Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.

Original languageEnglish
Pages (from-to)1219-1227
Number of pages9
JournalMathematics and Computers in Simulation
Volume82
Issue number7
DOIs
Publication statusPublished - 2012 Mar 1

Fingerprint

KdV Equation
Convergence of numerical methods
Numerical Stability
Modified Equations
Solitary Waves
Solitons
Fluid
Internal Waves
Fluids
Korteweg-de Vries Equation
Obstruction
Incompressible Fluid
Horizontal

Keywords

  • Forced modified KdV
  • Numerical stability
  • Solitary waves

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics
  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation. / Kim, Hongjoong; Bae, Won Soung; Choi, Jeongwhan.

In: Mathematics and Computers in Simulation, Vol. 82, No. 7, 01.03.2012, p. 1219-1227.

Research output: Contribution to journalArticle

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