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Unformatted text preview: . We cannot take a difference across a cell interface if there is a discontinuity in
the diffusion coefficient, because the normal component of the scalar flux gradient will be discontinuous
across the interface. Thus we add a scalar flux unknown at the interface, take a difference to the left of
the interface, take a difference to the right of the interface, and equate the associated normal
components of the currents obtain first the interface scalar flux and then the interface current.
( ) ( (1a) ) (1b) Equating the two, we get
( ) ( ) () Substituting from Eq. (2) into...
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- Fall '10