VectorPlot
VectorPlot[{vx,vy},{x,xmin,xmax},{y,ymin,ymax}]
generates a vector plot of the vector field {vx,vy} as a function of x and y.
VectorPlot[{{vx,vy},{wx,wy},…},{x,xmin,xmax},{y,ymin,ymax}]
plots several vector fields.
VectorPlot[…,{x,y}∈reg]
takes the variables {x,y} to be in the geometric region reg.
Details and Options
- VectorPlot by default shows vectors from the vector field at a regular grid of positions.
- VectorPlot omits any vectors for which the vi etc. do not evaluate to real numbers.
- VectorPlot treats the variables x and y as local, effectively using Block.
- VectorPlot has attribute HoldAll, and evaluates the vi etc. only after assigning specific numerical values to x and y.
- In some cases it may be more efficient to use Evaluate to evaluate the vi etc. symbolically before specific numerical values are assigned to x and y.
- VectorPlot has the same options as Graphics, with the following additions and changes:
-
AspectRatio 1 ratio of height to width EvaluationMonitor None expression to evaluate at every function evaluation Frame True whether to draw a frame around the plot FrameTicks Automatic frame tick marks Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends to include PlotRange {Full,Full} range of x, y values to include PlotRangePadding Automatic how much to pad the range of values PlotTheme $PlotTheme overall theme for the plot RegionFunction True& determine what region to include VectorColorFunction None how to color vectors VectorColorFunctionScaling True whether to scale the argument to VectorColorFunction VectorMarkers Automatic shape to use for vectors 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 - The arguments supplied to functions in RegionFunction and VectorColorFunction are x, y, vx, vy, Norm[{vx,vy}].
Introduced in 2008
Updated in 2018
(7.0)
|
(11.3)