### Abstract

A new strategy based on the stabilized space-time finite element formulation is proposed for computations involving moving boundaries and interfaces. In the deforming-spatial-domain/space-time (DSD/ST) procedure the variational formulation of a problem is written over its space-time domain, and therefore the deformation of the spatial domain with respect to time is taken into account automatically. Because the space-time mesh is generated over the space-time domain of the problem, within each time step, the boundary (or interface) nodes move with the boundary (or interface). Whether the motion of the boundary is specified or not, the strategy is nearly the same. If the motion of the boundary is unknown, then the boundary nodes move as defined by the other unknowns at the boundary (such as the velocity or the displacement). At the end of each time step a new spatial mesh covers the new spatial domain. For computational feasibility, the finite element interpolation functions are chosen to be discontinuous in time, and the fully discretized equations are solved one space-time slab at a time.

Original language | English |
---|---|

Pages (from-to) | 339-351 |

Number of pages | 13 |

Journal | Computer Methods in Applied Mechanics and Engineering |

Volume | 94 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1992 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computer Science Applications
- Computational Mechanics

### Cite this

*Computer Methods in Applied Mechanics and Engineering*,

*94*(3), 339-351. https://doi.org/10.1016/0045-7825(92)90059-S

**A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure : I. The concept and the preliminary numerical tests.** / Tezduyar, Tayfun E.; Behr, M.; Liou, J.

Research output: Contribution to journal › Article

*Computer Methods in Applied Mechanics and Engineering*, vol. 94, no. 3, pp. 339-351. https://doi.org/10.1016/0045-7825(92)90059-S

}

TY - JOUR

T1 - A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure

T2 - I. The concept and the preliminary numerical tests

AU - Tezduyar, Tayfun E.

AU - Behr, M.

AU - Liou, J.

PY - 1992

Y1 - 1992

N2 - A new strategy based on the stabilized space-time finite element formulation is proposed for computations involving moving boundaries and interfaces. In the deforming-spatial-domain/space-time (DSD/ST) procedure the variational formulation of a problem is written over its space-time domain, and therefore the deformation of the spatial domain with respect to time is taken into account automatically. Because the space-time mesh is generated over the space-time domain of the problem, within each time step, the boundary (or interface) nodes move with the boundary (or interface). Whether the motion of the boundary is specified or not, the strategy is nearly the same. If the motion of the boundary is unknown, then the boundary nodes move as defined by the other unknowns at the boundary (such as the velocity or the displacement). At the end of each time step a new spatial mesh covers the new spatial domain. For computational feasibility, the finite element interpolation functions are chosen to be discontinuous in time, and the fully discretized equations are solved one space-time slab at a time.

AB - A new strategy based on the stabilized space-time finite element formulation is proposed for computations involving moving boundaries and interfaces. In the deforming-spatial-domain/space-time (DSD/ST) procedure the variational formulation of a problem is written over its space-time domain, and therefore the deformation of the spatial domain with respect to time is taken into account automatically. Because the space-time mesh is generated over the space-time domain of the problem, within each time step, the boundary (or interface) nodes move with the boundary (or interface). Whether the motion of the boundary is specified or not, the strategy is nearly the same. If the motion of the boundary is unknown, then the boundary nodes move as defined by the other unknowns at the boundary (such as the velocity or the displacement). At the end of each time step a new spatial mesh covers the new spatial domain. For computational feasibility, the finite element interpolation functions are chosen to be discontinuous in time, and the fully discretized equations are solved one space-time slab at a time.

UR - http://www.scopus.com/inward/record.url?scp=0026820445&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026820445&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(92)90059-S

DO - 10.1016/0045-7825(92)90059-S

M3 - Article

VL - 94

SP - 339

EP - 351

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 3

ER -