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Coordinate System Designation.

The GF Library includes three coordinate systems: rectangular, cylindrical, and spherical. The numbering system has letters to denote coordinates in each coordinate system, and one letter is needed to indicate each coordinate present. Thus, a one-dimensional body designation contains one letter; a 2-D body designation contains two letters, and, a 3-D body designation contains three letters.


Rectangular coordinate system (x, y, z). Symbol X is used to denote the x-coordinate, Y denotes the y-coordinate, and Z denotes the z-coordinate. Example: a 1-D plate with type 2 boundaries is designated X22.


Cylindrical coordinate system (r,$ \phi$, x). Symbol R is used to denote the r-coordinate, symbol $ \Phi$ denotes angle $ \phi$ ( 0 < $ \phi$ < 2$ \pi$), and symbol X denotes the axial x-coordinate. Example: 1-D radial heat transfer in a hollow cylindrical shell with both surfaces convectively heated is designated R33.


Spherical (polar) coordinate system (r,$ \phi$,$ \theta$). Symbol RS is used to denote the spherical r-coordinate, symbol $ \Phi$ denotes azimuthal angle $ \phi$ ( 0 < $ \phi$ < 2$ \pi$), and symbol $ \Theta$ denotes the polar angle $ \theta$ ( 0 < $ \theta$ < $ \pi$). Example: 1-D radial heat transfer in a hollow sphere with type 1 boundary conditions is designated RS11.
next up previous
Next: Boundary Condition Designation. Up: GF Numbering System. Previous: GF Numbering System.
Kevin D. Cole
2003-07-21