porous

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porous

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{  POROUS.PDE  

 

 This problem describes the flow through an anisotropic porous foundation.

 It is taken from Zienkiewicz, "The Finite Element Method in Engineering Science",

 p. 305.

 

}

 

title 'Anisotropic Porous flow'

 

variables

 pressure

 

definitions

 ky = 1

 kx = 4

 

equations

 pressure : dx(kx*dx(pressure)) + dy(ky*dy(pressure)) = 0

 

boundaries

region 1

    start(0,0)

      natural(pressure)=0 line to (5,0) to (5,5)

      value(pressure)=0   line to (2,2)

      natural(pressure)=0 line to (2.5,2) to (2.5,1.95) to (1.95,1.95)

      value(pressure)=100 line to close

monitors

contour(pressure)

plots

contour(pressure)

surface(pressure)

end