Title

Resonance Wave Interactions In A Weakly Viscous Liquid

Keywords

Non-linear wave; Resonant interactions; Variational method

Abstract

A study is made of non-linear wave interactions in a weakly viscous liquid. Using the averaged variational method, new interaction equations are derived. It is shown that results of this paper reduce to those obtained earlier for weak second-order resonant interactions in the limit as viscosity v → 0. The Lax-Wendroff method having second-order accuracy with respect to space and time is chosen for numerical calculations because the method does not depend on the direction of wave propagation or domains of dependence. The non-linear resonant evolution of amplitude triads has been investigated for different values of viscosity. Numerical results with graphical representations are presented in some detail. © 1998 Elsevier Science Ltd. All rights reserved.

Publication Date

1-1-1999

Publication Title

International Journal of Non-Linear Mechanics

Volume

34

Issue

2

Number of Pages

197-220

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0020-7462(97)00076-0

Socpus ID

0040293368 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0040293368

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