NAME

       mkgeo_ball - unstructured mesh of an ellipsoid (rheolef-7.1)

SYNOPSIS

       mkgeo_ball [options] [n]

EXAMPLE

       mkgeo_ball -t 10 | geo -

       The previous command build a triangle based 2d unstructured mesh of the unit ball

DESCRIPTION

       This command is useful when testing programs on simple geometries. Invocation is similar to those of
       mkgeo_grid(1) . It calls gmsh as unstructured mesh generator. It avoid the preparation of an input file
       for a mesh generator. The optional n argument is an integer that specifies the subdivision in each
       direction. By default n=10. The mesh files goes on standard output.

THE MESH ORDER

       -order int

           The polynomial approximation mesh order, for the curved boundary, as defined by gmsh. Default is
           order=1.

ELEMENT TYPE OPTION

       -e

           1d mesh using edges.

       -t

           2d mesh using triangles.

       -q

           2d mesh using quadrangles (rectangles).

       -T

           3d mesh using tetrahedra.

       -P

           3d mesh using prisms.

       -H

           3d mesh using hexahedra.

       -tq

           2d mesh using both triangles and quadrangles.

       -TP
       -PH
       -TPH

           3d mixed mesh combining tetrahedra, prisms and/or hexahedra.

THE GEOMETRY

       -a float
       -b float
       -c float
       -d float
       -f float
       -g float

           The geometry can be ellipse/ellipsoid inscribed in the [a,b]x[c,d] rectangle or the [a,b]x[c,d]x[f,g]
           parallelepiped. By default a=c=f=-1 and b=d=g=1, thus, the unit balls are considered.

       -s

           Only a surface mesh is generated: a curved line in 2d or a curved surface mesh in 3d. In 3d, supports
           both '-t' and '-q' options.

BOUNDARY DOMAINS

       The meshes defines a domain named boundary that groups all boundary sides.

OTHERS OPTIONS

       -[no]fix

           By default, internal face and volume node from gmsh are recomputed, since they have incorrect
           coordinate that destroy the convergence properties of isoparametric high order elements (order >= 3).
           The -nofix option skip this correction: this option is available for test purpose.

       -[no]clean

           Clear temporary files (this is the default).

       -[no]verbose

           Print intermediate commands and information messages.

IMPLEMENTATION

       This documentation has been generated from file main/sbin/mkgeo_ball.sh

AUTHOR

       Pierre  Saramito  <Pierre.Saramito@imag.fr>

COPYRIGHT

       Copyright   (C)  2000-2018  Pierre  Saramito  <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL version 3 or
       later  <http://gnu.org/licenses/gpl.html>.  This  is  free  software:  you  are free to change and
       redistribute it.  There is NO WARRANTY, to the extent permitted by law.

Version 7.1                                      Sun Oct 31 2021                            mkgeo_ball(1rheolef)