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<< Click to Display Table of Contents >> two-way_periodic |
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{ TWO-WAY_PERIODIC.PDE
This example shows the use of FlexPDE in 2D applications with two-way periodic boundaries.
}
title 'TWO-WAY PERIODIC BOUNDARY TEST'
variables u
definitions k = 1 h=0 x0=0.4 x1=0.9 { right box x-coordinates } x2=-0.5 x3=0.0 { left box x-coordinates } y0=-0.7 y1 = -0.3 {y-coordinates for both boxes }
equations u : div(K*grad(u)) + h = 0
boundaries region 1
{ Periodic bottom boundary } start(-1,-1) periodic(x,y+2) line to (1,-1) |
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{ Periodic right boundary }
periodic(x-2,y) arc(center=-1,0) to (1,1)
{ Image of periodic bottom boundary }
line to (-1,1)
{ Image of periodic right boundary }
arc(center= -3,0) to close
{ off-center hot box }
start(x0,y0)
value(u)=1 line to (x1,y0) to (x1,y1) to (x0,y1) to close
{ off-center cold box }
start(x2,y0)
value(u)=-1 line to (x3,y0) to (x3,y1) to (x2,y1) to close
monitors
grid(x,y)
contour(u)
plots
grid(x,y)
contour(u)
end
