Numerical simulation of wave motions on a rotating attracting spherical zone

DOI10.1134/S0965542515030124zbMath1426.76484OpenAlexW2089377315MaRDI QIDQ2354465

V. V. Ostapenko, A. V. Speshilova, Alexander P. Chupakhin, Alexander A. Cherevko

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515030124

zbMATH Keywords

equilibriumRiemann problemzonal flowsconservation laws for shallow water equations on a rotating attracting spherical zonedecay of ridges in form of chevrons and elliptic annulishock-capturing difference scheme

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) General theory of rotating fluids (76U05)

Cites Work

• Shallow water equations on a rotating attracting sphere. II: Simple stationary waves and sound characteristics
• One-dimensional steady-state flows of a rotating gas and zonal wind
• A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
• Natural oscillations of a rotating spherical fluid layer of variable depth
• Discontinuous solutions of the shallow water equations on a rotatable attracting sphere
• Convergence of finite-difference schemes behind a shock front.
• Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
• Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell
• Computational Considerations for the Simulation of Shock-Induced Sound
• Spatial discretization of the shallow water equations in spherical geometry using Osher's scheme.
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