HYPIN Version 1.1

Authors: Stuart Rogers, Steve Nash

Description:

This program generates a spacing function used in computing a volume grid, and writes it to a file. Given the maximum distance from the initial surface, the program computes the number of grid points and the spacing function. The number of grid points is guaranteed to be 4*n + 1 so the grid will be usable for 3 levels of multigrid.

Three different types of spacing control are available:

Constant stretching ratio=srmax from zero to zmax;

Example Usage:

         hypin -wallsp 1.e-6 \
               -zmax 10.0 \
               -srmax 1.25 \
               -fname zetastr.i

The spacing function will have initial spacing equal to wallsp, and will increase at a constant stretching ratio = srmax until either a distance of z1 has been reached, or until the spacing is greater than or equal to dz1. In the latter case the spacing is then held equal to dz1 until a distance of z1 is reached. From distance z2 to zmax the spacing will increase at a constant stretching ratio = srmax.
Example Usage:
```
         hypin -wallsp .00004 \
               -z1 1.0 \
               -dz1 .08 \
               -zmax 10.0 \
               -srmax 1.25 \
               -fname zetastr.i
       
```

The spacing function will have initial spacing equal to wallsp, and will increase at a constant stretching ratio = srmax until either a distance of z1 has been reached, or until the spacing is greater than or equal to dz1. In the latter case the spacing is then held equal to dz1 until a distance of z1 is reached. From distance z1 to z2 the spacing will change at a constant stretching ratio from a spacing of dz1 to dz2. From distance z2 to zmax the spacing will increase at a constant stretching ratio = srmax.

Example Usage:

         hypin -wallsp .00004 \
               -z1 1.189 \
               -dz1 .0793 \
               -z2 5.153 \
               -dz2 .300 \
               -zmax 13.8733 \
               -srmax 1.25 \
               -fname zetastr.i

Usage: hypin -zmax ZMAX

             [-wallsp WALLSP]
             [-z1 Z1 -dz1 DZ1]
             [-z2 Z2 [-dz2 DZ2]]
             [-srmax SRMAX]
             [-o FNAME]
Where:
             WALLSP is the initial spacing [1.0 e-6]
             Z1	    is the distance to the end of the
               	      region with uniform spacing [0.0]
             DZ1    is the spacing in the uniform 
                       region between the wall and Z1
             Z2     is a distance greater than Z1
             DZ2    is the spacing at Z2 [5.*DZ1]
             SRMAX  is the max streching ratio [1.25]
             FNAME  is the output filename [zetastr.i]

Last modified: Wed Apr 1 16:15:30 1998