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arXiv · 0909.0239

Divorticity and Dihelicity In Two-Dimensional Hydrodynamics

B. K. Shivamoggi·G. J. F. van Heijst·J. Juul Rasmussen
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Abstract

A framework is developed based on the concepts of {\it divorticity} ${\textbf B}$($\equiv\nabla\times\bfo$, $\bfo$ being the vorticity) and $\textit{dihelicity} g \lp \equiv\bfv\cdot\textbf{B}\rp$ for discussing the theoretical structure underlying two-dimensional (2D) hydrodynamics. This formulation leads to the global and Lagrange invariants that could impose significant constraints on the evolution of divorticity lines in 2D hydrodynamics.

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BibTeXRIS

B. K. Shivamoggi, G. J. F. van Heijst, J. Juul Rasmussen. 2009-09-01. Divorticity and Dihelicity In Two-Dimensional Hydrodynamics. https://doi.org/10.1016/j.physleta.2010.03.062

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