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

Hongjoong Kim, Won Soung Bae, Jeongwhan Choi

Research output: Contribution to journalArticle

5 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

Keywords

  • Forced modified KdV
  • Numerical stability
  • Solitary waves

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation'. Together they form a unique fingerprint.

  • Cite this