A quasi-Hamiltonian discretization of the thermal shallow water equations
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Publication:2169492
DOI10.1016/j.jcp.2018.10.038OpenAlexW2884855166WikidataQ129024276 ScholiaQ129024276MaRDI QIDQ2169492
Evaggelos Kritsikis, Christopher Eldred, Thomas Dubos
Publication date: 2 September 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.10.038
mixed finite elementsHamiltonian mechanicsfinite element exterior calculusdynamical coremimetic Galerkin differencesthermal shallow water equations
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Geophysics (86Axx)
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Uses Software
Cites Work
- Stabilized Galerkin for transient advection of differential forms
- A new hierarchically-structured \(n\)-dimensional covariant form of rotating equations of geophysical fluid dynamics
- Semi-implicit semi-Lagrangian modelling of the atmosphere: a Met Office perspective
- A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
- Linear energy-preserving integrators for Poisson systems
- Inspection of hexagonal and triangular C-grid discretizations of the shallow water equations
- Why starting from differential equations for computational physics?
- Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
- Differential forms for scientists and engineers
- High order geometric methods with exact conservation properties
- Numerical wave propagation on the hexagonal C-grid
- 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
- 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
- Vertical slice modelling of nonlinear Eady waves using a compatible finite element method
- Discrete conservation properties for shallow water flows using mixed mimetic spectral elements
- Dispersion analysis of the \(P_n - P_{n - 1}^{\mathrm{DG}}\) mixed finite element pair for atmospheric modelling
- Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere
- Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions
- Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative
- An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force
- On Galerkin difference methods
- Wave dispersion properties of compound finite elements
- Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model
- Mixed finite elements for numerical weather prediction
- Spurious inertial oscillations in shallow-water models
- Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements
- A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids
- Thermal shallow water models of geostrophic turbulence in Jovian atmospheres
- Isogeometric Discrete Differential Forms in Three Dimensions
- An Algorithm for the Optimization of Finite Element Integration Loops
- Firedrake
- Finite element exterior calculus, homological techniques, and applications
- Finite element exterior calculus: from Hodge theory to numerical stability
- Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields
- Spatial discretization of partial differential equations with integrals
- TSFC: A Structure-Preserving Form Compiler
- Kernel Analysis of the Discretized Finite Difference and Finite Element Shallow-Water Models
- Super- and sub-rotating equatorial jets in shallow water models of Jovian atmospheres: Newtonian cooling versus Rayleigh friction
- The quasi-geostrophic theory of the thermal shallow water equations
- Algorithm 839
- Unified form language
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