Dispersion analysis of the \(P_n - P_{n - 1}^{\mathrm{DG}}\) mixed finite element pair for atmospheric modelling
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Publication:1700898
DOI10.1016/j.jcp.2017.11.019zbMath1380.65283OpenAlexW2769126175MaRDI QIDQ1700898
Publication date: 22 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.11.019
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Meteorology and atmospheric physics (86A10)
Related Items (4)
A quasi-Hamiltonian discretization of the thermal shallow water equations ⋮ Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model ⋮ Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models ⋮ On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes
Cites Work
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- Dispersive behaviour of high order finite element schemes for the one-way wave equation
- Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations
- Determining the effective resolution of advection schemes. part I: dispersion analysis
- A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
- Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core
- Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair
- On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods
- A compatible and conservative spectral element method on unstructured grids
- Two families of mixed finite elements for second order elliptic problems
- The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
- A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
- Wave dispersion properties of compound finite elements
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- Mixed finite elements for numerical weather prediction
- Spurious inertial oscillations in shallow-water models
- High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere
- Adaptive atmospheric modeling. Key techniques in grid generation, data structures, and numerical operations with applications
- Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
- Efficient rectangular mixed finite elements in two and three space variables
- Dispersive and Dissipative Behavior of the Spectral Element Method
- A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
- Raviart–Thomas and Brezzi–Douglas–Marini finite‐element approximations of the shallow‐water equations
- Practical evaluation of five partly discontinuous finite element pairs for the non-conservative shallow water equations
- Mixed and Hybrid Finite Element Methods
- A staggered spectral element model with application to the oceanic shallow water equations
- Analysis of Numerically Induced Oscillations in 2D Finite‐Element Shallow‐Water Models Part I: Inertia‐Gravity Waves
- Dispersion Relation Analysis of the $P^NC_1 - P^_1$ Finite-Element Pair in Shallow-Water Models
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