Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation

J. W. Choi, S. M. Sun, M. C. Shen

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation, called a forced extended KdV equation (FEKdV) governing interfacial wave forms, is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented.

Original languageEnglish
Pages (from-to)397-404
Number of pages8
JournalPhysics of Fluids
Volume8
Issue number2
DOIs
Publication statusPublished - 1996 Feb

ASJC Scopus subject areas

  • Condensed Matter Physics

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