On the convective and absolute nature of instabilities in finite difference numerical simulations of open flows

DOI10.1006/jcph.1998.5990zbMath1392.76017OpenAlexW2074105197MaRDI QIDQ1658554

T. Loiseleux, Carlo Cossu

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5990

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hydrodynamic stability (76E99)

Related Items (8)

Absolute stability mechanism of a swept cylinder laminar boundary layer with imposed spanwise periodic conditions ⋮ Global spectral analysis of three-time level integration schemes: focusing phenomenon ⋮ Effects of numerical anti-diffusion in closed unsteady flows governed by two-dimensional Navier-Stokes equation ⋮ Global spectral analysis: review of numerical methods ⋮ A linear focusing mechanism for dispersive and non-dispersive wave problems ⋮ A full discrete dispersion analysis of time-domain simulations of acoustic liners with flow ⋮ Primary and secondary nonlinear global instability ⋮ Stability of an air–water mixing layer: focus on the confinement effect

Cites Work

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• Noise-sustained structure, intermittency and the Ginzburg-Landau equation
• Instability of difference models for hyperbolic initial boundary value problems
• Group Velocity in Finite Difference Schemes
• Analysis of explicit difference methods for a diffusion‐convection equation
• Finite bandwidth, finite amplitude convection
• A non-linear instability theory for a wave system in plane Poiseuille flow

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