The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.
Dispersive Nonlinear Shallow Water Equations: some preliminary numerical results / Grosso, G; Antuono, M; Brocchini, Maurizio. - In: JOURNAL OF ENGINEERING MATHEMATICS. - ISSN 0022-0833. - STAMPA. - 67(1-2):(2010), pp. 71-84. [10.1007/s10665-009-9328-5]
Dispersive Nonlinear Shallow Water Equations: some preliminary numerical results
BROCCHINI, MAURIZIO
2010-01-01
Abstract
The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
