The AxisymmetricMapper maps the 2D function defined in the RZ-coordinates to Cartesian coordinates. However, Cherab does not currently have a function to map a 3D function defined in cylindrical coordinates to Cartesian coordinates. CylindricalMapper should fill this gap. The function being mapped is considered to be specified in the interval [0, 2π) in polar angle.
3D plasma simulation in tokamaks is often done for a toroidal sector, assuming periodicity in the toroidal direction. To map the results of such simulations to a full torus, a periodic mapper is needed. For generality, periodic mappers can be defined for 1D, 2D and 3D functions:
PeriodicMapper1D(function1d, period)
PeriodicMapper2D(function2d, period_x, period_y)
PeriodicMapper3D(function3d, period_x, period_y, period_z)
Here it is assumed that functions being mapped are defined in [0, period) intervals. period=None means no periodicity in a given direction.
Then, to map a function defined in cylindrical coordinates on a 20° toroidal sector, the user can do:
CylindricalMapper(PeriodicMapper3D(function, None, np.pi / 9, None))
This can be extended on vector functions as well.
The
AxisymmetricMappermaps the 2D function defined in the RZ-coordinates to Cartesian coordinates. However, Cherab does not currently have a function to map a 3D function defined in cylindrical coordinates to Cartesian coordinates.CylindricalMappershould fill this gap. The function being mapped is considered to be specified in the interval [0, 2π) in polar angle.3D plasma simulation in tokamaks is often done for a toroidal sector, assuming periodicity in the toroidal direction. To map the results of such simulations to a full torus, a periodic mapper is needed. For generality, periodic mappers can be defined for 1D, 2D and 3D functions:
Here it is assumed that functions being mapped are defined in [0, period) intervals.
period=Nonemeans no periodicity in a given direction.Then, to map a function defined in cylindrical coordinates on a 20° toroidal sector, the user can do:
This can be extended on vector functions as well.