An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere

DOI10.1016/j.jcp.2016.07.012zbMath1351.76106OpenAlexW2486801753MaRDI QIDQ727613

Stéphane Gaudreault, Janusz A. Pudykiewicz

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.07.012

zbMATH Keywords

shallow water equationstime integrationnumerical weather predictionexponential methodsexponential time integration methods

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid, Convection experiments with the exponential time integration scheme, Comparison of exponential integrators and traditional time integration schemes for the shallow water equations, Efficient exponential time integration for simulating nonlinear coupled oscillators, A center compact scheme for the shallow water equations on the sphere, Exponential time differencing for the tracer equations appearing in primitive equation ocean models, The boundary-constraint method for constructing vortex-surface fields, The dissipative generalized hydrodynamic equations and their numerical solution, Numerical solutions of the time‐dependent Schrödinger equation with position‐dependent effective mass, Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT, Exponential time differencing for mimetic multilayer Ocean models, A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion, Parallel exponential time differencing methods for geophysical flow simulations, Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study, Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid, KIOPS: a fast adaptive Krylov subspace solver for exponential integrators, Unnamed Item, Efficient exponential Runge-Kutta methods of high order: construction and implementation, Semi-Lagrangian Exponential Integration with Application to the Rotating Shallow Water Equations, Nonoverlapping localized exponential time differencing methods for diffusion problems, Further development of efficient and accurate time integration schemes for meteorological models, Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes, An efficient second-order linear scheme for the phase field model of corrosive dissolution, Exponential Rosenbrock Methods and Their Application in Visual Computing

Uses Software

• Expokit
• Algorithm 919
• chammp
• MATLAB expm
• phipm

Cites Work

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