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{ REPEAT.PDE  

 

 This example illustrates the use of the REPEAT statement to generate

 repetitive structures, and the string facility for creating labels.

 

}  

title 'REPEAT and $string test'  

 

Variables  

   u  

 

definitions  

   a = 1  

  { a list of X-coordinates: }

   xc=array(1/3, 2/3, 3/3, 4/3, 5/3)  

  { a list of Y-coordinates: }  

   yc=array(1/3, 2/3, 3/3, 4/3, 5/3)  

 

   rad = 0.1 { radius of circular dots }  

   s = 0  

 

equations  

   U: div(a*grad(u)) + s  = 0;      

 

boundaries  

  region 1  

      start(0,0)  

          value(u)=0  

      line to (2,0) to (2,2) to (0,2) to close  

  region 2  

       a = 0.05  

       s = 4*magnitude(x-1,y-1)  

      repeat i=1 to 5                   { an indexed loop on X-position }  

          repeat j=1 to 5               { an indexed loop on Y-position }  

              { an array of circular dots at the tabulated coordinates }  

              start "Loop"+$i+$j (xc[i]+rad,yc[j]) {construct loop name using string conversion }  

              arc(center=xc[i],yc[j]) angle=360  

          endrepeat  

      endrepeat  

 

monitors  

  contour(u)  

 

plots  

  contour(u) painted  

  surface(u)  

  surface(s) as "Source"  

      repeat i=1 to 5  

          repeat j=1 to 5  

              elevation(u) on 'loop'+$i+$(j)  

          endrepeat  

      endrepeat  

 

end