MHD_CONTROL
Magnetic Hydrodynamic Control Datasets

MHD_CONTROL is a dataset directory which contains velocity and magnetic field solutions to a time-dependent incompressible magnetized flow problem in a 2D region.

Here is a sample PNG image of the magnetic field at time step 15.

Here is a sample PNG image of the velocity field at time step 15.

Licensing:

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

Related Data and Programs:

MHD_CONTROL, a FORTRAN90 program which was used to compute these datasets.

MHD_CONTROL_MOVIE, a MATHEMATICA program which displays and animates the output data from a magnetic hydrodynamic (MHD) control problem.

MHD_FLOW, a FORTRAN90 program which simulates the evolution of an MHD system.

Reference:

1. Max Gunzburger and Catalin Trenchea,
   Analysis and Discretization of an Optimal Control Problem for the Time-Periodic MHD Equations,
   Journal of Mathematical Analysis and Applications,
   Volume 308, Number 2, 2005, pages 440-466.

Datasets:

There are 50 files containing the data about the magnetic field, with each line containing the values of the coordinates (X,Y) and magnetic components (B1,B2):

• mag00.txt.
• mag01.txt.
• mag02.txt.
• mag03.txt.
• mag04.txt.
• mag05.txt.
• mag06.txt.
• mag07.txt.
• mag08.txt.
• mag09.txt.
• mag10.txt.
• mag11.txt.
• mag12.txt.
• mag13.txt.
• mag14.txt.
• mag15.txt.
• mag16.txt.
• mag17.txt.
• mag18.txt.
• mag19.txt.
• mag20.txt.
• mag21.txt.
• mag22.txt.
• mag23.txt.
• mag24.txt.
• mag25.txt.
• mag26.txt.
• mag27.txt.
• mag28.txt.
• mag29.txt.
• mag30.txt.
• mag31.txt.
• mag32.txt.
• mag33.txt.
• mag34.txt.
• mag35.txt.
• mag36.txt.
• mag37.txt.
• mag38.txt.
• mag39.txt.
• mag40.txt.
• mag41.txt.
• mag42.txt.
• mag43.txt.
• mag44.txt.
• mag45.txt.
• mag46.txt.
• mag47.txt.
• mag48.txt.
• mag49.txt.

There are 50 files containing the data about the velocity field, with each line containing the values of the coordinates (X,Y) and velocity components (U,V):

• vel00.txt.
• vel01.txt.
• vel02.txt.
• vel03.txt.
• vel04.txt.
• vel05.txt.
• vel06.txt.
• vel07.txt.
• vel08.txt.
• vel09.txt.
• vel10.txt.
• vel11.txt.
• vel12.txt.
• vel13.txt.
• vel14.txt.
• vel15.txt.
• vel16.txt.
• vel17.txt.
• vel18.txt.
• vel19.txt.
• vel20.txt.
• vel21.txt.
• vel22.txt.
• vel23.txt.
• vel24.txt.
• vel25.txt.
• vel26.txt.
• vel27.txt.
• vel28.txt.
• vel29.txt.
• vel30.txt.
• vel31.txt.
• vel32.txt.
• vel33.txt.
• vel34.txt.
• vel35.txt.
• vel36.txt.
• vel37.txt.
• vel38.txt.
• vel39.txt.
• vel40.txt.
• vel41.txt.
• vel42.txt.
• vel43.txt.
• vel44.txt.
• vel45.txt.
• vel46.txt.
• vel47.txt.
• vel48.txt.
• vel49.txt.

You can go up one level to the DATASETS directory.