gnuplot-Scripts-Sci-Comp/2d_vector_field_control.gp at master · ejspeiro/gnuplot-Scripts-Sci-Comp · GitHub

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# \file 2d_vector_field_control.gp
#
# \brief Plots 2D vector fields that are used for control in numerical methods.
#
# When a 2D vector field is taken as control, use this script to plot it.
#
# \warning Not intended to be a general solution gut a minimalistic guidance.
#
# \author: Eduardo J. Sanchez (ejspeiro) - eduardo.sanchez at bsc.es

# The MIT License (MIT)
#
# Copyright (c) 2016 Eduardo Sanchez
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.

#!/usr/bin/gnuplot

reset

dat_file_name = "2d_vector_field_control"

# ----- Terminal setup.
# Set wxt terminal (wxWidgets library) for live rendering.
set terminal wxt size 1024,768 enhanced font 'Verdana,10' persist

# Set png terminal for disk storage.
# set terminal png
# set output dat_file_name.".png"

# Set epslatex terminal for publication. (Proportions: 1024/768).
# set terminal epslatex standalone size 13cm,9.75cm color colortext 10
# set output dat_file_name.".tex"

# ----- Data manipulation setup.
scalex = 0.025
scaley = 0.025

pl(xx,yy) = scalex*(xx + yy)/sqrt(xx**2 + yy**2)
ql(xx,yy) = scaley*(xx + yy)/sqrt(xx**2 + yy**2)

# ----- Data visualization setup.
set palette defined (0 '#0000ff', 1 '#00ff00', 2 '#ff0000')

# Style for analytic/control data on cell edges.
set style line 1 lt 2 lc rgb 'black' lw 1 pt 1 ps 2

# ----- Axis setup.
set autoscale fix
set grid
set format "$%g$"
set xlabel "$x$"
set x2tics
set ylabel "$y$"
set y2tics

# ----- Title and legend setup.
set title "Control 2D vector field"
set key bmargin center horizontal

# ----- Plot!
plot dat_file_name.".dat" w p ls 1 title "Domain",\
     dat_file_name.".dat" u 1:2:(pl($3,$4)):(ql($3,$4)):($3 + $4) \
      w vectors head filled palette title "$v(x,y)$"