StreamPlot
StreamPlot[{vx,vy},{x,xmin,xmax},{y,ymin,ymax}]
generates a stream plot of the vector field {vx,vy} as a function of x and y.
StreamPlot[{{vx,vy},{wx,wy},…},{x,xmin,xmax},{y,ymin,ymax}]
generates plots of several vector fields.
StreamPlot[…,{x,y}∈reg]
takes the variables {x,y} to be in the geometric region reg.
Details and Options
- StreamPlot plots streamlines that show the local direction of the vector field at each point.
- StreamPlot by default shows enough streamlines to achieve a roughly uniform density throughout the plot, and shows no background scalar field.
- StreamPlot does not show streamlines at any positions for which the vi etc. do not evaluate to real numbers.
- StreamPlot treats the variables x and y as local, effectively using Block.
- StreamPlot 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.
- StreamPlot 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 StreamColorFunction None how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction StreamMarkers Automatic shape to use for streams StreamPoints Automatic determine number, placement, and closeness of streamlines StreamScale Automatic determine sizes and segmenting of individual streamlines StreamStyle Automatic how to draw streamlines WorkingPrecision MachinePrecision precision to use in internal computations - The arguments supplied to functions in RegionFunction and StreamColorFunction are x, y, vx, vy, Norm[{vx,vy}].
Introduced in 2008
Updated in 2018
(7.0)
|
(11.3)