Environmental Engineering Reference
In-Depth Information
The M-file for the dipole is included in the accompanying software as
'dipole.m'
file. The figure (
15.8
) was produced by calling the function from the
'AnElements.m'
file with appropriate parameters. The
'AnElements.m'
file has
options to superpose baseflow, di-pole, sources, sinks and vortices.
For the easy computation of complex potentials the
'AnElements.m'
file can be
used. In the following example we demonstrate the superposition of a di-pole
and a baseflow solution:
The M-file performs the major tasks of input, initialization, execution and output
in consecutive blocks. Isopotential lines are visualized by filled contours, the
streamlines by the
streamline
command. A streamline pattern could also be
produced by contours for the imaginary part of the complex potential. However,
by using the option to specify starting points one obtains a better representation of
the circular limit streamlines.
Figure
15.9
results, which can be found in different application fields. The white
lines can be interpreted as flow lines around a spherical obstacle in the 2D plane
(Prandtl and Tietjens
1934
). Black lines are the is-potential lines in that case. In
groundwater modeling the same superposition is interpreted differently. The black
