Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study
From MaRDI portal
Publication:5163176
DOI10.4208/cicp.OA-2019-0214zbMath1473.65141OpenAlexW3106800419WikidataQ115481488 ScholiaQ115481488MaRDI QIDQ5163176
Thi-Thao-Phuong Hoang, Lili Ju, Xucheng Meng, Zhu Wang
Publication date: 3 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0214
domain decompositionfinite volume discretizationexponential time differencingrotating shallow water equations
General theory of rotating fluids (76U05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (6)
Convection experiments with the exponential time integration scheme ⋮ A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations ⋮ Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport ⋮ A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions ⋮ Parallel exponential time differencing methods for geophysical flow simulations
Uses Software
Cites Work
- A class of semi-implicit predictor-corrector schemes for the time integration of atmospheric models
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere
- Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme
- A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
- Numerical representation of geostrophic modes on arbitrarily structured C-grids
- Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- An unstructured finite volume method for large-scale shallow flows using the fourth-order Adams scheme
- Overlapping localized exponential time differencing methods for diffusion problems
- KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
- Extending a potential vorticity transport eddy closure to include a spatially-varying coefficient
- Exponential time differencing for mimetic multilayer Ocean models
- Nonoverlapping localized exponential time differencing methods for diffusion problems
- Further development of efficient and accurate time integration schemes for meteorological models
- Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
- Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
- Revisiting the Rossby-Haurwitz wave test case with contour advection
- Fast explicit integration factor methods for semilinear parabolic equations
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations
- Exponential integrators
- A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids
- Implementation of Parallel Adaptive-Krylov Exponential Solvers for Stiff Problems
- Algorithm 919
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- Expokit
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Exponential Integrators for Large Systems of Differential Equations
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Constrained Centroidal Voronoi Tessellations for Surfaces
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations
- Approximating the Matrix Exponential of an Advection-Diffusion Operator Using the Incomplete Orthogonalization Method
- Exponential Rosenbrock-Type Methods
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
This page was built for publication: Localized Exponential Time DifferencingMethod for Shallow Water Equations: Algorithms and Numerical Study
