The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme

M.J. van Haaren; A.H. van den Boogaard; H.C. Stoker; J. Huétink

The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme

M.J. van Haaren
, A.H. van den Boogaard
, H.C. Stoker
, J. Huétink

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

This study investigates the Eulerian step of a split ALE nite element method for quadratic triangular elements. To solve the convection equation for integration point values, a new method is constructed, directly based on integration point values without using intermediate nodal values. The Molenkamp test and a so-called block test were executed to check the performance and stability of the convection scheme. From these tests it is concluded that the new convection scheme shows accurate results.

Original language	English
Title of host publication	Proceedings of the 2nd ESAFORM Conference on Material Forming
Subtitle of host publication	University of Minho, Department of Polymer Engineering, Guimarães, Portugal, [13-17 April 1999]
Publisher	Universidade do Minho
Pages	581-584
ISBN (Print)	972-98103-0-3
Publication status	Published - 1999
Event	ESAFORM 1999: 2nd ESAFORM Conference on Material Forming - Guimaraes, Portugal Duration: 13 Apr 1999 → 16 Apr 1999 Conference number: 2

Conference

Conference	ESAFORM 1999
Abbreviated title	ESAFORM
Country/Territory	Portugal
City	Guimaraes
Period	13/04/99 → 16/04/99

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van Haaren, M. J., van den Boogaard, A. H., Stoker, H. C., & Huétink, J. (1999). The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme. In Proceedings of the 2nd ESAFORM Conference on Material Forming: University of Minho, Department of Polymer Engineering, Guimarães, Portugal, [13-17 April 1999] (pp. 581-584). Universidade do Minho.

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title = "The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme",

abstract = "This study investigates the Eulerian step of a split ALE nite element method for quadratic triangular elements. To solve the convection equation for integration point values, a new method is constructed, directly based on integration point values without using intermediate nodal values. The Molenkamp test and a so-called block test were executed to check the performance and stability of the convection scheme. From these tests it is concluded that the new convection scheme shows accurate results.",

author = "\{van Haaren\}, M.J. and \{van den Boogaard\}, A.H. and H.C. Stoker and J. Hu{\'e}tink",

year = "1999",

language = "English",

isbn = "972-98103-0-3",

pages = "581--584",

booktitle = "Proceedings of the 2nd ESAFORM Conference on Material Forming",

publisher = "Universidade do Minho",

address = "Portugal",

note = "ESAFORM 1999 : 2nd ESAFORM Conference on Material Forming, ESAFORM ; Conference date: 13-04-1999 Through 16-04-1999",

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van Haaren, MJ, van den Boogaard, AH, Stoker, HC & Huétink, J 1999, The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme. in Proceedings of the 2nd ESAFORM Conference on Material Forming: University of Minho, Department of Polymer Engineering, Guimarães, Portugal, [13-17 April 1999]. Universidade do Minho, pp. 581-584, ESAFORM 1999, Guimaraes, Portugal, 13/04/99.

The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme. / van Haaren, M.J.; van den Boogaard, A.H.; Stoker, H.C. et al.
Proceedings of the 2nd ESAFORM Conference on Material Forming: University of Minho, Department of Polymer Engineering, Guimarães, Portugal, [13-17 April 1999]. Universidade do Minho, 1999. p. 581-584.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The arbitrary Lagrangian-Eulerian method on grids of triangular elements

T2 - ESAFORM 1999

AU - van Haaren, M.J.

AU - van den Boogaard, A.H.

AU - Stoker, H.C.

AU - Huétink, J.

N1 - Conference code: 2

PY - 1999

Y1 - 1999

N2 - This study investigates the Eulerian step of a split ALE nite element method for quadratic triangular elements. To solve the convection equation for integration point values, a new method is constructed, directly based on integration point values without using intermediate nodal values. The Molenkamp test and a so-called block test were executed to check the performance and stability of the convection scheme. From these tests it is concluded that the new convection scheme shows accurate results.

AB - This study investigates the Eulerian step of a split ALE nite element method for quadratic triangular elements. To solve the convection equation for integration point values, a new method is constructed, directly based on integration point values without using intermediate nodal values. The Molenkamp test and a so-called block test were executed to check the performance and stability of the convection scheme. From these tests it is concluded that the new convection scheme shows accurate results.

M3 - Conference contribution

SN - 972-98103-0-3

SP - 581

EP - 584

BT - Proceedings of the 2nd ESAFORM Conference on Material Forming

PB - Universidade do Minho

Y2 - 13 April 1999 through 16 April 1999

ER -

The arbitrary Lagrangian-Eulerian method on grids of triangular elements: a new convection scheme

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