Abstract A numerical model based on the Non-Linear Shallow Water (NLSW) equations is developed to study the propagation and run-up of non-breaking and breaking solitary waves. The Total Variation Diminishing version of Weighted Average Flux (TVD-WAF) explicit method in conjugation with the Harten-Lax-van Leer (HLL) approximate Riemann solver estimates the numerical flux in the governing equations. This approach permits an exact evaluation of wave speeds in the presence of dry bed situations. The bed topography and friction source terms are treated in a fully implicit way. The accuracy of the model is verified by recourse to the classical test problems with known analytical solutions as well as experimental data. The computed run-up heights show satisfactory agreement with existing run-up laws.
Modeling of non-breaking and breaking solitary wave run-up using shock-capturing TVD-WAF scheme
KSCE Journal of Civil Engineering ; 15 , 6 ; 945-955
2011-07-01
11 pages
Article (Journal)
Electronic Resource
English
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