Abstract
A high-order explicit finite difference scheme is derived solving the shallow water equations. The boundary closures are based on the diagonal-norm summation-by-parts (SBP) framework and the boundary conditions are imposed using a penalty (SAT) technique. Flux-splitting combined with upwind SBP operators is used to naturally introduce artificial dissipation. The scheme is tested against various benchmark problems where high-order convergence is verified for smooth solutions. A particular discretization of the source term is used leading to a well-balanced scheme. We also present an application: A simplified incident wave simulation with wave-channel interaction using a multi-block setup. Experiments suggest that a bathymetry consisting of many spikes could provide a dispersing effect on an incoming wave.
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.
