A (dis)continuous finite element model for generalized 2D vorticity dynamics

E. Bernsen; Onno Bokhove; Jacobus J.W. van der Vegt

A (dis)continuous finite element model for generalized 2D vorticity dynamics

E. Bernsen, Onno Bokhove, Jacobus J.W. van der Vegt

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

16 Citations (Scopus)

92 Downloads (Pure)

Abstract

A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite-element model are the allowance of complex shaped domains and (fixed) mesh refinement, and a (spatial) discretization preserving energy and vorticity, while the discrete enstrophy is $L^2$-stable. Verification examples support our error estimates. The method is fully described in Bernsen et al. (2005, 2006). To illustrate our method, we therefore focus here on finite-element simulations of curved critical layers in two-dimensional vortical flows using our (dis)continuous Galerkin finite element method.

Original language	Undefined
Title of host publication	Proceedings ECCOMAS CFD 2006
Editors	P. Wesseling, E Onate, J. Periaux
Publisher	Delft University of Technology
Pages	-
Number of pages	8
ISBN (Print)	90-9020970-0
Publication status	Published - 5 Sept 2006
Event	4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 - Egmond aan Zee, Netherlands Duration: 5 Sept 2006 → 8 Sept 2006 Conference number: 4

Publication series

Name	CD Rom ECCOMAS group
Publisher	TU Delft
Number	2

Conference

Conference	4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006
Abbreviated title	ECCOMAS ECFD
Country/Territory	Netherlands
City	Egmond aan Zee
Period	5/09/06 → 8/09/06

Keywords

EWI-7551
IR-66514
METIS-238233

Access to Document

http://proceedings.fyper.com/eccomascfd2006/htmlfiles/96.html

Cite this

@inproceedings{26874f1202b34b0896903cffe949a16f,

title = "A (dis)continuous finite element model for generalized 2D vorticity dynamics",

abstract = "A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite-element model are the allowance of complex shaped domains and (fixed) mesh refinement, and a (spatial) discretization preserving energy and vorticity, while the discrete enstrophy is $L^2$-stable. Verification examples support our error estimates. The method is fully described in Bernsen et al. (2005, 2006). To illustrate our method, we therefore focus here on finite-element simulations of curved critical layers in two-dimensional vortical flows using our (dis)continuous Galerkin finite element method.",

keywords = "EWI-7551, IR-66514, METIS-238233",

author = "E. Bernsen and Onno Bokhove and {van der Vegt}, {Jacobus J.W.}",

note = "Paper 96; 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 ; Conference date: 05-09-2006 Through 08-09-2006",

year = "2006",

month = sep,

day = "5",

language = "Undefined",

isbn = "90-9020970-0",

series = "CD Rom ECCOMAS group",

publisher = "Delft University of Technology",

number = "2",

pages = "--",

editor = "P. Wesseling and E Onate and J. Periaux",

booktitle = "Proceedings ECCOMAS CFD 2006",

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Bernsen, E, Bokhove, O & van der Vegt, JJW 2006, A (dis)continuous finite element model for generalized 2D vorticity dynamics. in P Wesseling, E Onate & J Periaux (eds), Proceedings ECCOMAS CFD 2006. CD Rom ECCOMAS group, no. 2, Delft University of Technology, pp. -, 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006, Egmond aan Zee, Netherlands, 5/09/06. <http://proceedings.fyper.com/eccomascfd2006/htmlfiles/96.html>

A (dis)continuous finite element model for generalized 2D vorticity dynamics. / Bernsen, E.; Bokhove, Onno; van der Vegt, Jacobus J.W.
Proceedings ECCOMAS CFD 2006. ed. / P. Wesseling; E Onate; J. Periaux. Delft University of Technology, 2006. p. - (CD Rom ECCOMAS group; No. 2).

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

TY - GEN

T1 - A (dis)continuous finite element model for generalized 2D vorticity dynamics

AU - Bernsen, E.

AU - Bokhove, Onno

AU - van der Vegt, Jacobus J.W.

N1 - Conference code: 4

PY - 2006/9/5

Y1 - 2006/9/5

N2 - A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite-element model are the allowance of complex shaped domains and (fixed) mesh refinement, and a (spatial) discretization preserving energy and vorticity, while the discrete enstrophy is $L^2$-stable. Verification examples support our error estimates. The method is fully described in Bernsen et al. (2005, 2006). To illustrate our method, we therefore focus here on finite-element simulations of curved critical layers in two-dimensional vortical flows using our (dis)continuous Galerkin finite element method.

AB - A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite-element model are the allowance of complex shaped domains and (fixed) mesh refinement, and a (spatial) discretization preserving energy and vorticity, while the discrete enstrophy is $L^2$-stable. Verification examples support our error estimates. The method is fully described in Bernsen et al. (2005, 2006). To illustrate our method, we therefore focus here on finite-element simulations of curved critical layers in two-dimensional vortical flows using our (dis)continuous Galerkin finite element method.

KW - EWI-7551

KW - IR-66514

KW - METIS-238233

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BT - Proceedings ECCOMAS CFD 2006

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A2 - Onate, E

A2 - Periaux, J.

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