Error growth and phase lag analysis for high Courant numbers

DOI10.1016/j.amc.2018.10.035zbMath1428.76139OpenAlexW2898925824WikidataQ128977666 ScholiaQ128977666MaRDI QIDQ2008427

Yanyan Li

Publication date: 25 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.035

zbMATH Keywords

stabilitywave propagationCourant numbererror dynamicsdispersion-relationphase speed

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Cites Work

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• A multiphase compressible model for the simulation of multiphase flows
• Spurious waves in discrete computation of wave phenomena and flow problems
• Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods
• High accuracy compact schemes and Gibbs' phenomenon
• Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods
• Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
• Error dynamics: Beyond von Neumann analysis
• High Accuracy Computing Methods

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