Built-in Mathematica Symbol

ListVectorDensityPlot

ListVectorDensityPlot[array]
generates a vector plot from a 2D array of vector and scalar field values {{vx_ij, vy_ij}, s_ij}.

ListVectorDensityPlot[{{{x₁, y₁}, {{vx₁, vy₁}, s₁}}, ...}]
generates a vector plot from vector and scalar field values {{vx_i, vy_i}, s_i} given at specified points {x_i, y_i}.

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

MORE INFORMATION

ListVectorDensityPlot generates a vector 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.

ListVectorDensityPlot[array] arranges successive rows of array up the page, and successive columns across.

ListVectorDensityPlot by default interpolates the data given, and plots vectors for the vector field at a regular grid of positions.

With the setting VectorPoints->All, ListVectorDensityPlot instead shows vectors associated with the particular vector field data points given.

ListVectorDensityPlot 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
VectorColorFunction	None	how to color vectors
VectorColorFunctionScaling	True	whether to scale the arguments to VectorColorFunction
VectorPoints	Automatic	the number or placement of vectors to plot
VectorScale	Automatic	the scale and size of vectors to plot
VectorStyle	Automatic	how to draw vectors
WorkingPrecision	MachinePrecision	precision to use in internal computations