VectorFieldPlots`
VectorFieldPlots`

ListVectorFieldPlot

As of Version 7.0, ListVectorFieldPlot has been superseded by ListVectorPlot.

ListVectorFieldPlot[{{{x11,y11},{x12,y12},…},…}]

generates a plot of the vector field corresponding to the array of vectors {{{x11,y11},…},…}.

ListVectorFieldPlot[{{pt1,vec1},{pt2,vec2},…}]

generates a plot of a list of vectors, each based at the corresponding point.

Details and Options

  • To use ListVectorFieldPlot, you first need to load the Vector Field Plotting Package using Needs["VectorFieldPlots`"].
  • The array of vectors {{{x11,y11},{x12,y12},…},…} must be rectangular, with dimensions at least 2×2.
  • Vectors given in an array are regularly spaced with vector {x11,x11} placed at the upper-left corner.
  • ListVectorFieldPlot has the same options as Graphics, with the following additions and changes:
  • ColorFunctionNonea function to use for coloring the vectors by their magnitude
    MaxArrowLengthNonelength of the largest vector to be drawn, applied after the ScaleFunction, but before the ScaleFactor
    ScaleFactorAutomaticlinearly rescales the vectors so the longest vector is equal to this value; Automatic fits the vectors in the mesh, None eliminates the rescaling
    ScaleFunctionNonea function to use for rescaling the magnitude of vectors
  • ListVectorFieldPlot treats the option ScaleFactor->Automatic the same as ScaleFactor->None.

Examples

Basic Examples  (1)

Field plot from an array of vectors:

Wolfram Research (2008), ListVectorFieldPlot, Wolfram Language function, https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html.

Text

Wolfram Research (2008), ListVectorFieldPlot, Wolfram Language function, https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html.

CMS

Wolfram Language. 2008. "ListVectorFieldPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html.

APA

Wolfram Language. (2008). ListVectorFieldPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html

BibTeX

@misc{reference.wolfram_2024_listvectorfieldplot, author="Wolfram Research", title="{ListVectorFieldPlot}", year="2008", howpublished="\url{https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_listvectorfieldplot, organization={Wolfram Research}, title={ListVectorFieldPlot}, year={2008}, url={https://reference.wolfram.com/language/VectorFieldPlots/ref/ListVectorFieldPlot.html}, note=[Accessed: 21-December-2024 ]}