BUILT-IN MATHEMATICA SYMBOL

ListStreamDensityPlot

ListStreamDensityPlot[array]
generates a stream density plot from a 2D array of vector and scalar field values .

ListStreamDensityPlot[{{{x1, y1}, {{vx1, vy1}, s1}}, ...}]
generates a stream density plot from vector and scalar field values given at specified points .

ListStreamDensityPlot[{data1, data2, ...}]
plots data for several vector and scalar fields.

Details and OptionsDetails and Options

• ListStreamDensityPlot generates a stream plot of the vector field, superimposed on a background density plot of the scalar field.
• If no scalar field values are given, they are taken to be the norm of the vector field.
• ListStreamDensityPlot plots streamlines that show the local direction of the vector field at every point.
• ListStreamDensityPlot[array] arranges successive rows of array up the page and successive columns across.
• ListStreamDensityPlot by default interpolates the data given and shows enough streamlines to achieve a roughly uniform density throughout the plot.
• ListStreamDensityPlot has the same options as Graphics, with the following additions and changes:
•  AspectRatio 1 ratio of height to width BoundaryStyle None how to draw RegionFunction boundaries BoxRatios Automatic effective 3D box ratios for simulated lighting 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 EvaluationMonitor None expression to evaluate at every function evaluation Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks LightingAngle None effective angle for simulated lighting MaxRecursion Automatic the maximum number of recursive subdivisions allowed for the scalar field Mesh None how many mesh lines to draw in the background MeshFunctions {#5&} how to determine the placement of mesh lines MeshShading None how to shade regions between 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 PlotRange {Full,Full} range of x, y values to include PlotRangePadding Automatic how much to pad the range of values RegionFunction True& determine what region to include StreamColorFunction None how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction 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 MeshFunctions, RegionFunction, ColorFunction, and StreamColorFunction are x, y, , , s.
• The default setting MeshFunctions->{#5&} draws mesh lines for the scalar field s.

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Plot streamlines and background computed from the interpolation of a specified set of vectors:

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Plot the streamlines and background from data specifying coordinates and vectors:

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