ListVectorDisplacementPlot
✖
ListVectorDisplacementPlot
generates a displacement plot from an array of vector displacements {vxij,vyij}.
generates a displacement plot from displacements {vxi,vyi} at point {xi,yi}.
uses the scalar values sij to color the displaced region.
uses the scalar values si at point {xi,yi} to color the displaced region.
Details and Options




- ListVectorDisplacementPlot generates a displacement plot using the vector field data over a region. By default, the size of the displacement is automatically scaled so that both small and large displacements remain visible. The displaced region is by default colored according to the magnitude of the displacement.
- If no scalar field values are given, they are taken to be the norm of the vector field.
- ListVectorDisplacementPlot by default interpolates the data given and plots vectors for the vector field at a regular grid of positions.
- ListVectorDisplacementPlot has the same options as Graphics, with the following additions and changes: [List of all options]
-
AspectRatio 1 ratio of height to width BoundaryStyle None how to draw RegionFunction boundaries ClippingStyle Automatic how to display arrows outside the vector range ColorFunction Automatic how to color background densities ColorFunctionScaling True whether to scale arguments to ColorFunction DataRange Automatic the range of x and y values to assume for data Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks Mesh None how many mesh lines to draw in the background MeshFunctions {#5&} how to determine the placement of mesh lines MeshStyle Automatic the style of mesh lines Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends for color gradients PlotRange {Full,Full} range of x, y values to include PlotRangePadding Automatic how much to pad the range of values PlotTheme $PlotTheme overall theme for the plot RegionBoundaryStyle Automatic how to style plot region boundaries RegionFillingStyle Automatic how to style plot region interiors RegionFunction (True&) determine what region to include VectorAspectRatio Automatic width to length ratio for arrows VectorColorFunction Automatic how to color vectors VectorColorFunctionScaling True whether to scale the arguments to VectorColorFunction VectorMarkers Automatic shape to use for vectors VectorPoints None the number or placement of vectors to plot VectorRange Automatic range of vector lengths to show VectorScaling Automatic how to scale the sizes of arrows VectorSizes Automatic sizes of displayed arrows VectorStyle Automatic how to draw vectors - The arguments supplied to functions in MeshFunctions, RegionFunction, ColorFunction and VectorColorFunction are x, y, vx, vy, s.
- The default setting MeshFunctions{#5&} draws mesh lines for the scalar field s.
- By default, the displacement plot shows a representation of the original region and the displaced region.
- RegionBoundaryStyle and RegionFillingStyle can be used to change the style of the original region.
- Additional settings for VectorPoints to show displacement arrows include:
-
Automatic automatically chosen points All use the original data points "Boundary" points along the boundary of reg - By default, displacement arrows connect locations in the original region with the corresponding displaced locations.
- VectorSizesFull shows the full displacement rather than a scaled representation.
-
AlignmentPoint Center the default point in the graphic to align with AspectRatio 1 ratio of height to width Axes False whether to draw axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} style specifications for the axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic BoundaryStyle None how to draw RegionFunction boundaries ClippingStyle Automatic how to display arrows outside the vector range ColorFunction Automatic how to color background densities ColorFunctionScaling True whether to scale arguments to ColorFunction ContentSelectable Automatic whether to allow contents to be selected CoordinatesToolOptions Automatic detailed behavior of the coordinates tool DataRange Automatic the range of x and y values to assume for data Epilog {} primitives rendered after the main plot FormatType TraditionalForm the default format type for text Frame True whether to draw a frame around the plot FrameLabel None frame labels FrameStyle {} style specifications for the frame FrameTicks Automatic frame tick marks FrameTicksStyle {} style specifications for frame ticks GridLines None grid lines to draw GridLinesStyle {} style specifications for grid lines ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels etc. ImageSize Automatic the absolute size at which to render the graphic LabelStyle {} style specifications for labels Mesh None how many mesh lines to draw in the background MeshFunctions {#5&} how to determine the placement of mesh lines MeshStyle Automatic the style of mesh lines Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLabel None an overall label for the plot PlotLegends None legends for color gradients PlotRange {Full,Full} range of x, y values to include PlotRangeClipping False whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic the final display region to be filled PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} primitives rendered before the main plot RegionBoundaryStyle Automatic how to style plot region boundaries RegionFillingStyle Automatic how to style plot region interiors RegionFunction (True&) determine what region to include RotateLabel True whether to rotate y labels on the frame Ticks Automatic axes ticks TicksStyle {} style specifications for axes ticks VectorAspectRatio Automatic width to length ratio for arrows VectorColorFunction Automatic how to color vectors VectorColorFunctionScaling True whether to scale the arguments to VectorColorFunction VectorMarkers Automatic shape to use for vectors VectorPoints None the number or placement of vectors to plot VectorRange Automatic range of vector lengths to show VectorScaling Automatic how to scale the sizes of arrows VectorSizes Automatic sizes of displayed arrows VectorStyle Automatic how to draw vectors
List of all options




Examples
open allclose allBasic Examples (4)Summary of the most common use cases
Plot a displacement field colored by its norm interpolated from a specified set of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-daxks3

Plot the vector field from data specifying coordinates and vectors. The reference region is the convex hull of the coordinates:

https://wolfram.com/xid/0cf29ghx9hopfb2-eqcont

https://wolfram.com/xid/0cf29ghx9hopfb2-mzr6um

Specify a scalar field to color the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-knrpq3

https://wolfram.com/xid/0cf29ghx9hopfb2-crrbf6


https://wolfram.com/xid/0cf29ghx9hopfb2-gpza92

https://wolfram.com/xid/0cf29ghx9hopfb2-gvhixe

Scope (15)Survey of the scope of standard use cases
Sampling (8)
Visualize a scaled displacement field by comparing a reference and a deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-di7abv

Specify the coordinates and the vector field:

https://wolfram.com/xid/0cf29ghx9hopfb2-ciak7l

Specify the coordinates, the vector field and a scalar field:

https://wolfram.com/xid/0cf29ghx9hopfb2-bmgdlt

Generate random points in a vector field:

https://wolfram.com/xid/0cf29ghx9hopfb2-9qtg8
By default, the reference region is the convex hull of the coordinates:

https://wolfram.com/xid/0cf29ghx9hopfb2-h60uod

Vectors are drawn from points in the reference region to corresponding points in the (scaled) deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-jdjkxu

Restrict vectors to points on the boundary:

https://wolfram.com/xid/0cf29ghx9hopfb2-ed3wcy


https://wolfram.com/xid/0cf29ghx9hopfb2-hhz5vi

Displacements can be drawn to scale:

https://wolfram.com/xid/0cf29ghx9hopfb2-1ci9j


https://wolfram.com/xid/0cf29ghx9hopfb2-bni0z2

Specify the region with a RegionFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-dhbvev


https://wolfram.com/xid/0cf29ghx9hopfb2-kkxb0w

https://wolfram.com/xid/0cf29ghx9hopfb2-cozj8z

The domain may be an ImplicitRegion:

https://wolfram.com/xid/0cf29ghx9hopfb2-reznf

https://wolfram.com/xid/0cf29ghx9hopfb2-b99hgs

The domain may be a ParametricRegion:

https://wolfram.com/xid/0cf29ghx9hopfb2-cjws1t

https://wolfram.com/xid/0cf29ghx9hopfb2-fbpgb9

The domain may be a MeshRegion:

https://wolfram.com/xid/0cf29ghx9hopfb2-crh4aa

https://wolfram.com/xid/0cf29ghx9hopfb2-cpptn6

The domain may be a BoundaryMeshRegion:

https://wolfram.com/xid/0cf29ghx9hopfb2-bb7u5e

https://wolfram.com/xid/0cf29ghx9hopfb2-fnv84p

Presentation (7)
Specify the ColorFunction for the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-1tm27

Specify the VectorColorFunction independently of the ColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-juioqj

Use a single color for the arrows:

https://wolfram.com/xid/0cf29ghx9hopfb2-gkgx4l

Include a legend for the norms of the displacements:

https://wolfram.com/xid/0cf29ghx9hopfb2-bwx9p7

Include a legend for the optional scalar field:

https://wolfram.com/xid/0cf29ghx9hopfb2-didvoq

Include a Mesh:

https://wolfram.com/xid/0cf29ghx9hopfb2-nfz0a


https://wolfram.com/xid/0cf29ghx9hopfb2-cyyjs5

Options (45)Common values & functionality for each option
AspectRatio (2)
By default, the aspect ratio is Automatic:

https://wolfram.com/xid/0cf29ghx9hopfb2-dlw2fp


https://wolfram.com/xid/0cf29ghx9hopfb2-bracci

BoundaryStyle (3)
By default, the boundary style matches the interior colors in the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-h66t0c

Specify the BoundaryStyle:

https://wolfram.com/xid/0cf29ghx9hopfb2-cvrzph

BoundaryStyle applies to regions cut by RegionFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-kf1nz

ColorFunction (4)
By default, the deformed region is colored by the norm of the field:

https://wolfram.com/xid/0cf29ghx9hopfb2-cpa1sk

Specify a scalar field for the colors:

https://wolfram.com/xid/0cf29ghx9hopfb2-g7fwr5


https://wolfram.com/xid/0cf29ghx9hopfb2-c75u88

Specify a custom ColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-ut3gw

ColorFunctionScaling (2)
Use the natural range of norm values:

https://wolfram.com/xid/0cf29ghx9hopfb2-hzxbap

Control the scaling of the individual arguments of the ColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-cpro6p

DataRange (1)
By default, the reference region is taken to be the index range of the data array:

https://wolfram.com/xid/0cf29ghx9hopfb2-lydp74

https://wolfram.com/xid/0cf29ghx9hopfb2-gjzks7

Specify the data range for the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-e78e4m

Mesh (3)
Specify a Mesh to visualize the displacements:

https://wolfram.com/xid/0cf29ghx9hopfb2-iqnv1x

https://wolfram.com/xid/0cf29ghx9hopfb2-i2l0x5

Show the initial and final sampling mesh:

https://wolfram.com/xid/0cf29ghx9hopfb2-kj7g1w

Specify 10 mesh lines in the direction and 5 in the
direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-b5o9mb

Use mesh lines at specific values:

https://wolfram.com/xid/0cf29ghx9hopfb2-ismqa3

https://wolfram.com/xid/0cf29ghx9hopfb2-f3cp0

Highlight specific mesh lines:

https://wolfram.com/xid/0cf29ghx9hopfb2-bfb7yp

Mesh lines are suppressed in the reference region if the boundary and filling of the reference region are removed:

https://wolfram.com/xid/0cf29ghx9hopfb2-cy43k5

https://wolfram.com/xid/0cf29ghx9hopfb2-daopx1

MeshFunctions (1)
MeshStyle (1)
PlotLegends (3)
Include a legend to show the color range of vector norms:

https://wolfram.com/xid/0cf29ghx9hopfb2-uhlrf

https://wolfram.com/xid/0cf29ghx9hopfb2-hjoax2

Include a legend for the optional scalar field:

https://wolfram.com/xid/0cf29ghx9hopfb2-dbapc6

https://wolfram.com/xid/0cf29ghx9hopfb2-mux6q

Control the placement of the legend:

https://wolfram.com/xid/0cf29ghx9hopfb2-gb8irv

https://wolfram.com/xid/0cf29ghx9hopfb2-detx16

PlotPoints (1)
PlotRange (3)
The full PlotRange is used by default:

https://wolfram.com/xid/0cf29ghx9hopfb2-eagpji

https://wolfram.com/xid/0cf29ghx9hopfb2-wpnat

Specify an explicit limit that is shared by the and
directions:

https://wolfram.com/xid/0cf29ghx9hopfb2-e1aodr

https://wolfram.com/xid/0cf29ghx9hopfb2-o508fr

Specify different plot ranges in the and
directions:

https://wolfram.com/xid/0cf29ghx9hopfb2-dehwj

https://wolfram.com/xid/0cf29ghx9hopfb2-euwb4c

PlotStyle (4)
Remove the filling for the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-ixmjp0

https://wolfram.com/xid/0cf29ghx9hopfb2-bayyns

Apply a Texture to the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-n2g794

https://wolfram.com/xid/0cf29ghx9hopfb2-eim6oz

https://wolfram.com/xid/0cf29ghx9hopfb2-iy3zil

Use PatternFilling to style the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-d6gx5y

https://wolfram.com/xid/0cf29ghx9hopfb2-d5w0v4

https://wolfram.com/xid/0cf29ghx9hopfb2-g9dyju

ColorFunction has precedence over PlotStyle:

https://wolfram.com/xid/0cf29ghx9hopfb2-g3ezad

https://wolfram.com/xid/0cf29ghx9hopfb2-qjchb

https://wolfram.com/xid/0cf29ghx9hopfb2-ota28c

PlotTheme (1)
RegionBoundaryStyle (2)
Specify the boundary color of the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-elng73

https://wolfram.com/xid/0cf29ghx9hopfb2-byak92

Remove the boundary of the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-b67zq6

https://wolfram.com/xid/0cf29ghx9hopfb2-eitffs

RegionFillingStyle (2)
Specify the filling of the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-ezw8mq

https://wolfram.com/xid/0cf29ghx9hopfb2-bn45bd

Remove the filling for the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-duab7l

https://wolfram.com/xid/0cf29ghx9hopfb2-jvv5g4

RegionFunction (1)
Use a RegionFunction to specify the reference region:

https://wolfram.com/xid/0cf29ghx9hopfb2-jtuskw

https://wolfram.com/xid/0cf29ghx9hopfb2-bvy4ty

VectorAspectRatio (2)
The default aspect ratio for a vector marker is 1/4:

https://wolfram.com/xid/0cf29ghx9hopfb2-hg7upg

https://wolfram.com/xid/0cf29ghx9hopfb2-kpj7r6

Specify the relative width of a vector marker:

https://wolfram.com/xid/0cf29ghx9hopfb2-jj81b

https://wolfram.com/xid/0cf29ghx9hopfb2-9yvc8

VectorColorFunction (1)
By default, if VectorColorFunction is Automatic, then the VectorColorFunction matches the ColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-bho64q

https://wolfram.com/xid/0cf29ghx9hopfb2-ik59n2

Specify a VectorColorFunction that is different from the ColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-bb3bxx

Use no VectorColorFunction:

https://wolfram.com/xid/0cf29ghx9hopfb2-c85ddf

VectorColorFunctionScaling (1)
VectorMarkers (1)
By default, vectors are drawn from points in the reference region to corresponding points in the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-e7u61m

https://wolfram.com/xid/0cf29ghx9hopfb2-xto

Center the markers at the sampled points:

https://wolfram.com/xid/0cf29ghx9hopfb2-cub1ww

Use a named appearance to draw the vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-isnof1

VectorPoints (2)
No vectors are shown by default:

https://wolfram.com/xid/0cf29ghx9hopfb2-nh62y3

https://wolfram.com/xid/0cf29ghx9hopfb2-hb3pqx

Show vectors sampled from the entire original region:

https://wolfram.com/xid/0cf29ghx9hopfb2-n48gsn

Sample vectors from the boundary of the region:

https://wolfram.com/xid/0cf29ghx9hopfb2-ef6g3z

Use symbolic names to specify the density of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-dni8cm

Use symbolic names to specify the arrangement of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-eehbg3

Specify the number of vectors in the and
directions:

https://wolfram.com/xid/0cf29ghx9hopfb2-hqjx0b

Specify a different number of vectors in the and
directions:

https://wolfram.com/xid/0cf29ghx9hopfb2-qp1u2u

Give specific locations for vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-b42i7k

https://wolfram.com/xid/0cf29ghx9hopfb2-fac35g

Along a curve, vectors are equally spaced by default:

https://wolfram.com/xid/0cf29ghx9hopfb2-fexe1q

https://wolfram.com/xid/0cf29ghx9hopfb2-deugni

VectorRange (1)
VectorScaling (1)
By default, vectors extend from points in the reference region to corresponding points in the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-xk1w7

https://wolfram.com/xid/0cf29ghx9hopfb2-jdoo5c

Set all vectors to have the same size:

https://wolfram.com/xid/0cf29ghx9hopfb2-el9tnd

VectorSizes (1)
By default, vectors extend from points in the reference region to corresponding points in the deformed region:

https://wolfram.com/xid/0cf29ghx9hopfb2-d57vr

https://wolfram.com/xid/0cf29ghx9hopfb2-g2bi9y

Specify the range of arrow lengths:

https://wolfram.com/xid/0cf29ghx9hopfb2-l6ukb1

Suppress scaling of the displacement vectors so that a rotation of 45° looks appropriate:

https://wolfram.com/xid/0cf29ghx9hopfb2-b1s6ra

Suppress scaling of the displacement vectors even if no vectors are displayed:

https://wolfram.com/xid/0cf29ghx9hopfb2-esg96u

VectorStyle (1)
VectorColorFunction has precedence over VectorStyle:

https://wolfram.com/xid/0cf29ghx9hopfb2-4u4dl

https://wolfram.com/xid/0cf29ghx9hopfb2-c3ag6q

Applications (17)Sample problems that can be solved with this function
Basic Applications (16)
A constant displacement field moves each point in the reference region by the same amount:

https://wolfram.com/xid/0cf29ghx9hopfb2-dn0lww

https://wolfram.com/xid/0cf29ghx9hopfb2-ig6m4l

Note that the displacements are automatically scaled so that very small and very large displacements are both visible:

https://wolfram.com/xid/0cf29ghx9hopfb2-b87f8r

https://wolfram.com/xid/0cf29ghx9hopfb2-deic81

Use VectorSizesFull to display the actual sizes of displacements:

https://wolfram.com/xid/0cf29ghx9hopfb2-dwy14f

https://wolfram.com/xid/0cf29ghx9hopfb2-ilhz0x

Color is used to indicate the magnitude of the displacements:

https://wolfram.com/xid/0cf29ghx9hopfb2-0whdn

https://wolfram.com/xid/0cf29ghx9hopfb2-f7iwk9

Color the region by a different scalar function:

https://wolfram.com/xid/0cf29ghx9hopfb2-gr5gwg

https://wolfram.com/xid/0cf29ghx9hopfb2-ewpe5n

Use arrows to indicate initial and final locations for a sample points:

https://wolfram.com/xid/0cf29ghx9hopfb2-cmr5c2

https://wolfram.com/xid/0cf29ghx9hopfb2-e48vd1

Visualize a dilation in the direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-bu7i1g

https://wolfram.com/xid/0cf29ghx9hopfb2-62qu2

Visualize a contraction in the direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-ccsn23

https://wolfram.com/xid/0cf29ghx9hopfb2-b3nc3g

Visualize a dilation in the direction and a contraction in the
direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-c3d6h

https://wolfram.com/xid/0cf29ghx9hopfb2-exunor

Visualize a shear in the direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-cj4ymy

https://wolfram.com/xid/0cf29ghx9hopfb2-2gvha

Visualize a shear in the direction:

https://wolfram.com/xid/0cf29ghx9hopfb2-q31cv

https://wolfram.com/xid/0cf29ghx9hopfb2-ioumhq

Visualize a combined shear in the and
directions:

https://wolfram.com/xid/0cf29ghx9hopfb2-po5sk

https://wolfram.com/xid/0cf29ghx9hopfb2-gp7u52

Visualize a rotation about the origin:

https://wolfram.com/xid/0cf29ghx9hopfb2-eovejy

https://wolfram.com/xid/0cf29ghx9hopfb2-igwewz

Combine a rotation, a shear and a dilation:

https://wolfram.com/xid/0cf29ghx9hopfb2-ci68mr

https://wolfram.com/xid/0cf29ghx9hopfb2-d72kc2

Visualize a rotation for points near the origin:

https://wolfram.com/xid/0cf29ghx9hopfb2-g2otwg

https://wolfram.com/xid/0cf29ghx9hopfb2-fwk6rf

Visualize a shear for points near the origin:

https://wolfram.com/xid/0cf29ghx9hopfb2-bc239d

https://wolfram.com/xid/0cf29ghx9hopfb2-fup85t

Solid Mechanics (1)
The left edge of the displayed region is fixed (no displacement) and a uniform horizontal load of 10 kPa is applied the right edge:

https://wolfram.com/xid/0cf29ghx9hopfb2-cdr0i6

Obtain data from a numerical solver of the form {location vector, {displacement vector, Frobenius norm of stress tensor}} assuming that the region is linearly elastic and in plane stress:

https://wolfram.com/xid/0cf29ghx9hopfb2-cp51cg
Use a RegionFunction to properly visualize the deformed region. Note the stresses near the unloaded corners are much higher than the applied load of 10 kPa:

https://wolfram.com/xid/0cf29ghx9hopfb2-d2rzb

Properties & Relations (12)Properties of the function, and connections to other functions
Use ListVectorDisplacementPlot3D to visualize deformations in 3D:

https://wolfram.com/xid/0cf29ghx9hopfb2-g76kz6

https://wolfram.com/xid/0cf29ghx9hopfb2-j0kpic

Use VectorDisplacementPlot to visualize functions:

https://wolfram.com/xid/0cf29ghx9hopfb2-45i5v

Use VectorDisplacementPlot3D to visualize functions in 3D:

https://wolfram.com/xid/0cf29ghx9hopfb2-c0yy1p

Use ListVectorPlot for plotting data:

https://wolfram.com/xid/0cf29ghx9hopfb2-czc8d0

https://wolfram.com/xid/0cf29ghx9hopfb2-bzenb8

Use ListStreamPlot to plot streamlines instead of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-bkssgh

Use StreamPlot to plot with streamlines instead of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-ey0nl

Use VectorDensityPlot to add a density plot of the scalar field:

https://wolfram.com/xid/0cf29ghx9hopfb2-gljrl7

Use ListVectorDensityPlot or ListStreamDensityPlot to add a density plot of a scalar field:

https://wolfram.com/xid/0cf29ghx9hopfb2-dbwex0

https://wolfram.com/xid/0cf29ghx9hopfb2-5gzkq

Use LineIntegralConvolutionPlot to plot the line integral convolution of a vector field:

https://wolfram.com/xid/0cf29ghx9hopfb2-biddpp

Use ListVectorPlot3D or ListStreamPlot3D to visualize vector fields in 3D:

https://wolfram.com/xid/0cf29ghx9hopfb2-d1skfr

https://wolfram.com/xid/0cf29ghx9hopfb2-ii6evm

Use VectorPlot3D and StreamPlot3D to visualize 3D vector fields:

https://wolfram.com/xid/0cf29ghx9hopfb2-hxuyz7

Plot vectors on surfaces with SliceVectorPlot3D:

https://wolfram.com/xid/0cf29ghx9hopfb2-bj6709

Plot complex functions as a vector field:

https://wolfram.com/xid/0cf29ghx9hopfb2-rjlzpk

Use ComplexStreamPlot to plot streamlines instead of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-inms5t

Use GeoVectorPlot to plot vectors on a map:

https://wolfram.com/xid/0cf29ghx9hopfb2-d0ztmc

Use GeoStreamPlot to plot streamlines instead of vectors:

https://wolfram.com/xid/0cf29ghx9hopfb2-eiz6c4

Wolfram Research (2021), ListVectorDisplacementPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html.
Text
Wolfram Research (2021), ListVectorDisplacementPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html.
Wolfram Research (2021), ListVectorDisplacementPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html.
CMS
Wolfram Language. 2021. "ListVectorDisplacementPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html.
Wolfram Language. 2021. "ListVectorDisplacementPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html.
APA
Wolfram Language. (2021). ListVectorDisplacementPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html
Wolfram Language. (2021). ListVectorDisplacementPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html
BibTeX
@misc{reference.wolfram_2025_listvectordisplacementplot, author="Wolfram Research", title="{ListVectorDisplacementPlot}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html}", note=[Accessed: 19-June-2025
]}
BibLaTeX
@online{reference.wolfram_2025_listvectordisplacementplot, organization={Wolfram Research}, title={ListVectorDisplacementPlot}, year={2021}, url={https://reference.wolfram.com/language/ref/ListVectorDisplacementPlot.html}, note=[Accessed: 19-June-2025
]}