Gavrilyuk, SergeySergeyGavrilyukKEH-MING SHYUE2024-01-262024-01-262024-01-0107339429https://scholars.lib.ntu.edu.tw/handle/123456789/638951Multidimensional Serre-Green-Naghdi equations are numerically solved by using a natural hyperbolic-elliptic splitting. The hyperbolic step is solved by semidiscret finite volume methods. The elliptic step is related to recovering nonhydrostatic pressure. One-dimensional (1D) and two-dimensional (2D) test problems (i.e., 1D solitary wave propagation, 2D dam-break problem, solitary wave overstep and overhump) are considered.[SDGs]SDG132D Serre-Green-Naghdi Equations over Topography: Elliptic Operator Inversion Methodjournal article10.1061/JHEND8.HYENG-137032-s2.0-85175029456https://api.elsevier.com/content/abstract/scopus_id/85175029456