Index

Condition on Global Field

Ver: 1
 

DESCRIPTION

The Thompson transformation is an elliptic remeshing technique. The remeshing follows a definition of what is termed a 'global field'. The global field, g(x), should define a unique mapping between g and x (here, x is the coordinate x,y,z). Obviously, g is a vector field which has the same number of components than the coordinate field. Furthermore, it is intended that the g-field maps the remeshing domain into a simple geometric object (e.g., a square or rectangle).

The global field itself is defined by:

—
2 g(x) = 0 where the user is obliged to impose boundary conditions on g(x). The remeshing is the solution for nodal coordinates which satisfies the above equation for g(x) with the appropriate boundary conditions on x.

Incomplete entries are marked by '!'. The user must specify information for all such entries before exiting to an upper level menu.

  OPTIONS
 
-1 
 Upper level menu
This checks the entered information, gives a preview of the remeshing technique, and exits to an upper level menu
i' 
 G undefined along Boundary j / subdomain j
This option allows to constraint a component of the g-field along this boundary/subdomain
i" 
 Gk = -.1000000E+01 along Boundary j / subdomain j
This item shows the current constraint on the g-field along this boundary/subdomain and allows to modify it
EXAMPLES To set the condition on Boundary 4, select option 4 in the following menu :
To modify the condition on Boundary 2, select option 2 in the following menu :
Condition on Global Field
 
-1 - Upper level menu (enter -1)
1 - G1 = -.1000000E+01 along Boundary 1 (enter 1)
2 - G1 = -.1000000E+01 along Boundary 2 (enter 2)
3 - G2 = .1000000E+01 along Boundary 3 (enter 3)
! 4 - G undefined along Boundary 4 (enter 4)
! 5 - G undefined along Boundary 5 (enter 5)

In the next menu, enter the desired information.
 

  SEE ALSO
  • remeshing_technique
    •