2020
DOI: 10.1007/s10652-019-09732-7
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An implicit wetting–drying algorithm for the discontinuous Galerkin method: application to the Tonle Sap, Mekong River Basin

Abstract: Important note To cite this publication, please use the final published version (if applicable). Please check the document version above.

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Cited by 16 publications
(16 citation statements)
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“…To date, very few 2D hydraulic modelling packages have adopted DG-based solvers, of which DG-SWEM (Bunya et al, 2009;Kubatko et al, 2006), SLIM (Lambrechts et al, 2010) and Thetis (Kärnä et al, 2018) are two examples. Existing DG-based solvers have been primarily aimed to support modelling applications in lake, estuary and coastal systems (Le Bars et al, 2016;Clare et al, 2020;Le et al, 2020;Mulamba et al, 2019;Pham Van et al, 2016;Wood et al, 2020). However, the application of DG2 for 2D flood inundation modelling has been little explored, and a dedicated study is needed to identify: (i) the optimal DG2 configuration for flood modelling applications, and (ii) the potential capabilities of DG2 compared to commonly used FV-based alternatives, including FV-based industry-standard models.…”
Section: Introductionmentioning
confidence: 99%
“…To date, very few 2D hydraulic modelling packages have adopted DG-based solvers, of which DG-SWEM (Bunya et al, 2009;Kubatko et al, 2006), SLIM (Lambrechts et al, 2010) and Thetis (Kärnä et al, 2018) are two examples. Existing DG-based solvers have been primarily aimed to support modelling applications in lake, estuary and coastal systems (Le Bars et al, 2016;Clare et al, 2020;Le et al, 2020;Mulamba et al, 2019;Pham Van et al, 2016;Wood et al, 2020). However, the application of DG2 for 2D flood inundation modelling has been little explored, and a dedicated study is needed to identify: (i) the optimal DG2 configuration for flood modelling applications, and (ii) the potential capabilities of DG2 compared to commonly used FV-based alternatives, including FV-based industry-standard models.…”
Section: Introductionmentioning
confidence: 99%
“…1 ). This was due to omitting major TSL tributaries such as the Stung Sen in the boundary, which expand significantly during the wet season 48 .…”
Section: Methodsmentioning
confidence: 99%
“…where 𝑼 = 𝐻𝒖 ̅ is the horizontal transport, H is the water column height, h is the bathymetry, t is the time, and 𝒖 ̅ = (u,𝑣) is the depth-averaged horizontal velocity. 𝛼 is a constant that is set to zero over dry elements and one over wet elements (Le et al, 2020),  is the horizontal gradient operator, 𝑔 = 9.81 m/s 2 is the gravitational acceleration, Cd is the bulk drag coefficient, f is the Coriolis parameter, 𝒆 𝒛 is the vertical unit vector pointing upward, 𝜐 is the horizontal eddy viscosity, 𝜏 𝑤𝑖𝑛𝑑 is the wind stress, and 𝛻p 𝑎𝑡𝑚 is the atmospheric pressure gradient.…”
Section: Hydrodynamic Modelmentioning
confidence: 99%