Onset patterns in a simple model of localized parametric forcing

Porter, Jeffrey Brent and Tinao, I. and Laverón Simavilla, Ana and Rodríguez, J. (2013). Onset patterns in a simple model of localized parametric forcing. "Physical Review E", v. 88 (n. 4); p. 42913. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.88.042913.

Description

Title: Onset patterns in a simple model of localized parametric forcing
Author/s:
  • Porter, Jeffrey Brent
  • Tinao, I.
  • Laverón Simavilla, Ana
  • Rodríguez, J.
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: October 2013
ISSN: 1539-3755
Volume: 88
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We investigate pattern selection at onset in a parametrically and inhomogeneously forced partial differential equation obtained by generalizing Mathieu's equation to include spatial interactions. No separation of scales is assumed. The proposed model is directly relevant to the case of parametrically forced surface waves, such as cross-waves, excited by the horizontal vibration of a fluid, where the forcing is localized to a finite region near the endwall or wavemaker. The availability of analytical solutions in the limit of piecewise constant forcing allows us investigate in detail the dependence of selected eigenfunctions on spatial detuning, forcing width, damping, boundary conditions, and container size. A wide range of onset patterns are located and described, many of which are rotated, modulated, or both, and deviate far from simple crosswise oriented standing waves. The linear selection mechanisms governing this multiplicity of potential onset patterns are discussed.

More information

Item ID: 53492
DC Identifier: http://oa.upm.es/53492/
OAI Identifier: oai:oa.upm.es:53492
DOI: 10.1103/PhysRevE.88.042913
Official URL: https://link.aps.org/doi/10.1103/PhysRevE.88.042913
Deposited by: Memoria Investigacion
Deposited on: 19 Feb 2019 12:55
Last Modified: 19 Feb 2019 12:55
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