Divorticity and dihelicity in two-dimensional hydrodynamics

B.K. Shivamoggi; G.J.F. van Heijst; J. Juul Rasmussen

doi:10.1016/j.physleta.2010.03.062

Divorticity and dihelicity in two-dimensional hydrodynamics

B.K. Shivamoggi, G.J.F. van Heijst, J. Juul Rasmussen

Fluids and Flows

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

Abstract

A framework is developed based on the concepts of divorticity B (≡ ∇ × ω, ω being the vorticity) and dihelicity g(≡ v ṡ B) 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.

Original language	English
Pages (from-to)	2309-2311
Number of pages	3
Journal	Physics Letters A
Volume	374
Issue number	23
DOIs	https://doi.org/10.1016/j.physleta.2010.03.062
Publication status	Published - 10 May 2010

Bibliographical note

Funding Information:
The authors are thankful to Drs. Evgenii Kuznetsov, David Montgomery and Koji Ohkitani for their helpful comments. B.K.S. would like to thank The Netherlands Organization for Scientific Research (NWO) for the financial support. This work was also partly supported by the Danish Research Council for Natural Sciences .

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10.1016/j.physleta.2010.03.062

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AU - Rasmussen, J. Juul

N1 - Funding Information: The authors are thankful to Drs. Evgenii Kuznetsov, David Montgomery and Koji Ohkitani for their helpful comments. B.K.S. would like to thank The Netherlands Organization for Scientific Research (NWO) for the financial support. This work was also partly supported by the Danish Research Council for Natural Sciences .

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N2 - A framework is developed based on the concepts of divorticity B (≡ ∇ × ω, ω being the vorticity) and dihelicity g(≡ v ṡ B) 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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Divorticity and dihelicity in two-dimensional hydrodynamics

Abstract

Bibliographical note

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