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Calculation of

The instantaneous flow Jacobian J measures the rate of contraction or expansion of a parcel of fluid [30],

and is evaluated following the departure point calculations. From the definition of the velocity divergence [31], we have

Substituting from the continuity equation then gives,

where the Jacobian is calculated so that at the departure point is identically unity.



Balasubramany (Balu) Nadiga
1/8/1998