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Energy conservation properties of Ritter solution for idealized dam break flow

Author(s): Benjamin Dewals; Martin Bruwier; Sébastien Erpicum; Michel Pirotton; Pierre Archambeau

Linked Author(s): Benjamin J. Dewals, Martin Bruwier, Michel Pirotton, pierre archambeau

Keywords: Dam break flow; energy conservation; mechanical energy; specific energy; unsteady Bernoulli equation

Abstract: We examine different aspects of energy conservation in the case of the analytical solution of Ritter for idealized dam break flow in a horizontal frictionless and dry channel. We detail the application of the unsteady Bernoulli equation in this case and highlight that the inertial effects cancel out when averaged over the whole flow region. We also show that the potential and kinetic contributions to the total mechanical energy in the flow region have a distinct and constant relative importance: potential energy accounts for 60%, and kinetic energy for 40% of the total mechanical energy. These properties of Ritter solution are rarely emphasized while they may be of practical relevance, particularly for the verification of numerical schemes with respect to their ability to ensure energy conservation.

DOI: https://doi.org/10.1080/00221686.2016.1175522

Year: 2016

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