An energy conserving well-balanced scheme for the shallow water equations

Touma, R.; Reiss, J.; Sesterhenn, J.

An energy conserving well-balanced scheme for the shallow water equations

Touma, R.; Reiss, J.; Sesterhenn, J.

URI: http://hdl.handle.net/10725/8441

URL: https://aip.scitation.org/doi/abs/10.1063/1.4912343

DOI: https://doi.org/10.1063/1.4912343

Date: 2018-09-07

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Abstract:

An energy conserving scheme for the shallow water equations including the bathymetry term is derived. Energy conservation implies the well-balanced property. The soundness of the approach is verified by numerical examples. Namely the lake at rest and a dam break problem are presented. The new scheme is compared with an established scheme.

Citation:

Reiss, J., Touma, R., & Sesterhenn, J. (2015, March). An energy conserving well-balanced scheme for the shallow water equations. In AIP Conference Proceedings (Vol. 1648, No. 1, p. 030026). AIP Publishing.