Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair

DOI10.1016/j.jcp.2010.12.024zbMath1316.76019arXiv1001.2925OpenAlexW2044616478MaRDI QIDQ543703

Colin John Cotter, David A. Ham

Publication date: 17 June 2011

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

Full work available at URL: https://arxiv.org/abs/1001.2925

zbMATH Keywords

Rossby wavesmixed finite elementsnumerical weather predictiongeophysical fluid dynamicsspurious modes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Meteorology and atmospheric physics (86A10)

Related Items (15)

Mixed finite elements for global tide models with nonlinear damping ⋮ Mixed finite elements for global tide models ⋮ Adapting and optimising fluidity for high-fidelity coastal modelling ⋮ Hybrid large eddy simulation for low-order discontinuous Galerkin methods using an explicit filter ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ A discontinuous/continuous low order finite element shallow water model on the sphere ⋮ Weighted-Norm Preconditioners for a Multilayer Tide Model ⋮ Dispersion analysis of the \(P_n - P_{n - 1}^{\mathrm{DG}}\) mixed finite element pair for atmospheric modelling ⋮ Optimal Constrained Interpolation in Mesh-Adaptive Finite Element Modeling ⋮ Mixed finite elements for numerical weather prediction ⋮ Spurious inertial oscillations in shallow-water models ⋮ Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair ⋮ On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes ⋮ Preconditioning mixed finite elements for tide models ⋮ Consistency and local conservation in finite-element simulation of flow in porous media

Uses Software

• SymPy
• NICAM

Cites Work

• Numerical wave propagation on the hexagonal C-grid
• LBB stability of a mixed Galerkin finite element pair for fluid flow simulations
• Numerical representation of geostrophic modes on arbitrarily structured C-grids
• Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
• Practical evaluation of five partly discontinuous finite element pairs for the non-conservative shallow water equations
• Impact of mass lumping on gravity and Rossby waves in 2D finite‐element shallow‐water models
• Analysis of Numerically Induced Oscillations in Two-Dimensional Finite-Element Shallow-Water Models Part II: Free Planetary Waves
• Analysis of Numerically Induced Oscillations in 2D Finite‐Element Shallow‐Water Models Part I: Inertia‐Gravity Waves
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