Determining the effective resolution of advection schemes. part I: dispersion analysis

DOI10.1016/j.jcp.2014.01.043zbMath1349.65308OpenAlexW2922160498WikidataQ58094443 ScholiaQ58094443MaRDI QIDQ349686

Jared P. Whitehead, Richard B. Rood, James Kent, Christiane Jablonowski

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.043

zbMATH Keywords

transportfinite-difference methodsfinite-volume methodsdynamical coredispersion relation analysiseffective resolution

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods ⋮ Determining the effective resolution of advection schemes. Part II: numerical testing ⋮ Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model ⋮ Dispersion analysis of the \(P_n - P_{n - 1}^{\mathrm{DG}}\) mixed finite element pair for atmospheric modelling ⋮ Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models

Uses Software

• CAM3

Cites Work

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• MCore: a non-hydrostatic atmospheric dynamical core utilizing high-order finite-volume methods
• Numerical wave propagation on non-uniform one-dimensional staggered grids
• An analysis of 1D finite-volume methods for geophysical problems on refined grids
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• An analysis of the discontinuous Galerkin method for wave propagation problems
• A positive finite-difference advection scheme
• Some conservation issues for the dynamical cores of NWP and climate models
• Systems of conservation laws

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