### Abstract

Large-scale flow simulation strategies involving implicit finite element formulations are described in the context of incompressible flows. The stabilized space-time formulation for problems involving moving boundaries and interfaces is presented, followed by a discussion of mesh moving schemes. The methods of solution of large linear systems of equations are reviewed, and an implementation of the entire finite element code, permitting the use of totally unstructured meshes, on a massively parallel supercomputer is considered. As an example, this methodology is applied to a flow problem involving three-dimensional simulation of liquid sloshing in a tank subjected to vertical vibrations.

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

Pages (from-to) | 3-24 |

Number of pages | 22 |

Journal | Computer Methods in Applied Mechanics and Engineering |

Volume | 112 |

Issue number | 1-4 |

DOIs | |

Publication status | Published - 1994 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications

### Cite this

**Finite element solution strategies for large-scale flow simulations.** / Behr, M.; Tezduyar, Tayfun E.

Research output: Contribution to journal › Article

*Computer Methods in Applied Mechanics and Engineering*, vol. 112, no. 1-4, pp. 3-24. https://doi.org/10.1016/0045-7825(94)90016-7

}

TY - JOUR

T1 - Finite element solution strategies for large-scale flow simulations

AU - Behr, M.

AU - Tezduyar, Tayfun E.

PY - 1994

Y1 - 1994

N2 - Large-scale flow simulation strategies involving implicit finite element formulations are described in the context of incompressible flows. The stabilized space-time formulation for problems involving moving boundaries and interfaces is presented, followed by a discussion of mesh moving schemes. The methods of solution of large linear systems of equations are reviewed, and an implementation of the entire finite element code, permitting the use of totally unstructured meshes, on a massively parallel supercomputer is considered. As an example, this methodology is applied to a flow problem involving three-dimensional simulation of liquid sloshing in a tank subjected to vertical vibrations.

AB - Large-scale flow simulation strategies involving implicit finite element formulations are described in the context of incompressible flows. The stabilized space-time formulation for problems involving moving boundaries and interfaces is presented, followed by a discussion of mesh moving schemes. The methods of solution of large linear systems of equations are reviewed, and an implementation of the entire finite element code, permitting the use of totally unstructured meshes, on a massively parallel supercomputer is considered. As an example, this methodology is applied to a flow problem involving three-dimensional simulation of liquid sloshing in a tank subjected to vertical vibrations.

UR - http://www.scopus.com/inward/record.url?scp=0028372424&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028372424&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(94)90016-7

DO - 10.1016/0045-7825(94)90016-7

M3 - Article

AN - SCOPUS:0028372424

VL - 112

SP - 3

EP - 24

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 1-4

ER -