Cylindrical Geometry

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In addition to two-dimensional Cartesian geometry, FlexPDE can solve problems in axisymmetric cylindrical coordinates, (r,z) or (z,r).

Cylindrical coordinates are invoked in the COORDINATES section of the script. Two forms are available, XCYLINDER and YCYLINDER. The distinction between the two is merely in the orientation of the graphical displays.

•	XCYLINDER places the rotation axis of the cylinder, the Z coordinate, along the abscissa (or "x"-axis) of the plot, with radius along the ordinate.

•	YCYLINDER places the rotation axis of the cylinder, the Z coordinate, along the ordinate (or "y" axis) of the plot, with axial extension along the abscissa.

Either form may optionally be followed by a parenthesized renaming of the coordinates. In either case, the names are (abscissa, ordinate). The defaults are

XCYLINDER implies XCYLINDER('Z','R').

YCYLINDER implies YCYLINDER('R','Z').