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<html>
<head>
<title>
VECTOR_PLOT - Plot a 2D Vector Field
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
VECTOR_PLOT <br> Plot a 2D Vector Field
</h1>
<hr>
<p>
<b>VECTOR_PLOT</b>
is a FORTRAN90 program which
plots a 2D vector field at scattered points.
</p>
<p>
<b>VECTOR_PLOT</b> reads a file of (X,Y) locations, and a file of
(U,V) vector values, and draws
a plot of the corresponding vector field (U(X,Y), V(X,Y)),
and of the normalized direction field.
</p>
<p>
<b>VECTOR_PLOT</b> requires the user to specify a "scale factor"
for the size of the vectors. A factor of 1.0 is normal, and
corresponds to drawing the trail of particles that have traveled
for one time unit under the influence of the given velocity.
A factor of 0.5 or 2.0 might be used to shorten or lengthen the vectors.
</p>
<p>
<b>VECTOR_PLOT</b> requires the user to specify a "thinning factor"
to discard some of the data. A factor of 1 keeps all the data.
A factor of 2 should throw away about every other column and every
other row of data (if the (X,Y) coordinates fall on a regular grid.)
Thinning the data is a crude but useful tool, because most data files
contain far too many vectors to plot.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>vector_plot</b> <i>xy_file</i> <i>uv_file</i>
</blockquote>
where
<ul>
<li>
<i>xy_file</i> is a list of the XY coordinates of nodes;
</li>
<li>
<i>uv_file</i> is a corresponding list of UV velocity components.
</li>
</ul>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/bump/bump.html">
BUMP</a>,
a FORTRAN90 program which
uses the finite element method
to study the influence of an obstacle in channel flow. The velocity
field can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/case1_flow/case1_flow.html">
CASE1_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/cavity_flow/cavity_flow.html">
CAVITY_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../f_src/channel/channel.html">
CHANNEL</a>,
a FORTRAN90 program which
uses the finite element method
to study flow in a channel. The velocity field can be plotted by
<b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../m_src/direction_arrows/direction_arrows.html">
DIRECTION_ARROWS</a>,
a MATLAB program which
can plot direction
fields.
</p>
<p>
<a href = "../../m_src/direction_arrows_grid/direction_arrows_grid.html">
DIRECTION_ARROWS_GRID</a>,
a MATLAB program which
reads files of
node and velocity data, and, using interpolation, creates a
velocity direction plot with arrows
place on a uniform grid of the user's specification.
</p>
<p>
<a href = "../../m_src/direction_arrows_sequence/direction_arrows_sequence.html">
DIRECTION_ARROWS_SEQUENCE</a>,
a MATLAB program which
can plot
a sequence of direction fields for an animation.
</p>
<p>
<a href = "../../m_src/direction_arrows_sequence2/direction_arrows_sequence2.html">
DIRECTION_ARROWS_SEQUENCE2</a>,
a MATLAB program which
can plot
a sequence of direction fields for an animation.
</p>
<p>
<a href = "../../m_src/direction_arrows2/direction_arrows2.html">
DIRECTION_ARROWS2</a>,
a MATLAB program which
can plot direction
fields.
</p>
<p>
<a href = "../../datasets/inout_flow/inout_flow.html">
INOUT_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/inout_flow2/inout_flow2.html">
INOUT_FLOW2</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../f_src/mhd_flow/mhd_flow.html">
MHD_FLOW</a>,
a FORTRAN90 program which
computes velocity fields
which can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../datasets/tcell_flow/tcell_flow.html">
TCELL_FLOW</a>,
a dataset directory which
contains a sequence of
velocity vector fields that can be plotted by <b>VECTOR_PLOT</b>.
</p>
<p>
<a href = "../../m_src/vector_magnitude_grid/vector_magnitude_grid.html">
VECTOR_MAGNITUDE_GRID</a>,
a MATLAB program which
reads
node and vector data from a file, computes an interpolatory function,
evaluates on a uniform grid of points specified by the user,
and displays a contour plot of the vector magnitude.
</p>
<p>
<a href = "../../m_src/vector_stream_grid/vector_stream_grid.html">
VECTOR_STREAM_GRID</a>,
a MATLAB program which
reads
node and vector data from a file, computes an interpolatory function,
evaluates on a uniform grid of points specified by the user,
and displays a streamline plot of the vector field.
</p>
<p>
<a href = "../../m_src/velocity_arrows/velocity_arrows.html">
VELOCITY_ARROWS</a>,
a MATLAB program which
can plot velocity
fields.
</p>
<p>
<a href = "../../m_src/velocity_arrows_grid/velocity_arrows_grid.html">
VELOCITY_ARROWS_GRID</a>,
a MATLAB program which
reads files of
node and velocity data, and, using interpolation, creates a
vector plot with arrows
place on a uniform grid of the user's specification.
</p>
<p>
<a href = "../../m_src/velocity_arrows_grid2/velocity_arrows_grid2.html">
VELOCITY_ARROWS_GRID2</a>,
a MATLAB program which
reads a single file of
node and velocity data, and using interpolation is
able to display a velocity vector field along any uniform grid
of points specified by the user.
</p>
<p>
<a href = "../../m_src/velocity_arrows_sequence/velocity_arrows_sequence.html">
VELOCITY_ARROWS_SEQUENCE</a>,
a MATLAB program which
can plot
a sequence of velocity fields for an animation.
</p>
<p>
<a href = "../../m_src/velocity_arrows_sequence2/velocity_arrows_sequence2.html">
VELOCITY_ARROWS_SEQUENCE2</a>,
a MATLAB program which
can plot
a sequence of velocity fields for an animation.
</p>
<p>
<a href = "../../m_src/velocity_arrows2/velocity_arrows2.html">
VELOCITY_ARROWS2</a>,
a MATLAB program which
can plot velocity fields.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "vector_plot.f90">vector_plot.f90</a>, the source code.
</li>
<li>
<a href = "vector_plot.sh">vector_plot.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
Here is some data from a
<a href = "../../datasets/tcell_flow/tcell_flow.html">
tcell_flow</a> calculation:
<ul>
<li>
<a href = "tcell_xy.txt">tcell_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "tcell_uv.txt">tcell_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "tcell_dir.png">
tcell_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field,
with a thinning factor of 3.
</li>
<li>
<a href = "tcell_vec.png">
tcell_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field,
with a thinning factor of 3.
</li>
</ul>
</p>
<p>
Here is some test data from the
<a href = "../../f_src/mhd_flow/mhd_flow.html">MHD_FLOW</a> program.
Test files you may copy include:
<ul>
<li>
<a href = "mhd_xy.txt">mhd_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "mhd_uv.txt">mhd_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "mhd_dir.png">
mhd_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field,
with a thinning factor of 3.
</li>
<li>
<a href = "mhd_vec.png">
mhd_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field,
with a thinning factor of 3.
</li>
</ul>
</p>
<p>
Here is some spiral test data.
Test files you may copy include:
<ul>
<li>
<a href = "spiral_xy.txt">spiral_xy.txt</a>,
the X, Y locations.
</li>
<li>
<a href = "spiral_uv.txt">spiral_uv.txt</a>,
the U, V velocity component values.
</li>
<li>
<a href = "spiral_dir.png">
spiral_dir.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the velocity direction field.
</li>
<li>
<a href = "spiral_vec.png">
spiral_vec.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the vector field.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for VECTOR_PLOT.
</li>
<li>
<b>BOX_SEGMENT_CLIP_2D</b> uses a box to clip a line segment in 2D.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is a case insensitive comparison of two characters for equality.
</li>
<li>
<b>CH_IS_DIGIT</b> returns .TRUE. if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>DATA_D2_READ</b> reads a data set of double precision pairs stored in a file.
</li>
<li>
<b>DATA_SIZE</b> counts the size of a data set stored in a file.
</li>
<li>
<b>DIGIT_TO_CH</b> returns the character representation of a decimal digit.
</li>
<li>
<b>DIRECTION_FIELD</b> plots a vector field.
</li>
<li>
<b>EPS_FILE_HEAD</b> writes header information to an encapsulated PostScript file.
</li>
<li>
<b>EPS_FILE_TAIL</b> writes trailer information to an encapsulated PostScript file.
</li>
<li>
<b>FILE_NAME_APPEND</b> appends a string to a filename, before the extension.
</li>
<li>
<b>FILE_NAME_EXT_GET</b> determines the "extension" of a file name.
</li>
<li>
<b>FILE_NAME_EXT_SWAP</b> replaces the current "extension" of a file name.
</li>
<li>
<b>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>I4_SWAP</b> swaps two integer values.
</li>
<li>
<b>PS_ARROW</b> draws an arrow from (X1,Y1) to (X2,Y2).
</li>
<li>
<b>PS_COLOR_LINE</b> handles the line color.
</li>
<li>
<b>PS_COLOR_LINE_SET</b> sets the line color.
</li>
<li>
<b>PS_COMMENT</b> inserts a comment into the PostScript file.
</li>
<li>
<b>PS_DEFAULT</b> sets the internal settings to their default values
</li>
<li>
<b>PS_FILE_CLOSE</b> closes a PostScript file.
</li>
<li>
<b>PS_FILE_HEAD</b> writes header information to a PostScript file.
</li>
<li>
<b>PS_FILE_OPEN</b> opens a new version of a PostScript file with a given name.
</li>
<li>
<b>PS_FILE_TAIL</b> writes trailer information to a PostScript file.
</li>
<li>
<b>PS_LINE_CLOSED</b> adds the graph of a closed line to a PostScript file.
</li>
<li>
<b>PS_PAGE_HEAD</b> writes header information on a new page.
</li>
<li>
<b>PS_PAGE_TAIL</b> writes tail information at the end of a page.
</li>
<li>
<b>PS_SETTING_INT</b> sets, gets, or prints integer internal PS_WRITE parameters.
</li>
<li>
<b>PS_SETTING_REAL</b> sets, gets, or prints real internal PS_WRITE parameters.
</li>
<li>
<b>R8_SWAP</b> swaps two R8's.
</li>
<li>
<b>R8VEC_SORT_BUBBLE_A</b> ascending bubble sorts an R8VEC.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</li>
<li>
<b>S_INDEX_LAST</b> finds the LAST occurrence of a given substring.
</li>
<li>
<b>S_OF_I4</b> converts an integer to a left-justified string.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>THIN_INDEX</b> determines thinning indices for a X, Y data.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TIMESTRING</b> writes the current YMDHMS date into a string.
</li>
<li>
<b>VECTOR_FIELD</b> plots a vector field.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 15 November 2006.
</i>
<!-- John Burkardt -->
</body>
</html>