An energy conserving well-balanced scheme for the shallow water equations
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...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , |
| التنسيق: | conferenceObject |
| منشور في: |
2015
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/8441 https://doi.org/10.1063/1.4912343 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://aip.scitation.org/doi/abs/10.1063/1.4912343 |
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| الملخص: | 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. |
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