The momentum conservative scheme for simulating nonlinear wave evolution and run-up in U-shaped bays

DOI10.1007/s13160-022-00549-4OpenAlexW4307297953MaRDI QIDQ2111583

S. R. Pudjaprasetya, Rani Sulvianuri

Publication date: 17 January 2023

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-022-00549-4

zbMATH Keywords

run-upSaint-Venant equationsa conservative schemeU-shaped bays

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Uses Software

• CANWA

Cites Work

• Non-dispersive traveling waves in inclined shallow water channels
• An analytical and numerical study of long wave run-up in U-shaped and V-shaped bays
• Analytical and numerical study of nonlinear effects at tsunami modeling
• Long wave propagation and run-up in converging bays
• Nonlinear wave run-up in bays of arbitrary cross-section: generalization of the Carrier–Greenspan approach
• Kernel representation of long-wave dynamics on a uniform slope
• Momentum Conservative Schemes for Shallow Water Flows