ListVectorPlot3D

ListVectorPlot3D[array]

generates a 3D vector plot from a 3D array of vector field values.

ListVectorPlot3D[{data1,data2,…}]

plots data for several vector fields.

Details and Options

Examples

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Basic Examples  (4)

Plot the vector field interpolated from a specified set of vectors:

Plot the vector field from data specifying coordinates and vectors:

Include a legend showing the vector magnitudes:

Use tube segments as markers to represent the vectors:

Scope  (15)

Sampling  (6)

Plot vectors for a regular collection of vectors and give a data range for the domain:

Explicitly set the number of vectors in each direction:

Plot two vector fields:

Plot vectors over a specified region:

Plot a vector field with vectors placed with specified densities:

Plot a field with arrows placed at random locations:

Plot the vectors that go through a set of seed points:

Presentation  (9)

Plot a vector field with arrows scaled according to their magnitudes:

Use a single color for the arrows:

Plot with 3D arrows:

Color and scale the vectors based on the norm of the field:

Plot a vector field with arrows of specified size:

Vary the arrowhead size:

Use legends for multiple datasets:

Use a highly stylized theme:

Use a log scale in the z direction:

Options  (70)

BoxRatios  (2)

By default, BoxRatios is set to Automatic:

Make the height appear twice the width and length:

DataRange  (1)

By default, the data range is taken to be the index range of the data array:

Specify the data range for the domain:

EvaluationMonitor  (1)

Count how many times the vector field interpolating function is evaluated:

PerformanceGoal  (2)

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

PlotLegends  (4)

Use legends for color gradients:

Use legends for multiple datasets:

Use SwatchLegend to change the legend's appearance:

Use Placed to put legends above the plot:

PlotRange  (9)

The full plot range is used by default:

Use all points to compute the range:

Specify an explicit limit for , , and ranges:

Specify an explicit range:

Specify an explicit minimum range:

Specify an explicit range:

Specify an explicit maximum range:

Specify an explicit range:

Specify different , , and ranges:

PlotRangePadding  (8)

Padding is computed automatically by default:

Specify no padding for all , , and ranges:

Specify an explicit padding for all , , and ranges:

Add 10% padding to all , , and ranges:

Specify padding for and ranges:

Specify different padding for , , and ranges:

Specify padding for the range:

Use different padding forms for each dimension:

PlotTheme  (2)

Use a theme with dense vector points:

Change the color scheme:

RegionBoundaryStyle  (5)

Show the region defined by a region function:

Use None to not show the boundary:

Specify a style for the boundary:

The boundaries of full rectangular regions are not shown:

Specify a style for full rectangular regions:

RegionFunction  (3)

Plot vectors only over certain quadrants:

Plot vectors only over regions where the field magnitude is above a given threshold:

Use any logical combination of conditions:

ScalingFunctions  (2)

By default, linear scales are used:

Reverse the direction of the z direction:

VectorAspectRatio  (2)

Change arrowhead sizes:

Use scaled sizes:

VectorColorFunction  (4)

Color the vectors according to their norm:

Use any named color gradient from ColorData:

Color the vectors according to their value:

Use VectorColorFunctionScaling->False to get unscaled values:

VectorColorFunctionScaling  (4)

By default, scaled values are used:

Use VectorColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the direction and scaled coordinates in the direction:

Explicitly specify the scaling for each color function argument:

VectorMarkers  (3)

By default, 3D arrows are used:

Use other named markers:

Use Placed to control the arrow placement relative to the vector points:

VectorPoints  (8)

Use automatically determined vector points:

Use named VectorPoints settings:

Use symbolic names to specify the set of field vectors:

Create a regular grid of field vectors with the same number of arrows for , , and :

Create a regular grid of field vectors with a different number of arrows for , , and :

Specify a list of points for showing field vectors:

Use a different number of field vectors on a packed grid:

The location for vectors is given in the middle of the drawn vector:

VectorRange  (4)

The clipping of vectors with very small or very large magnitudes is done automatically:

Specify the range of vector norms:

Suppress the clipped vectors:

Show all the vectors:

VectorScaling  (2)

Use an automatically determined vector scale:

With the vector scaling function set to None, all vectors have the same size:

VectorSizes  (2)

The sizes of the displayed vector is determined automatically:

Specify the range of arrow lengths:

VectorStyle  (2)

VectorColorFunction has precedence over colors in VectorStyle:

Use VectorColorFunctionNone to specify colors with VectorStyle:

Applications  (2)

Use a contour plot to visualize the region of a vector plot:

Plot a vector field over a particular region:

Create a contour plot of the vector plot's region:

Combine the vector and contour plots:

Plot the vector field in a spherical region:

Add an inner sphere:

Properties & Relations  (12)

Use VectorPlot3D to visualize functions:

Use StreamPlot3D to visualize functions with streamlines instead of vectors:

Plot vectors along surfaces with ListSliceVectorPlot3D:

Use ListStreamPlot3D to plot a 3D field as streamlines:

Use ListVectorPlot for plotting 2D vectors:

Use ListStreamPlot to plot with streamlines instead of vectors:

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

Use ListStreamDensityPlot to plot streams instead of vectors:

Use VectorDisplacementPlot to visualize the effect of a displacement vector field on a specified region:

Use ListVectorDisplacementPlot to visualize the effect of displacement field data on a region:

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

Use VectorDisplacementPlot3D to visualize the effect of a displacement vector field on a specified 3D region:

Use ListVectorDisplacementPlot3D to visualize the effect of a 3D displacement vector field based on data:

Use GeoVectorPlot to plot vectors on a map:

Use GeoStreamPlot to use streams instead of vectors:

Wolfram Research (2008), ListVectorPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListVectorPlot3D.html (updated 2022).

Text

Wolfram Research (2008), ListVectorPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListVectorPlot3D.html (updated 2022).

CMS

Wolfram Language. 2008. "ListVectorPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/ListVectorPlot3D.html.

APA

Wolfram Language. (2008). ListVectorPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListVectorPlot3D.html

BibTeX

@misc{reference.wolfram_2022_listvectorplot3d, author="Wolfram Research", title="{ListVectorPlot3D}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/ListVectorPlot3D.html}", note=[Accessed: 08-February-2023 ]}

BibLaTeX

@online{reference.wolfram_2022_listvectorplot3d, organization={Wolfram Research}, title={ListVectorPlot3D}, year={2022}, url={https://reference.wolfram.com/language/ref/ListVectorPlot3D.html}, note=[Accessed: 08-February-2023 ]}