Fractional step, finite element scheme for free boundary problems

Masahisa Tabata, Akira Morishita

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a fractional step, finite element scheme for free boundary problems of viscous fluids. In the first half-step the Stokes problem is solved using the mini finite element, which is one of the simplest elements satisfying the inf-sup condition. In the second half-step the convection problems are solved using a newly developed upwind scheme. The position of the free boundary is determined by tracing the nodal points lying on the free boundary at a previous time. We apply this scheme to a model equation derived from a compression molding problem and show its efficacy.

Original languageEnglish
Title of host publicationTheoretical and Applied Mechanics
Editors Anon
PublisherPubl by Univ of Tokyo Press
Pages251-257
Number of pages7
Volume39
Publication statusPublished - 1990
Externally publishedYes
EventProceedings of the 39th Japan National Congress for Applied Mechanics 1989 - NCTAM-39 - Tokyo, Jpn
Duration: 1989 Dec 131989 Dec 15

Other

OtherProceedings of the 39th Japan National Congress for Applied Mechanics 1989 - NCTAM-39
CityTokyo, Jpn
Period89/12/1389/12/15

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ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Tabata, M., & Morishita, A. (1990). Fractional step, finite element scheme for free boundary problems. In Anon (Ed.), Theoretical and Applied Mechanics (Vol. 39, pp. 251-257). Publ by Univ of Tokyo Press.