Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT
DOI10.1016/j.jcp.2023.112591arXiv2306.09497MaRDI QIDQ6198168
Joao G. Caldas Steinstraesser, Martin Schreiber, Pedro da Silva Peixoto
Publication date: 21 February 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.09497
atmospheric modelingshallow water equations on the sphereparareal methodparallel-in-time methodsMGRIT method
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Computer aspects of numerical algorithms (65Yxx)
Cites Work
- Unnamed Item
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- Toward an efficient parallel in time method for partial differential equations
- Fourth-order Runge-Kutta schemes for fluid mechanics applications
- Coupling methods for heat transfer and heat flow: operator splitting and the parareal algorithm
- Exponential time differencing for stiff systems
- An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere
- Numerical techniques for global atmospheric models.
- Parallel algorithms for initial-value problems for difference and differential equations
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- Wave propagation characteristics of Parareal
- A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation
- Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid
- Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere
- High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid
- Explicit parallel-in-time integration of a linear acoustic-advection system
- Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode
- Résolution d'EDP par un schéma en temps «pararéel »
- A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods
- 50 Years of Time Parallel Time Integration
- An Asymptotic Parallel-in-Time Method for Highly Oscillatory PDEs
- The computational future for climate and Earth system models: on the path to petaflop and beyond
- Numerical Methods for Fluid Dynamics
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Parallel-in-time simulation of the unsteady Navier–Stokes equations for incompressible flow
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- Stability of the Parareal Algorithm
- Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems
- Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence?
- Optimizing multigrid reduction‐in‐time and Parareal coarse‐grid operators for linear advection
- On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method
- Twelve Ways to Fool the Masses When Giving Parallel-in-Time Results
- Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST
- Parallel Time Integration with Multigrid
- Semi-Lagrangian Exponential Integration with Application to the Rotating Shallow Water Equations
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT
- Applications of time parallelization
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