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