Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere
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Publication:2122701
DOI10.1016/j.jcp.2019.109210OpenAlexW2997665630WikidataQ126445141 ScholiaQ126445141MaRDI QIDQ2122701
François P. Hamon, Martin Schreiber, Michael L. Minion
Publication date: 7 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05988
spherical harmonicsatmospheric flowsmulti-level spectral deferred correctionsparallel-in-time integrationclimate and weather simulationsshallow-water equations on the sphere
Related Items (6)
GParareal: a time-parallel ODE solver using Gaussian process emulation ⋮ On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulence simulations ⋮ Dahlquist's barriers and much beyond ⋮ Exponential Runge-Kutta parareal for non-diffusive equations ⋮ Applications of time parallelization ⋮ Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT
Uses Software
Cites Work
- Unnamed Item
- Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations
- A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics
- Toward an efficient parallel in time method for partial differential equations
- A hybrid parareal spectral deferred corrections method
- Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE
- Faster SDC convergence on non-equidistant grids by DIRK sweeps
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- Order and stability of parallel methods for stiff problems
- High-order multi-implicit spectral deferred correction methods for problems of reactive flow.
- Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics.
- Spectral deferred correction methods for ordinary differential equations
- Wave propagation characteristics of Parareal
- A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation
- Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere
- Comments on high-order integrators embedded within integral deferred correction methods
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- Résolution d'EDP par un schéma en temps «pararéel »
- Spectral Deferred Corrections with Fast-wave Slow-wave Splitting
- Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
- An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs
- Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
- Efficient Implementation of a Multi-Level Parallel in Time Algorithm
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
- A multigrid perspective on the parallel full approximation scheme in space and time
- Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- PARAEXP: A Parallel Integrator for Linear Initial-Value Problems
- Parallel methods for ODEs
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