Computer Physics
Project 2.
Visualization of the
Magneto-Fluid-Dynamic
Equations
Using the CM-200 for calculation, and
Explorer and IDL for visualization.
The Magneto-Fluid-Dynamic Equations:
- which expresses the conservation of Mass, Momentum, Energy and Magnetic Field
along with the Induction Equation to add some flavour to the Magnetic Field of
the spinning vortices....these equations are used on a timeevolving simulation
of the interaction of two perpendicular vortices in a fluid medium.
IDL Rendering of Magnetic Z-component
Fig.1 IDL Renderings.
Here is seen nine progressive snapshots of the Z-komponent of the
Vortices B-field.
Increasing turbulence and deformation is clearly evident as the simulation
evolves with time.
Explorer Rendering of Vortices:
Fig.2: Explorer Rendering.
Here is shown the resultant rendering after 1000
iterations on the Connection Machine using Explorer to visualize the data.
The two Isosurfaces shows the surface with a given constant mass-density
(pink)
and the surface for constant magnitude of the mass-density flow-vectors
(blue).
The Vectors of the mass-density-flow and their orientation are depicted as
yellow
arrows, all having approximately (0.7-1.0 times) the magnitude of
the Isovelocity-surface of mass-density-flow, thus hugging the
blue
surface and clustering in the areas of dominating flow.
The
Red
Fieldlines shows the Magnetic field, whose meandering course bear
witness of great complexity in the interaction of the two Vortex Tubes.
The Fieldlines can be seen to follow the Contours of the the Isosurfaces when
twisted along the Ripples created in the Velocityfield by the outcropping
'knots' of high density
(pink protuberances).
Turbulent Flow
Fig.3 Here the border area between the 'Pure' and the Turbulent Flow
has been depicted, as can readily be inferred from the Vectors, of who the
occasional oddpointing arrow strongly hints at a local outbounded flow, thus
heralding the forthcomming deformation of the tube-like Isosurfaces Vortices
as it must succumb to the disruptive influence of the colliding Maelstroems.
Here the Explorer Render-map used to create
the images can be seen.
Additional Info, for example concerning the used parameters can be found by
loading the map:
"/k/cf96/brian_j/project2.map"
into Explorer.
The corresponding enviroment-variables can be found in the file:
"/k/cf96/brian_j/project2.env"
This Page was created by
Brian Lindgren Jensen,
and finished on December 18th 1996
...and a Happy
Year!
