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 journalArticlepeer-review

    6 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

    Bibliographical note

    Funding Information:
    The authors are grateful to the anonymous referees for their valuable comments and suggestions. This research of Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2010-0012584 ).

    Keywords

    • Forced modified KdV
    • Numerical stability
    • Solitary waves

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science
    • 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