Time-split finite element methods in physical and generalized coordinates

C. A J Fletcher, K. Srinivas

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    5 Citations (Scopus)

    Abstract

    In this chapter time-split methods will be described that are equally effective in physical coordinates or in generalized coordinates. The motivation for developing these techniques is provided by the need to obtain, efficiently, steady-state solutions to separating viscous flows under both incompressible and compressible conditions. For flows characterized by high Reynolds numbers there is a choice between directly solving the steady equations of motion and obtaining the steady solution as the 'end-point' of a transient formulation. Directly solving the equations requires a large main memory to avoid the computationally expensive repeated data transfer to and from secondary storage; this is no longer a major problem. More serious is the requirement that the starting solution is close, in some sense, to the (unknown) converged solution, if a Newton or quasi-Newton method is used.

    Original languageEnglish
    Title of host publicationFinite elements in fluids
    EditorsRichard H. Gallagher
    Place of PublicationNew York
    PublisherJohn Wiley & Sons
    Pages115-133
    Number of pages19
    Volume6
    ISBN (Print)047190676X, 9780471906766
    Publication statusPublished - 1985

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