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{ SINE_BOUNDARY_3D.PDE
This example is a modification of SINE_BOUNDARY.PDE into 3D.
}
title 'Sine Boundary 3D'
coordinates cartesian3
variables u
definitions
k = 1
bottom = -1
initial values u=1
equations
U: div(K*grad(u)) + 4 = 0
extrusion z = 0,1
boundaries
Region 1
start(-1,bottom)
value(u)=0
line to (10,bottom)
natural(u)=0
line to (10,2)
value(u)=1
{ create a boundary segment that follows the equation
y = cos(pi*x)+1, and start moving in the -X direction. }
curve (y = cos(pi*x)+1) by (-x) to (-1,0)
natural(u)=0
line to close
plots
grid(x,y) on z=1/2
contour(u) on z=1/2
surface(u) on z=1/2
elevation(u) from(-1,0,1/2) to (1,0,1/2)
end