The relationship between Eulerian and Lagrangian coordinate systems is studied with the help of computer plots. A universal curve relating the spatial derivatives of particle displacement in the two systems acts as a basis for identifying such phenomena as shock and cavitation. Examples are given which illustrate the differences in the shape of a traveling wave as seen by observers in the two systems.
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Papers| December 01 1978
Examination of Eulerian and Lagrangian coordinate systems
Am. J. Phys. 46, 1228–1235 (1978)
Wilfred J. Remillard; Examination of Eulerian and Lagrangian coordinate systems. Am. J. Phys. 1 December 1978; 46 (12): 1228–1235. https://doi.org/10.1119/1.11384
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