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Practical use of Hamilton's principle (1983)

Salmon, Rick

Cambridge University Press

In: Journal of Fluid Mechanics. 1983; 132: 431-444. Published 1983 Jul 01. doi: 10.1017/s0022112083001706.

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Publication Date: 1983-07-01

Description: Hamilton's principle of mechanics has special advantages as the beginning point for approximations. First, it is extremely succinct. Secondly, it easily accommodates moving disconnecting fluid boundaries. Thirdly, approximations-however strong-that maintain the symmetries of the Hamiltonian will automatically preserve the corresponding conservation laws. For example, Hamilton’s principle allows useful analytical and numerical approximations to the equations governing the motion of a homogeneous rotating fluid with free boundaries. © 1983, Cambridge University Press. All rights reserved.

Print ISSN: 0022-1120

Electronic ISSN: 1469-7645

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics

Published by Cambridge University Press

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