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• W2113545909 abstract "Experimentalists now measure intense rotations of Lagrangian particles in turbulent flows by tracking their trajectories and Lagrangian-average velocity gradients at high Reynolds numbers. This paper formulates the dynamics of an orthonormal frame attached to each Lagrangian fluid particle undergoing three-axis rotations, by using quaternions in combination with Ertel's theorem for frozen-in vorticity. The method is applicable to a wide range of Lagrangian flows including the three-dimensional Euler equations and its variants such as ideal MHD. The applicability of the quaterionic frame description to Lagrangian averaged velocity gradient dynamics is also demonstrated." @default.
• W2113545909 created "2016-06-24" @default.
• W2113545909 creator A5059930044 @default.
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• W2113545909 date "2007-06-12" @default.
• W2113545909 modified "2023-09-27" @default.
• W2113545909 title "Lagrangian particle paths and ortho-normal quaternion frames" @default.
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• W2113545909 doi "https://doi.org/10.1088/0951-7715/20/7/010" @default.
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