Local time stepping for the shallow water equations in MPAS

DOI10.1016/J.JCP.2021.110818OpenAlexW3211635369WikidataQ111381582 ScholiaQ111381582MaRDI QIDQ2136505

Giacomo Capodaglio, Mark R. Petersen

Publication date: 10 May 2022

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

Full work available at URL: https://arxiv.org/abs/2106.07154

zbMATH Keywords

shallow water equationsparallel computinghigh performance computinglocal time-steppingMPAS

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)

Related Items (1)

Adaptive total variation stable local timestepping for conservation laws

Uses Software

• METIS
• chammp
• MPAS-Ocean
• MPAS

Cites Work

• Local time-stepping in Runge-Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations
• 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
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Grid generation and optimization based on centroidal Voronoi tessellations
• Moving mesh methods with locally varying time steps
• Conservative explicit local time-stepping schemes for the shallow water equations
• A novel local time stepping algorithm for shallow water flow simulation in the discontinuous Galerkin framework
• Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative
• A parallel local timestepping Runge-Kutta discontinuous Galerkin method with applications to coastal Ocean modeling
• Strong Stability-Preserving High-Order Time Discretization Methods
• Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids
• Total-Variation-Diminishing Time Discretizations
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation

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