The Wolfram Language 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.

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 — plot vectors from a 3D vector field function

ListVectorPlot3D — plot vectors from a 3D vector field data

SliceVectorPlot3D — plot vectors on a slice surface

ListSliceVectorPlot3D — plot vectors on a slice surface

Options

StreamPoints, VectorPoints — number or placement of streamlines, vectors

StreamScale, VectorScale — scale and size of streamlines, vectors

StreamStyle, VectorStyle — color and style of streamlines, vectors

StreamMarkers, VectorMarkers — general shape of streamlines, vectors

ColorFunction, Mesh, MeshFunctions — coloring, meshing, contouring, etc. for scalars

StreamColorFunction  ▪  VectorColorFunction  ▪  RegionFunction