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StreamPlot
✖
StreamPlot

✖
StreamPlot[{vx,vy},{x,xmin,xmax},{y,ymin,ymax}]

generates a stream plot of the vector field {vx,vy} as a function of x and y.

✖
StreamPlot[{{vx,vy},{wx,wy},…},{x,xmin,xmax},{y,ymin,ymax}]

generates plots of several vector fields.

✖
StreamPlot[…,{x,y}∈reg]

takes the variables {x,y} to be in the geometric region reg.

Details and Options

Examples

open allclose all

Basic Examples  (4)Summary of the most common use cases

Plot the streamlines with arrows for the field :

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-6ecz4
Out[1]=1

Include a legend for the field magnitude:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bmstgm
Out[1]=1

Visualize streamlines as unbroken lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cu6ahh
Out[1]=1

Use a multi-panel layout to show multiple vector fields at the same time:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-l9ya4w
Out[1]=1

Scope  (22)Survey of the scope of standard use cases

Sampling  (10)

Plot a vector field with streamlines placed with specified densities:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-7qn6u
Out[1]=1

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

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jij5my
Out[1]=1

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-b7j71p
Out[1]=1

Plot streamlines over a specified region:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-d0yqwq
Out[1]=1

Plot multiple vector fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-j8n2d
Out[1]=1

Use a specific number of mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hh1mw9
Out[1]=1

Specify specific mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cqfgqu
Out[1]=1

Use Evaluate to evaluate the vector field symbolically before numeric assignment:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bopqp
Out[1]=1

The domain may be specified by a region:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jjt810
Out[1]=1

The domain may be specified by a MeshRegion:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-gmpd4s
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-c3cup
Out[2]=2

Presentation  (12)

Specify different dashings and arrowheads by setting to StreamScale:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-clm2ar
Out[1]=1

Plot the streamlines with arrows colored according to the magnitude of the field:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-lxtywd
Out[1]=1

Apply a variety of streamline styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-chsm29
Out[1]=1

Use a theme with axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hkkg08
Out[1]=1

Override the style from the theme:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-l3tsbu
Out[2]=2

Use a named appearance to draw the streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-p0ai7v
Out[1]=1

Style the streamlines as well:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-sr3wki
Out[2]=2

Specify mesh lines with different styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cnvbj8
Out[1]=1

Specify global mesh line styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jtrlqa
Out[1]=1

Shade mesh regions cyclically:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-keor6x
Out[1]=1

Apply a variety of styles to region boundaries:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-eql62k
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-ddzw1w
Out[2]=2

Show multiple functions as densities in separate panels:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-e892at
Out[1]=1

Use a column instead of a row:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-5oqxrh
Out[2]=2

Add a legend with placeholder text:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-f0tkd3
Out[1]=1

Use the vector fields as legend labels:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-sha9xf
Out[2]=2

Use explicit labels for each vector field:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-gqcps
Out[3]=3

Use a log scale for the x axis:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-nvp776
Out[1]=1

Reverse the y scale so it increases toward the bottom:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-nq43yb
Out[2]=2

Options  (97)Common values & functionality for each option

AspectRatio  (3)

By default, StreamPlot uses the same width and height:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-2wnaz
Out[1]=1

Use numerical value to specify the height to width ratio:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ivmob2
Out[1]=1

AspectRatioAutomatic determines the ratio from the plot ranges:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-wig3b
Out[1]=1

Axes  (4)

By default, StreamPlot uses a frame instead of axes:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-o4vwep
Out[2]=2

Use axes instead of a frame:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-f0rtfs
Out[1]=1

Use AxesOrigin to specify where the axes intersect:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-wvnfh
Out[1]=1

Turn each axis on individually:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cr5osl
Out[1]=1

AxesLabel  (3)

No axes labels are drawn by default:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-fsyd4s
Out[1]=1

Place a label on the axis:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-fqlqn7
Out[1]=1

Specify axes labels:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-dn2836
Out[1]=1

AxesOrigin  (2)

The position of the axes is determined automatically:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bgwipp
Out[1]=1

Specify an explicit origin for the axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-es5yz9
Out[1]=1

AxesStyle  (4)

Change the style for the axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-clfapj
Out[1]=1

Specify the style of each axis:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-dcjgi0
Out[1]=1

Use different styles for the ticks and the axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-oc4x2
Out[1]=1

Use different styles for the labels and the axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-k4ux0m
Out[1]=1

Background  (1)

Use colored backgrounds:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-j42nfz
Out[1]=1

EvaluationMonitor  (2)

Show where the vector field function is sampled:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-d44k4t
Out[1]=1

Count the number of times the vector field function is evaluated:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jdyqd
Out[1]=1

ImageSize  (5)

Use named sizes such as Tiny, Small, Medium and Large:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bshj6s
Out[1]=1

Specify the width of the plot:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-0u56v
Out[1]=1

Specify the height of the plot:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-e0mlvm
Out[2]=2

Allow the width and height to be up to a certain size:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hejdfq
Out[1]=1

Specify the width and height for a graphic, padding with space if necessary:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-n88bih
Out[1]=1

Use maximum sizes for the width and height:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-foayh7
Out[1]=1

Mesh  (5)

By default, no mesh lines are displayed:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-fz9yor
Out[1]=1

Show the final sampling mesh:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-epvess
Out[1]=1

Use a specific number of mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bcrlm1
Out[1]=1

Specify mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-6cm2r
Out[1]=1

Use different styles for different mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-flkpak
Out[1]=1

MeshFunctions  (3)

By default, mesh lines correspond to the magnitude of the field:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jxopx8
Out[1]=1

Use the value as the mesh function:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-lgt8et
Out[1]=1

Use mesh lines corresponding to fixed distances from the origin:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-xdo85
Out[1]=1

MeshShading  (3)

Use None to remove regions:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bide6y
Out[1]=1

Styles are used cyclically:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-gpj4w9
Out[1]=1

Use indexed colors from ColorData cyclically:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jcjlm1
Out[1]=1

MeshStyle  (1)

Apply a variety of styles to the mesh lines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cyyyoq
Out[1]=1

PerformanceGoal  (2)

Generate a higher-quality plot:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ehkr8l
Out[1]=1

Emphasize performance, possibly at the cost of quality:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cf6mf3
Out[1]=1

PlotLayout  (2)

Place each group of vectors in a separate panel using shared axes:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bagtom
Out[1]=1

Use a row instead of a column:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-zprwk
Out[2]=2

Use multiple columns or rows:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-l6wlc
Out[1]=1

Prefer full columns or rows:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-buwa6i
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-zyd7ty
Out[3]=3

PlotLegends  (6)

No legends are included by default:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-j0f9l
Out[2]=2

Include a legend to show the color range of field norms:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-barkt2
Out[1]=1

Control the placement of the legend:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-o02be
Out[1]=1

Include a legend for multiple fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jt6ern
Out[1]=1

Use the vector fields as the legend text:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-67y6yi
Out[1]=1

Use placeholder text:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-juwo48
Out[2]=2

Change the appearance of the legend:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-6eyzmt
Out[1]=1

PlotRange  (5)

The full plot range is used by default:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-e5htpa
Out[1]=1

Specify an explicit limit for both and ranges:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-iujowz
Out[1]=1

Specify an explicit range:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-6mhl8
Out[1]=1

Specify an explicit range:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-f1b74a
Out[1]=1

Specify different and ranges:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-eji1ea
Out[1]=1

PlotTheme  (2)

Use a theme with simpler ticks and brighter colors:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-5n2hqi
Out[1]=1

Use a theme with dense streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hzyuml
Out[1]=1

Change the stream styles:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-lmjrmm
Out[2]=2

RegionBoundaryStyle  (2)

By default, region boundaries are styled:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-d71lux
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-iqa4dy
Out[2]=2

Show no boundaries and filling:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-ej8974
Out[3]=3

Apply a variety of styles to region boundaries:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cn01ca
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-h59y62
Out[2]=2

RegionFillingStyle  (1)

By default, region filling is styled:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-67yn7x
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-c3wge5
Out[2]=2

Show no filling:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-ws8kuo
Out[3]=3

RegionFunction  (3)

Plot streamlines only over certain quadrants:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-lreixu
Out[1]=1

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

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bkix
Out[1]=1

Use any logical combination of conditions:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-dpb90h
Out[1]=1

ScalingFunctions  (2)

Use a log scale for the x axis:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-370rn4
Out[1]=1

Reverse the y scale so it increases toward the bottom:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-7rdsjm
Out[1]=1

StreamColorFunction  (5)

By default, color streamlines according to the norm of the vector field:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-iyab08
Out[1]=1

Use any named color gradient from ColorData:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-lwbt19
Out[1]=1

Use ColorData for predefined color gradients:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-b0ziqt
Out[1]=1

Specify a color function that blends two colors by the coordinate:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-k3l2kw
Out[1]=1

Use StreamColorFunctionScaling->False to get unscaled values:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-f8l1ay
Out[1]=1

StreamColorFunctionScaling  (4)

By default, scaled values are used:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-0ejaf
Out[1]=1

Use StreamColorFunctionScaling->False to get unscaled values:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-sjac2
Out[1]=1

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

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-0sp29
Out[1]=1

Explicitly specify the scaling for each color function argument:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bz784y
Out[1]=1

StreamMarkers  (7)

Streamlines are drawn as arrows by default:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-iotyiw
Out[1]=1

Use a named appearance to draw the streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-3nlq60
Out[1]=1

Use different markers for different vector fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-0a7bnv
Out[1]=1

Named arrow styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-n6w4bp
Out[1]=1

Named dot styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-e3naeq
Out[1]=1

Named pointer styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cd1dv1
Out[1]=1

Named dart styles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-chhxew
Out[1]=1

StreamPoints  (6)

Specify a specific maximum number of streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-i7b93e
Out[1]=1

Use symbolic names to specify the number of streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ds9v41
Out[1]=1

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-fsmovw
Out[1]=1

Specify the minimum distance between streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bz90au
Out[1]=1

Specify the minimum distance between streamlines at the start and end of a streamline:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-dbewgl
Out[1]=1

Control the maximum length that each streamline can have:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-l83fpl
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-cgddtx
Out[2]=2

StreamScale  (9)

Create full streamlines without segmentation:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bc37a7
Out[1]=1

Use curves for streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-sz8q9
Out[1]=1

Use symbolic names to control the lengths of streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cxjcuf
Out[1]=1

Specify segment lengths:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ivlqsk
Out[1]=1

Specify an explicit dashing pattern for streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-f8h5gk
Out[1]=1

Specify the number of points rendered on each streamline segment:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hm4qdn
Out[1]=1

Specify absolute aspect ratios relative to the longest line segment:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cs2kci
Out[1]=1

Specify relative aspect ratios relative to each line segment:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-mtha1
Out[1]=1

Scale the length of the arrows by the coordinate:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ivdls
Out[1]=1

StreamStyle  (5)

StreamColorFunction has precedence over colors specified in StreamStyle:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-b1kdtm
Out[1]=1

Set StreamColorFunctionNone to specify colors with StreamStyle:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ogsx6
Out[1]=1

Apply a variety of styles to the streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-c8d4ni
Out[1]=1

Specify a custom arrowhead:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bk9kto
Out[1]=1

Set the style for multiple vector fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-dmgwqo
Out[1]=1

Applications  (16)Sample problems that can be solved with this function

Streamlines for the gradient field of over the unit square:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cck7l
Out[1]=1

Streamlines for the Hamiltonian vector field of :

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-mtheew
Out[1]=1

Global attractor of damped conservative system:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-emp8wp
Out[1]=1

Combine several examples into a tabbed view:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-jk975x
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-fvyvq1

Mouse over the tabs to get a description of the vector field:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-ebtf4d
Out[3]=3

Quadratic system with two limit cycles:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ca61ft
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-ebq0cm
Out[2]=2

Van der Pol oscillator:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bvfcxe
Out[1]=1

Characterize linear planar systems interactively:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-mfjfc
Out[1]=1

Use a stream plot as a background for an interactive differential equation solution plotter:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-e3ktf7
Out[1]=1

Unfolding a double zero eigenvalue:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-88mn2
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-jhuz5s
Out[2]=2

Rotating pendulum:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-fhbgrl
Out[1]=1

A two-parameter potential:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-gh2hvl
Out[1]=1

Generate a list of rasterized stream plots for animation:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-kkxlc7
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-c0v9rw
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-dt3mdl

Animating a list of rasters instead of the original vector graphics may reduce memory usage:

In[4]:=4
✖
https://wolfram.com/xid/0tzjz4bm-bl6bto
Out[4]=4

Create an animation that shifts the streamline colors in the direction of the vector norms:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-nfuqh
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-c4hsui
Out[2]=2

Explore various streamline styles and scales with several examples:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-eqazq
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-o8o2dp

Generate icons to graphically represent field choices:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-bweqiu

Click on the field icons to switch field plots:

In[4]:=4
✖
https://wolfram.com/xid/0tzjz4bm-dvr743
Out[4]=4

Generate a list of stream plots of varying :

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-cd33u4
Out[1]=1

Stack 2D stream plots in 3D:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-gj05be
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-h2l4xe
Out[3]=3

Specify the geometry for a fluid flow:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bfv3fz
Out[1]=1

Specify the boundary conditions for a flow that enters at the left-hand channel and exits through the two right-hand channels:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-iudowl

Define the Navier–Stokes equations:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-f0xpz5

Use the finite element method to solve for the steady flow velocities and pressure:

In[4]:=4
✖
https://wolfram.com/xid/0tzjz4bm-cmnqzj

Use DensityPlot to plot the pressure and StreamPlot to plot the flow:

In[5]:=5
✖
https://wolfram.com/xid/0tzjz4bm-et85g
Out[5]=5

Properties & Relations  (11)Properties of the function, and connections to other functions

Use ListStreamPlot for plotting data:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-czc8d0
In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-bzenb8
Out[2]=2

Use VectorPlot to plot with vectors instead of streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ey0nl
Out[1]=1

Use ListVectorPlot to generate a plot based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-bfis2b
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-cxcobn
Out[3]=3

Use StreamPlot3D to plot streamlines of 3D vector fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-t0ahe2
Out[1]=1

Use ListStreamPlot3D to plot streamlines based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-gl4xt
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-d6zdbw
Out[3]=3

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

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-gljrl7
Out[1]=1

Use VectorDensityPlot to plot vectors instead of streamlines:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-eibcuo
Out[2]=2

Use ListStreamDensityPlot to generate a plot based on data:

In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-dxkap5
In[4]:=4
✖
https://wolfram.com/xid/0tzjz4bm-ce1qjd
Out[4]=4

Use ListVectorDensityPlot to plot arrows instead of streamlines:

In[5]:=5
✖
https://wolfram.com/xid/0tzjz4bm-cd8ldh
Out[5]=5

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

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-biddpp
Out[1]=1

Use VectorDisplacementPlot to visualize the deformation of a region associated with a displacement vector field:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-bmfpco
Out[1]=1

Use ListVectorDisplacementPlot to visualize the same deformation based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-hv6sr
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-gx4rw8
Out[3]=3

Use VectorPlot3D to visualize 3D vector fields:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-hxuyz7
Out[1]=1

Use ListVectorPlot3D to generate a plot based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-7q4vr
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-yf9vx
Out[3]=3

Plot vectors on surfaces with SliceVectorPlot3D:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-ckcmzh
Out[1]=1

Plot vectors based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-capi8x
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-igx3ee
Out[3]=3

Use VectorDisplacementPlot3D to visualize the deformation of a 3D region associated with a displacement vector field:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-001n1
Out[1]=1

Use ListVectorDisplacementPlot3D to visualize the same deformation based on data:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-bb0b1i
In[3]:=3
✖
https://wolfram.com/xid/0tzjz4bm-dtudy
Out[3]=3

Plot a complex function as a vector field using streamlines:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-rjlzpk
Out[1]=1

Use vectors instead of streamlines:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-ep2ztc
Out[2]=2

Use GeoVectorPlot to plot vectors on a map:

In[1]:=1
✖
https://wolfram.com/xid/0tzjz4bm-d0ztmc
Out[1]=1

Use GeoStreamPlot to plot streamlines instead of vectors:

In[2]:=2
✖
https://wolfram.com/xid/0tzjz4bm-d065t4
Out[2]=2
Wolfram Research (2008), StreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/StreamPlot.html (updated 2022).
✖
Wolfram Research (2008), StreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/StreamPlot.html (updated 2022).

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_streamplot, author="Wolfram Research", title="{StreamPlot}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/StreamPlot.html}", note=[Accessed: 27-March-2025 ]}

✖
@misc{reference.wolfram_2025_streamplot, author="Wolfram Research", title="{StreamPlot}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/StreamPlot.html}", note=[Accessed: 27-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_streamplot, organization={Wolfram Research}, title={StreamPlot}, year={2022}, url={https://reference.wolfram.com/language/ref/StreamPlot.html}, note=[Accessed: 27-March-2025 ]}

✖
@online{reference.wolfram_2025_streamplot, organization={Wolfram Research}, title={StreamPlot}, year={2022}, url={https://reference.wolfram.com/language/ref/StreamPlot.html}, note=[Accessed: 27-March-2025 ]}