Estimating limits on resolution and predictability in computations of hydrodynamically unstable flows

DOI10.1016/0021-9991(88)90088-5zbMath0633.76050OpenAlexW2048807363MaRDI QIDQ1096489

James A. Viecelli

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90088-5

zbMATH Keywords

Rayleigh-Taylor instabilityLyapunov exponentLagrange pointschaotic statepassive tracersself- similarityhydrodynamic solution methodpoint counting methodsUnstable hydrodynamic flows

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05) Basic methods in fluid mechanics (76M99)

Cites Work

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• Application of a fractional-step method to incompressible Navier-Stokes equations
• Determining Lyapunov exponents from a time series
• FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
• Measuring the strangeness of strange attractors
• A computing method for incompressible flows bounded by moving walls
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Front Tracking Applied to Rayleigh–Taylor Instability
• The deformation of steep surface waves on water ll. Growth of normal-mode instabilities
• Vortex simulations of the Rayleigh–Taylor instability
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• Numerical Study of Two Fluid Rayleigh-Taylor Instability

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