Study of the parametric oscillator driven by narrow-band noise to model the response of a fluid surface to time-dependent accelerations

DOI10.1063/1.858723zbMath0807.76014OpenAlexW2078071847MaRDI QIDQ4302952

Jaume Casademunt, Jorge Viñals, Wen-Bin Zhang

Publication date: 9 March 1995

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858723

zbMATH Keywords

stabilitywhite noisemicrogravitylinear responseOrnstein-Uhlenbeck noise\(g\)-jitterlow-frequency oscillationsmonochromatic noisesecond-order numerical algorithmsubharmonic parametric resonance

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35)

Related Items (5)

Cavity flow induced by a fluctuating acceleration field ⋮ Thermal convection in a cylindrical enclosure ⋮ Finite amplitude Faraday waves induced by a random forcing ⋮ On the Moment Stability of Stochastic Parametrically Forced Equations with Rank One Forcing ⋮ Effect of multiplicative noise on parametric instabilities

Cites Work

• Sensitivity of liquid bridges subject to axial residual acceleration
• Dynamical properties of non-Markovian stochastic differential equations
• Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves
• Stability of an oscillated fluid with a uniform density gradient
• Instabilities caused by oscillating accelerations normal to a viscous fluid-fluid interface
• Square patterns and secondary instabilities in driven capillary waves
• A parametric acoustic instability in premixed flames
• Convective stability in the Rayleigh–Bénard and directional solidification problems: High-frequency gravity modulation
• The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid
• On Delocalization of Motions in Nonuniform High Frequency Fields With Finite Correlation Time
• The stability of the plane free surface of a liquid in vertical periodic motion

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