Time-split finite element methods in physical and generalized coordinates

C. A J Fletcher, K. Srinivas

Research output: Chapter in Book/Report/Conference proceedingChapter

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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    Fletcher, C. A. J., & Srinivas, K. (1985). Time-split finite element methods in physical and generalized coordinates. In R. H. Gallagher (Ed.), Finite elements in fluids (Vol. 6, pp. 115-133). New York: John Wiley & Sons.