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{ 3D_DIELECTRIC.PDE
This problem is a 3D extension of DIELECTRIC.PDE
}
title
'Electrostatic Potential'
coordinates
cartesian3
variables
V
definitions
eps = 1
equations
div(eps*grad(V)) = 0 { Potential equation }
extrusion
surface "bottom" z=0
surface "dielectric_bottom" z=0.1
layer "dielectric"
surface "dielectric_top" z=0.2
surface "top" z=0.3
boundaries
surface "bottom" natural(V)=0
surface "top" natural(V)=0
region 1
start (0,0)
value(V) = 0 line to (1,0)
natural(V) = 0 line to (1,1)
value(V) = 100 line to (0,1)
natural(V) = 0 line to close
region 2
layer "dielectric" eps = 50
start (0.4,0.4)
line to (0.8,0.4) to (0.8,0.8) to (0.6,0.8)
to (0.6,0.6) to (0.4,0.6) to close
monitors
contour(V) on z=0.15 as 'Potential'
plots
contour(V) on z=0.15 as 'Potential'
vector(-dx(V),-dy(V)) on z=0.15 as 'Electric Field'
contour(V) on x=0.5 as 'Potential'
end