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1D equation in 2D simulation

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Old   May 11, 2011, 10:08
Default 1D equation in 2D simulation
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Robert Sawko
Join Date: Mar 2009
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AlmostSurelyRob will become famous soon enough
Dear All,

I am wondering if it's possible to include a solution of a 1D equation in a higher dimensional simulation. Symbolically the problem I am trying to solve is this:

F( \theta(x,y) ) = \lambda(x)
G(\lambda(x)) = 0

Where \theta, \lambda are scalar fields I want to obtain, F, G operators, x,y coordinates.

I am trying so solve a periodic problem with heat and the second equation describes the gradient of bulk temperature in each cross-section. (the gradient is not constant in my case)

I would be very grateful for your comments.
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