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In hyperbolic regions, where the predominant effect
of velocity gradients is the stretching,
using the incompressibility
and defining
 |
(A.12) |
the matrix
can be diagonalized as
 |
(A.13) |
where
 |
(A.14) |
and the eigenvectors matrix
is
 |
(A.15) |
The exponential matrix is thus valued as
 |
(A.16) |
Stefano Musacchio
2004-01-09