Space-time discontinuous Galerkin finite element methods

Jacobus J.W. van der Vegt

Space-time discontinuous Galerkin finite element methods

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

311 Downloads (Pure)

Abstract

In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. the space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG disctretization and the relation between the space-time DG method and an arbitrary lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.

Original language	Undefined
Title of host publication	34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws
Editors	H. Deconinck, M. Ricchiuto
Place of Publication	Brussels, Belgium
Publisher	Von Karman Institute for Fluid Dynamics
Pages	1-37
Number of pages	37
ISBN (Print)	2-930389-63-X
Publication status	Published - 2006
Event	34TH CFD -Higher Order Discretization Methods - Rhode-St-Genese, Belgium Duration: 14 Nov 2005 → 18 Nov 2005

Publication series

Name	VKI Lecture Series
Publisher	Von Karman Institute for Fluid Dynamics
Volume	2006-01
ISSN (Print)	0377-8312

Conference

Conference	34TH CFD -Higher Order Discretization Methods
Period	14/11/05 → 18/11/05
Other	November 14-18, 2005

Keywords

IR-76039
EWI-12211

Access to Document

http://www.vki.ac.be

Cite this

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title = "Space-time discontinuous Galerkin finite element methods",

abstract = "In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. the space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG disctretization and the relation between the space-time DG method and an arbitrary lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.",

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series = "VKI Lecture Series",

publisher = "Von Karman Institute for Fluid Dynamics",

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editor = "H. Deconinck and M. Ricchiuto",

booktitle = "34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws",

note = "34TH CFD -Higher Order Discretization Methods ; Conference date: 14-11-2005 Through 18-11-2005",

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van der Vegt, JJW 2006, Space-time discontinuous Galerkin finite element methods. in H Deconinck & M Ricchiuto (eds), 34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws. VKI Lecture Series, vol. 2006-01, Von Karman Institute for Fluid Dynamics, Brussels, Belgium, pp. 1-37, 34TH CFD -Higher Order Discretization Methods, 14/11/05. <http://www.vki.ac.be>

Space-time discontinuous Galerkin finite element methods. / van der Vegt, Jacobus J.W.
34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws. ed. / H. Deconinck; M. Ricchiuto. Brussels, Belgium: Von Karman Institute for Fluid Dynamics, 2006. p. 1-37 (VKI Lecture Series; Vol. 2006-01).

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

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AU - van der Vegt, Jacobus J.W.

PY - 2006

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N2 - In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. the space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG disctretization and the relation between the space-time DG method and an arbitrary lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.

AB - In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. the space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG disctretization and the relation between the space-time DG method and an arbitrary lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.

KW - IR-76039

KW - EWI-12211

M3 - Chapter

SN - 2-930389-63-X

T3 - VKI Lecture Series

SP - 1

EP - 37

BT - 34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws

A2 - Deconinck, H.

A2 - Ricchiuto, M.

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Y2 - 14 November 2005 through 18 November 2005

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