Determining the effective resolution of advection schemes. Part II: numerical testing

DOI10.1016/J.JCP.2014.08.045zbMath1349.65307OpenAlexW2235420180WikidataQ58094449 ScholiaQ58094449MaRDI QIDQ349687

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

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.2014.08.045

zbMATH Keywords

finite-difference methodsdynamical coredispersion analysiseffective resolutiontest case

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 (4)

A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods ⋮ Dispersion analysis of compatible Galerkin schemes for the 1D shallow water model ⋮ Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models ⋮ GP-MOOD: a positivity-preserving high-order finite volume method for hyperbolic conservation laws

Uses Software

• SHASTA

Cites Work

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• Determining the effective resolution of advection schemes. part I: dispersion analysis
• Numerical wave propagation on non-uniform one-dimensional staggered grids
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• A limiter for PPM that preserves accuracy at smooth extrema
• The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection
• Weighted essentially non-oscillatory schemes
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Multidimensional flux-limited advection schemes
• Efficient implementation of weighted ENO schemes
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Systems of conservation laws
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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