3d_dielectric

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3d_dielectric

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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