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Título: | A 1D shallow-flow model for two-layer flows based on FORCE scheme with wet–dry treatment |
Autor: | Martínez-Aranda, S.; Ramos Pérez, Álvaro; García-Navarro, Pilar | Palabras clave: | High-accuracy two-layer steady solutions Hydrostatic reconstruction Two-layer shallow flows Well-balanced FORCE scheme Wet-dry treatment |
Fecha de publicación: | 29-jun-2020 | Editor: | IWA Publishing | Citación: | Journal of Hydroinformatics 22(5): 1015-1037 (2020) | Resumen: | The two-layer problem is defined as the coexistence of two immiscible fluids, separated by an interface surface. Under the shallow-flow hypothesis, 1D models are based on a four equations system accounting for the mass and momentum conservation in each fluid layer. Mathematically, the system of conservation laws modelling 1D two-layer flows has the important drawback of loss of hyperbolicity, causing that numerical schemes based on the eigenvalues of the Jacobian become unstable. In this work, well-balanced FORCE scheme is proposed for 1D two-layer shallow flows. The FORCE scheme combines the first-order Lax–Friedrichs flux and the second-order Lax–Wendroff flux. The scheme is supplemented with a hydrostatic reconstruction procedure in order to ensure the well-balanced behaviour of the model for steady flows even under wet–dry conditions. Additionally, a method to obtain high-accuracy numerical solutions for two-layer steady flows including friction dissipation is proposed to design reference benchmark tests for model validation. The enhanced FORCE scheme is faced to lake-at-rest benchmarking tests and steady flow cases including friction, demonstrating its well-balanced character. Furthermore, the numerical results obtained for highly unsteady two-layer dambreaks are used to analyse the robustness and accuracy of the model under a wide range of flow conditions. | Descripción: | 20 figures, 3 tables. | Versión del editor: | http://dx.doi.org/10.2166/hydro.2020.002 | URI: | http://hdl.handle.net/10261/311577 | DOI: | 10.2166/hydro.2020.002 | ISSN: | 1464-7141 | E-ISSN: | 1465-1734 |
Aparece en las colecciones: | (LIFTEC) Artículos |
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jh0221015_1D shallow flow.pdf | Artículo | 1,17 MB | Adobe PDF | Visualizar/Abrir |
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