### 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 language | English |
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Title of host publication | Theoretical and Applied Mechanics |

Editors | Anon |

Publisher | Publ by Univ of Tokyo Press |

Pages | 251-257 |

Number of pages | 7 |

Volume | 39 |

Publication status | Published - 1990 |

Externally published | Yes |

Event | Proceedings of the 39th Japan National Congress for Applied Mechanics 1989 - NCTAM-39 - Tokyo, Jpn Duration: 1989 Dec 13 → 1989 Dec 15 |

### Other

Other | Proceedings of the 39th Japan National Congress for Applied Mechanics 1989 - NCTAM-39 |
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City | Tokyo, Jpn |

Period | 89/12/13 → 89/12/15 |

### ASJC Scopus subject areas

- Mechanics of Materials

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## 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.