A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere
From MaRDI portal
Publication:2002243
DOI10.1016/j.jcp.2018.08.042zbMath1416.65353arXiv1802.07395OpenAlexW2788566950MaRDI QIDQ2002243
Publication date: 11 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.07395
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to geophysics (86-08)
Related Items (14)
An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics ⋮ Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere ⋮ A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains ⋮ A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere ⋮ On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks ⋮ Compatible finite element methods for geophysical fluid dynamics ⋮ A compatible finite element discretisation for the nonhydrostatic vertical slice equations ⋮ Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements ⋮ Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations ⋮ A discrete Funk transform on the cubed sphere ⋮ A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere ⋮ Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations ⋮ Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems ⋮ Symmetry group of the equiangular cubed sphere
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
- A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
- A compatible and conservative spectral element method on unstructured grids
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations.
- Discrete conservation properties for shallow water flows using mixed mimetic spectral elements
- A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
- Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere
- Mixed finite elements for numerical weather prediction
- Some conservation issues for the dynamical cores of NWP and climate models
- Finite element differential forms on curvilinear cubic meshes and their approximation properties
- A spectral mimetic least-squares method
- Edge Functions for Spectral Element Methods
- Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- Mixed and Hybrid Finite Element Methods
- Finite Element Methods for Maxwell's Equations
- Rehabilitation of the Lowest-Order Raviart–Thomas Element on Quadrilateral Grids
This page was built for publication: A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere