Classical Diffusion Theory And Simulation Codes

Cover Classical Diffusion Theory And Simulation Codes
Classical Diffusion Theory And Simulation Codes
Harold Grad
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[19]). It is only in the absence of 8B/8t (and with •13- p = p(4^), T == T(i>), etc. ) that mass flow can be described in terms of surface to surface transport. The overdetermination introduced by including 8B/3t and a formula for mass trans- port is removed by including only part of Ohm's law. There is no simplification associated with this ad hoc procedure, since the correct treatment of velocity (mass flow) by the GH algorithms is at least as simple and is more accurate.
2 The large discrepa
...nce between K PS "classical" mass transport and the correct classical GH mass transport in the presence of time varying fields has been calculated [12] . The same remarks, of course, apply to Neoclassical transport which does not yet include transient fields correctly (except in some special calculations such as the Ware pinch) .
There is also occasional misunderstanding that the use of averaged transport is necessarily a rough approximation to the correct procedure; under appropriate circumstances (as here described), it is exact with no loss of information as demonstrated by the theory of the GDE .


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