GF Numbering System.

The GF are identified by a compact ``number'' to identify the coordinate system, the boundary condition type, and the body shape. The numbering system is an essential part of the organization of the GF Library, and a familiarity with the numbering system will be important for serious users of the GF Library. Briefly, a GF designation under this numbering system contains letters to identify each coordinate involved, and numerals to indicate the type of boundary conditions present. Given a number, the body shape may be deduced from the coordinate system and from the boundaries present. For example, a 1-D flat plate with both boundaries of type 1 has designation X11; the X stands for the Cartesian coordinate and the two numbers represent the boundary conditions. An overview of the numbering system for GF is given below. The numbering system was developed for transient heat conduction, so that the ``default'' equation type is the Heat equation. For a unique designation, specify the equation (Heat, Laplace, or Helmholtz) along with the ``number''. A more detailed numbering system exists for temperature solutions to heat conduction problems, including details of boundary conditions, initial conditions, and volume energy generation; for more information see Beck (1986) and Beck et al. (1992)