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Curl(
vector, [varlist], [mode]
)
vector
This is defined by the mode parameter as cartesian coordinates (mode=0), cylindrical coordinates (mode=1) or spherical coordinates (mode=2).
[varlist]
This parameter is optional and when not defined uses the following values.
mode=0 : [x, y, z]
mode=1 : [r, Φ, z]
mode=2 : [r, θ, Φ]
When other variables are used these have to be declared in the varlist as
[ var1 , var2 , var3 , ...]
.
[mode]
The default value is 0.
Description
Returns the curl of a vector field.
This is normally denoted as
Curl(F) = ∇ x F
Examples
Curl([x/y, y/z, z/x])
Curl([t^2/u, u*v, v+t], [t, u, v])
Curl([x*exp(z), y^2/(x*z), cos(z)])
References
http://mathworld.wolfram.com/Curl.html
http://en.wikipedia.org/wiki/Curl_(mathematics)
Related Functions
Divergence
,
Duf
,
Hessian
,
Jacobian
,
Laplacian
,
SurfaceNormal
,
Gradient
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Computing
