IAHR, founded in 1935, is a worldwide independent member-based organisation of engineers and water specialists working in fields related to the hydro-environmental sciences and their practical application. Activities range from river and maritime hydraulics to water resources development and eco-hydraulics, through to ice engineering, hydroinformatics, and hydraulic machinery.
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You are here : eLibrary : IAHR World Congress Proceedings : 36th Congress - The Hague (2015) ALL CONTENT : Water engineering : The use of symplectic time integrators in hydroinformatics
The use of symplectic time integrators in hydroinformatics
Author : D. VIOLEAU(1,2), C. PEYRARD(1,2) & E. DOMBRE(1,2)
ABSTRACT
The time integration of hydroinformatic systems can be done through many ways, including explicit, semi-explicit or
implicit methods of various orders. A specific class of numerical integrators has been recently brought to the attention of
the scientific community: symplectic integrators. They are relevant in case of Hamiltonian systems, i.e. mechanical
systems which can be written in terms of the Hamilton dynamic equations. Symplectic schemes ensure that the total
energy is preserved in spite of the approximations due to the time discretization. In case of dissipative systems, the
consequence is that the amount of lost energy is correct, in other words that the time marching scheme is not
responsible for artificial energy dissipation. This has important consequences on the long-term consistency of the
numerical predictions for many practical hydraulic systems. Examples are provided here, namely: 1) mass oscillations in
a surge tank, 2) oscillations of a rigid body anchored with a spring and 3) free oscillations of a floating device.
File Size : 530,156 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 36th Congress - The Hague (2015) ALL CONTENT
Article : Water engineering
Date Published : 19/08/2015
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