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ListStreamDensityPlot—Wolfram Language Documentation

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• See Also
  • ListStreamPlot
  • ListStreamPlot3D
  • ListVectorDensityPlot
  • ListLineIntegralConvolutionPlot
  • StreamDensityPlot
  • ListDensityPlot
  • ListContourPlot
  • ListVectorPlot3D
  • ListSliceVectorPlot3D
  • ListDensityPlot3D
  • ListSliceDensityPlot3D
• Related Guides
  • Vector Visualization

ListStreamDensityPlot[varr]

generates a stream density plot from an array varr of vector and scalar field values {{vx_ij,vy_ij},r_ij}.

ListStreamDensityPlot[{{{x₁,y₁},{{vx₁,vy₁},r₁}},…}]

generates a stream density plot from vector and scalar field values {{vx_i,vy_i},r_i} given at specified points {x_i,y_i}.

• ListStreamDensityPlot generates a stream plot of the vector field, superimposed on a background density plot of the scalar field.
• ListStreamDensityPlot plots streamlines defined by and where is an interpolated function of the vector data and is an initial stream point. The streamline is the curve passing through point , and whose tangents correspond to the vector field at each point.
• The streamlines are drawn over a density plot of the scalar field , whose default value is the magnitude of the vector field.
• The streamlines are colored by default according to the magnitude of the vector field and have an arrow in the direction of increasing value of .
• ListStreamDensityPlot interpolates the data into vector function and scalar function .
• For regular data, the vector field has value varr〚i,j,1〛 and the scalar field has value varr〚i,j,2〛 at .
• For irregular data, the vector field has value {vx_i,vy_i} and the scalar field has value r_iat .
• 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[varr] 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: [List of all options]
• The arguments supplied to functions in MeshFunctions, RegionFunction, ColorFunction, and StreamColorFunction are x, y, v_x, v_y, r.
• The default setting MeshFunctions->{#5&} draws mesh lines for the scalar field r.
• Possible settings for ScalingFunctions are:
• {s_x,s_y} scale x and y axes
• Common built-in scaling functions s include:

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

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

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

Plot streamlines for an irregular collection of vectors:

Use an explicit scalar field on a regular collection of vectors:

Use an explicit scalar field on an irregular collection of vectors:

Plot streamlines for two vector fields with the background based on the norm of the first:

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:

Use a specific number of mesh lines:

Specify specific mesh lines:

Give a data range for the domain:

Use a different set of colors for the scalar field:

Specify different dashings and arrowheads by setting to StreamScale:

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

Apply a variety of streamline markers:

Use a theme with simpler ticks and brighter colors:

Use a named appearance to draw the streamlines:

Style the streamlines as well:

Style streamlines for multiple vector fields:

Specify mesh lines with different styles:

Specify global mesh line styles:

Shade mesh regions cyclically:

Apply a variety of styles to region boundaries:

Reverse the direction of the y axis:

Color the field magnitude using Hue:

Color using Hue based on :

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 ColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use ColorFunctionScaling->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:

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

Specify the data range for the domain:

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

Refine the plot where it changes quickly:

By default, no mesh lines are displayed:

Show the final sampling mesh:

Use a specific number of mesh lines:

Specify mesh lines:

Use different styles for different mesh lines:

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

Use the value as the mesh function:

Use mesh lines corresponding to fixed distances from the origin:

Use None to remove regions:

Styles are used cyclically:

Use indexed colors from ColorData cyclically:

Apply a variety of styles to the mesh lines:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

Include a legend for the scalar field:

Place the legend below the plot:

The full plot range is used by default:

Specify an explicit limit for both and ranges:

Specify an explicit range:

Specify an explicit range:

Specify different and ranges:

Plot a vector field using monochrome colors:

Use white streamlines instead of black:

Show the region being plotted:

Style the boundary:

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:

By default, linear scales are used:

Use a log scale in the y direction:

Reverse the direction of the y direction:

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:

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:

Streamlines are drawn as arrows by default:

Use a named appearance to draw the streamlines:

Use different markers for different vector fields:

Use named styles:

Named arrow styles:

Named dot styles:

Named pointer styles:

Named dart styles:

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:

Control the maximum length that each streamline can have:

Create full streamlines without segmentation:

Use curves for streamlines:

Use symbolic names to control the lengths of streamlines:

Specify segment lengths:

Specify an explicit dashing pattern for streamlines:

Specify the 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:

Scale the length of the arrows by the coordinate:

Characterize linear planar systems interactively:

Visualize the first horizontal and vertical Gaussian derivatives of an image:

Combine the vertical and horizontal Gaussian derivatives:

Compute wind velocity from given coordinates:

Filter unavailable data:

Outline of the United States:

Wind velocity and pressure over the United States:

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