mhd_exact

mhd_exact, an Octave code which evaluates Hartmann's exact formula for a solution of the magnetohydrodynamic (MHD) fluid flow equations in 2D.

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

octave_exact, an Octave 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_parameters.m, returns parameters of the MHD system.
• mhd_resid.m, computes the residual in two underlying functions u(y) and b(y), which determine the full exact solution.
• mhd_solution.m, evaluates the full set of MHD system variables at points (X,Y).