Analysing the impact of bottom friction on shallow water waves over idealised bottom topographies

DOI10.1080/03091929.2023.2204430zbMath1528.76009arXiv2304.14584OpenAlexW4376270265MaRDI QIDQ6097796

Chang Liu, Unnamed Author

Publication date: 7 June 2023

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.14584

zbMATH Keywords

Coriolis forceAdomian decomposition methodlinear friction lawrotating shallow water flowanticyclonic vortexinertial geostrophic oscillation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05)

Cites Work

• Unnamed Item
• An efficient scheme on wet/dry transitions for shallow water equations with friction
• Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes
• Dissipation-induced instability phenomena in infinite-dimensional systems
• Dissipation induced instabilities
• Frictional effect on stability of discontinuity interface in tangential velocity of a shallow-water flow
• Moving boundary shallow water flow in a region with quadratic bathymetry
• Dissipation-induced instabilities in finite dimensions
• Some exact solutions to the nonlinear shallow-water wave equations
• Nonlinear shallow-water oscillations in a parabolic channel: exact solutions and trajectory analyses
• Absolute and convective instabilities of plane turbulent wakes in a shallow water layer
• Atmospheric and Oceanic Fluid Dynamics
• Exact solutions of shallow water equations for the water oscillation problem in a simulated basin and their implementation in verifying numerical algorithms
• Super- and sub-rotating equatorial jets in shallow water models of Jovian atmospheres: Newtonian cooling versus Rayleigh friction
• Some analytical solutions for validation of free surface flow computational codes
• Semi-analytical solutions of shallow water waves with idealised bottom topographies

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