which evaluates Hartmann's exact formula for a velocity/pressure/magnetic field solution (u,v), p, (b1,b2) of the partial differential equations (PDE) for steady magnetohydrodynamic (MHD) fluid flow in a 2D rectangular channel.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

mhd_exact is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

mhd_exact_test

python_exact, a Python code which evaluates exact solutions to a few selected examples of ordinary differential equations (ODE) and partial differential equations (PDE).

Reference:

• Jean-Frederic Gerbeau, Claude Le Bris, Tony Lelievre,
  Mathematical methods for the magnetohydrodynamics of liquid metals,
  Oxford University Press, 2006,
  ISBN 978-0-19-856665-6

Source Code:

• mhd_exact.py, the source code;
• mhd_exact.sh, runs all the tests;
• mhd_exact.txt, the output file;

• magnetic_vector.png
• pressure_contour.png
• velocity_vector.png