Tabular_Surfaces
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tabular_surfaces00
{ TABULAR_SURFACES.PDE
This problem demonstrates the use of tabular input and regional definition
for 3D extrusion surfaces.
}


title 'tabular surface definition'

coordinates
cartesian3

variables
Tp

definitions
long = 1
wide = 1
K = 1
Q = 10*exp(-x^2-y^2-z^2)

z1 = table('surf.tbl')   { read the table file for surface 1 definition }
z2         { use regional parameters for surface 2 definition }

initial values
Tp = 0.

equations
div[k*grad(Tp)] + Q = 0

extrusion z = z1,z2 { define two surfaces from previously declared parameters }

boundaries
surface 1 value(Tp)=0
surface 2 value(Tp)=0

Region 1
z2 = 1      { default surface 2 over total domain }
start(-wide,-wide)
value(Tp) = 0
line to (wide,-wide)
to (wide,wide)
to (-wide,wide)
to close

Region 2
z2 = 1 + x/2   { override surface 2 definition in region 2 }   
start(-wide,-wide)
line to (0,-wide)
to (0,wide)
to (-wide,wide)
to close

monitors
grid(x,z) on y=0

plots
grid(x,z) on y=0
contour(Tp) on y=0 as "ZX Temp"
contour(Tp) on x=0 as "YZ Temp"

end