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u_f , u, are these two the same?
Hi guys,
Wonderful day! While Im digging into fvc::reconstruct(), after lots of effort, I made a little progress, Now Im confusing that:  namely:  Is this rite? Only by this I can get the same equation as fvc::reconstruct(). |
Can you add some linenumbers of relevant files? u and u_f are definitely not the same, as one would be a surface field and the other a volume field.
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Quote:
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Sorry, so late!
![\begin{array}{l}
\sum {{n_f}\left( {{S_f} \cdot u} \right) = } \sum {{n_f}\left( {{S_f} \cdot {u_f}} \right)} \\
\sum {\left[ {\left( {{n_F} \otimes {S_f}} \right) \cdot u} \right]} = \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} \left( {{S_f} \cdot {u_f}} \right)\\
\sum {\left[ {\left( {\frac{{{S_f}}}{{\left| {{S_f}} \right|}} \otimes {S_f}} \right) \cdot u} \right]} = \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} {\phi _f}\\
u = \underbrace {{{\left\{ {\sum {\left[ {\left( {\frac{{{S_f}}}{{\left| {{S_f}} \right|}} \otimes {S_f}} \right)} \right]} } \right\}}^{ - 1}} \cdot \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} {\phi _f}}_{weller's\;fvc::reconstruct()}
\end{array}](/Forums/vbLatex/img/9171c370aa2ed49aa048c8ec288100b1-1.gif "\begin{array}{l}
\sum {{n_f}\left( {{S_f} \cdot u} \right) = } \sum {{n_f}\left( {{S_f} \cdot {u_f}} \right)} \\
\sum {\left[ {\left( {{n_F} \otimes {S_f}} \right) \cdot u} \right]} = \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} \left( {{S_f} \cdot {u_f}} \right)\\
\sum {\left[ {\left( {\frac{{{S_f}}}{{\left| {{S_f}} \right|}} \otimes {S_f}} \right) \cdot u} \right]} = \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} {\phi _f}\\
u = \underbrace {{{\left\{ {\sum {\left[ {\left( {\frac{{{S_f}}}{{\left| {{S_f}} \right|}} \otimes {S_f}} \right)} \right]} } \right\}}^{ - 1}} \cdot \sum {\frac{{{S_f}}}{{\left| {{S_f}} \right|}}} {\phi _f}}_{weller's\;fvc::reconstruct()}
\end{array}") this might be clear. Any ideas? |
any ideas?
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