ListStreamPlot
ListStreamPlot[array]
generates a stream plot from an array of vector field values.
ListStreamPlot[{{{x1,y1},{vx1,vy1}},…}]
generates a stream plot from vector field values {vxi,vyi} given at specified points {xi,yi}.
ListStreamPlot[{data1,data2,…}]
plots data for several vector fields.
Details and Options


- ListStreamPlot[array] arranges successive rows of array up the page, and successive columns across.
- ListStreamPlot plots streamlines that show the local direction of the vector field at every point.
- ListStreamPlot by default interpolates the data given and shows enough streamlines to achieve a roughly uniform density throughout the plot.
- ListStreamPlot has the same options as Graphics, with the following additions and changes:
-
AspectRatio 1 ratio of height to width DataRange Automatic the range of x and y values to assume for data EvaluationMonitor None expression to evaluate at every function evaluation Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize 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 StreamColorFunction Automatic how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction StreamMarkers Automatic shape to use for streams StreamPoints Automatic determine number, placement, and closeness of streamlines StreamScale Automatic determine sizes and segmenting of individual streamlines StreamStyle Automatic how to draw streamlines WorkingPrecision MachinePrecision precision to use in internal computations - The arguments supplied to functions in RegionFunction and StreamColorFunction are x, y, vx, vy, Norm[{vx,vy}].

Examples
open allclose allBasic Examples (2)
Scope (21)
Sampling (9)
Plot streamlines for a regular collection of vectors, and give a data range for the domain:
Plot streamlines for an irregular collection of vectors:
Plot streamlines for several vector fields:
Plot a vector field with streamlines placed with specified densities:
Plot the streamlines that go through a set of seed points:
Use both automatic and explicit seeding with styles for explicitly seeded streamlines:
Plot streamlines over a specified region:
Presentation (12)
Specify different dashings and arrowheads by settings to StreamScale:
Streamlines with arrows are colored by default according to the magnitude of the field:
Apply a variety of streamline styles:
Style streamlines for multiple vector fields:
Use a named appearance to draw the streamlines:
Style the streamlines as well:
Plot vectors and streamlines together:
Specify mesh lines with different styles:
Specify global mesh line styles:
Shade mesh regions cyclically:
Apply a variety of styles to region boundaries:
Options (79)
DataRange (1)
Mesh (5)
MeshFunctions (3)
MeshShading (3)
PerformanceGoal (2)
PlotRange (7)
PlotLegends (5)
Use legends for multiple datasets:
Use SwatchLegend to add an overall legend label:
Legends automatically pick up styles and shapes:
Use a legend for the color function:
Use Placed to put legends above the plot:
RegionBoundaryStyle (3)
RegionFillingStyle (3)
RegionFunction (3)
StreamColorFunction (5)
By default, color streamlines according to the norm of the vector field:
Use any named color gradient from ColorData:
Use ColorData for predefined color gradients:
Specify a color function that blends two colors by the coordinate:
Use StreamColorFunctionScaling->False to get unscaled values:
StreamColorFunctionScaling (4)
By default, scaled values are used:
Use StreamColorFunctionScaling->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:
StreamMarkers (8)
StreamPoints (6)
Specify a maximum number of streamlines:
Use symbolic names to specify the number of streamlines:
Use both automatic and explicit seeding with styles for explicitly seeded streamlines:
Specify the minimum distance between streamlines:
Specify the minimum distance between streamlines at the start and end of a streamline:
StreamScale (9)
Create full streamlines without segmentation:
Use symbolic names to control the lengths of streamlines:
Specify an explicit dashing pattern for streamlines:
Specify number of points rendered on each streamline segment:
Specify absolute aspect ratios relative to the longest line segment:
Specify relative aspect ratios relative to each line segment:
StreamStyle (5)
StreamColorFunction has precedence over colors specified in StreamStyle:
Set StreamColorFunctionNone to specify colors with StreamStyle:
Applications (5)
Global attractor of damped conservative system:
Visualize the first horizontal and vertical Gaussian derivatives of an image:
Combine the vertical and horizontal Gaussian derivatives:
Compute wind velocity from given coordinates:
Organize several datasets into a tabbed view:
Explore various streamline styles and scales with several examples:
Properties & Relations (8)
Use StreamPlot for plotting functions:
Use ListVectorPlot for plotting data without a density plot of the scalar field:
Use ListStreamDensityPlot for plotting data with a density plot of the scalar field:
Use StreamDensityPlot to plot functions with a density plot of the scalar field:
Use VectorPlot to plot functions with vectors instead of streamlines:
Use ListLineIntegralConvolutionPlot to plot the line integral convolution of vector field data:
Use ListVectorPlot3D to visualize 3D vector field data:
Use GeoStreamPlot to plot streams on a map:
Text
Wolfram Research (2008), ListStreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ListStreamPlot.html (updated 2020).
BibTeX
BibLaTeX
CMS
Wolfram Language. 2008. "ListStreamPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/ListStreamPlot.html.
APA
Wolfram Language. (2008). ListStreamPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListStreamPlot.html