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Vector Visualization
Mathematica provides state-of-the-art fully automated visualization of vector functions and data—suitable for representing flows, field lines and other vector fields of any complexity.
Featured Examples |
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Automatically Place Streamlines
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Control the Location of Streamlines
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Do High-Resolution Vector Visualization
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Plot Field Vectors at Random Positions
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Plot Field Vectors in 3D
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Plot Field Vectors in a Spherical Shell
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Plot Field Vectors on a Regular Grid
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Plot Streamlines on Any Region
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Plot Streamlines with a Density Background
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Plot the Density and Mesh and Overlay Streamlines
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Seed Streamlines on a Regular Grid
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Show the Divergence as a Background Density
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Show the Gradient Field on a Surface
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Specify Location and Length of Streamlines
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Use Any Graphic for Line Integral Convolutions
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Use Simulated Lighting for the Background Density
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Visualize Vector Fields Using Line Integral Convolutions
Reference
Stream Visualization
StreamPlot — make a stream plot from a vector field function
ListStreamPlot — make a stream plot from vector field data
LineIntegralConvolutionPlot ▪ ListLineIntegralConvolutionPlot
Vector Visualization
VectorPlot — plot vectors from a vector field function
ListVectorPlot — plot vectors from vector field data
Vector + Scalar Visualization
StreamDensityPlot — superimpose plots of vector and scalar field functions
ListStreamDensityPlot — superimpose plots of vector and scalar field data
VectorDensityPlot ▪ ListVectorDensityPlot
3D Vector Visualization
VectorPlot3D ▪ ListVectorPlot3D
Options
StreamPoints, VectorPoints — number or placement of streamlines, vectors
StreamScale, VectorScale — scale and size of streamlines, vectors
ColorFunction, Mesh, MeshFunctions — coloring, meshing, contouring, etc. for scalars
