ESS227
Prof. Jin-Yi Yu
Stream Function
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For horizontal motion that is non-divergent (∂u/∂x
+∂v/∂y = 0), the flow field can be represented by a
streamfunction ψ (x, y) defined so that the
velocity
components are given as
•
u = −∂ψ/∂y,
•
v = +∂ψ/∂x.
•
•
The vorticity is then given by