Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations

Ping Lin, Xianqiao Chen, Ming Tze Ong

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    A new formulation of the Navier–Stokes equations is introduced to solve incompressible flow problems. When finite element methods are used under this formulation there is no need to worry whether Babuska–Brezzi condition is satisfied or not. Both velocity and pressure can be obtained separately and the pressure can be simply obtained by a substitution. Moreover, fully explicit time integration can be applied for easy implementation. Implementation issues are discussed and a couple of flow examples are simulated. Parallel implementation based on domain decomposition is incorporated as well.
    Original languageEnglish
    Pages (from-to)1169-1180
    Number of pages12
    JournalInternational Journal for Numerical Methods in Fluids
    Volume46
    Issue number12
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Incompressible Navier–Stokes equations
    • Finite element method
    • Parallel methods
    • Differential-algebraic equations
    • Explicit methods
    • Regularization

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