### Abstract

Original language | Undefined |
---|---|

Number of pages | 4 |

Publication status | Published - 2001 |

Event | ESAFORM 2001: 4th International ESAFORM Conference on Material Forming - Liège, Belgium Duration: 23 Apr 2001 → 25 Apr 2001 Conference number: 4 |

### Conference

Conference | ESAFORM 2001 |
---|---|

Abbreviated title | ESAFORM |

Country | Belgium |

City | Liège |

Period | 23/04/01 → 25/04/01 |

### Keywords

- IR-59382

### Cite this

*Convection by means of least squares projection for ALE calculations*. Paper presented at ESAFORM 2001, Liège, Belgium.

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**Convection by means of least squares projection for ALE calculations.** / Geijselaers, Hubertus J.M.; Huetink, Han.

Research output: Contribution to conference › Paper

TY - CONF

T1 - Convection by means of least squares projection for ALE calculations

AU - Geijselaers, Hubertus J.M.

AU - Huetink, Han

PY - 2001

Y1 - 2001

N2 - Element result data are in general discontinuous across element boundaries. In the ALE method convection of these data with respect to the element grid is required. In this paper we present a convection method, which is based on a least squares projection. For moderate convective displacements it is reformulated in terms of a field integral and boundary flux terms. For one dimensional problems the method can be shown to be third order in space. For two dimensional problems the method is stable for Courant numbers upto 1.05. Based on this method a simplification is suggested where the calculation of gradients of fields in upwind elements is not needed. This simplification is paid for by a slight decrease in stability. A maximum Courant number of 0.72 is still attainable. The methods are outlined in one dimension, results are shown of two dimensional calculations

AB - Element result data are in general discontinuous across element boundaries. In the ALE method convection of these data with respect to the element grid is required. In this paper we present a convection method, which is based on a least squares projection. For moderate convective displacements it is reformulated in terms of a field integral and boundary flux terms. For one dimensional problems the method can be shown to be third order in space. For two dimensional problems the method is stable for Courant numbers upto 1.05. Based on this method a simplification is suggested where the calculation of gradients of fields in upwind elements is not needed. This simplification is paid for by a slight decrease in stability. A maximum Courant number of 0.72 is still attainable. The methods are outlined in one dimension, results are shown of two dimensional calculations

KW - IR-59382

M3 - Paper

ER -