Abstract
This paper presents a one-dimensional finite-volume model to investigate long wave run-up under non-breaking and breaking conditions. A conservative form of the non-linear shallow water equations is solved using a high-resolution Godunov-type scheme coupled with the HLL Riemann solver. The surface gradient method leads to a well-balanced formulation between the flux and the source terms. The explicit time discretisation is first-order accurate, but a piecewise linear reconstruction of numerical data at cell interfaces helps achieve second-order accuracy in space. The computed surface elevation, flow velocity and run-up show very good agreement with available analytical solutions and experimental observations. The model accurately describes propagation of non-breaking and breaking waves on a sloping beach.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
