A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface

B Bradshaw-Hajek, S Miklavcic, Dale Ward

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    1 Citation (Scopus)

    Abstract

    In this paper, the Extended-Domain-Eigenfunction-Method (EDEM) is combined with the Level Set Method in a composite numerical scheme for simulating a moving boundary problem. The liquid velocity is obtained by formulating the problem in terms of the EDEM methodology and solved using a least square approach. The propagation of the free surface is effected by a narrow band Level Set Method. The two methods both pass information to each other via a bridging process, which allows the position of the interface to be updated. The numerical scheme is applied to a series of problems involving a gas bubble submerged in a viscous liquid moving subject to both an externally generated flow and the influence of surface tension.

    Original languageEnglish
    Pages (from-to)389-402
    Number of pages14
    JournalJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
    Volume237
    Issue number1
    DOIs
    Publication statusPublished - 1 Jan 2013

    Keywords

    • BVPs
    • EDEM
    • Elliptic operators
    • Free boundary problem
    • Level Set Method
    • Stokes equation

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