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how to calculate the magnitude (module) of a gradient

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Old   October 27, 2011, 09:32
Default how to calculate the magnitude (module) of a gradient
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Goodmorning, I'm working in the frame of phase field models for solidification.
I've to solve a transport equation for the phase field (-1 in one phase,1 in the other one and a smooth passage atthe interface).
The equation i've to solve present the module of the gradient |grad f| (the vector magnitude):

df/dt+V*grad f=a*[ laplacian f+f*(1-f)/b-|grad f| div [ grad f/|grad f|]]
with a,b parameters (or constants).

how can I calculate the |grad f| term when I want to solve the equation?


I tried that way:

1) |grad f| ==== mag(fvc::grad(phase))
where phase is my "f"

2)otherwise I also tried to first define:
volVectorField gradphase = fvc::grad(phase);
and after
|grad f| ==== mag(gradphase)

are they equivalent? or at least, is one correct?

Thank you in advance, I'm quite new in openfoam (and in c++).
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Old   October 28, 2011, 03:33
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ata
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Hi
I think they are equivalent but what is "===="?
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Old   October 28, 2011, 04:43
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Quote:
Originally Posted by ata View Post
Hi
I think they are equivalent but what is "===="?
Sorry , it is just a symbolic way to indicate how I calculate the term,look at it like an arrow if you prefere -->.
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