Semi implicit second order discontinuous Galerkin convection for ALE calculations

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Abstract

Element results are in general discontinuous across element boundaries. In the ALE method and related moving element methods convection of these data with respect to the element grid is required. The Discontinuous Galerkin Method provides an obvious choice for discretization of this convective process. In order to assure stability and accuracy at large step sizes (large values of the Courant number), the Discontinuous Galerkin method is extended to second order. This is not sufficient to obtain an attractive stability region. Therefore the equations are enriched with selective implicit terms. This results in a remarkably stable convection scheme without the use of any explicit limiting. Results are shown of a standard pure advection test problem, the Molenkamp test and of an extrusion simulation, which resembles convection with source terms
Original languageEnglish
Title of host publicationEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM
Place of PublicationBarcelona, Spain
Pages-
Number of pages13
Publication statusPublished - 14 Dec 2000

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Galerkin method
convection
extrusion
advection
simulation
calculation
method
test

Keywords

  • METIS-145487
  • IR-59340

Cite this

Geijselaers, H. J. M., & Huetink, H. (2000). Semi implicit second order discontinuous Galerkin convection for ALE calculations. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM (pp. -). Barcelona, Spain.
Geijselaers, Hubertus J.M. ; Huetink, Han. / Semi implicit second order discontinuous Galerkin convection for ALE calculations. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM. Barcelona, Spain, 2000. pp. -
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Geijselaers, HJM & Huetink, H 2000, Semi implicit second order discontinuous Galerkin convection for ALE calculations. in European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM. Barcelona, Spain, pp. -.

Semi implicit second order discontinuous Galerkin convection for ALE calculations. / Geijselaers, Hubertus J.M.; Huetink, Han.

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM. Barcelona, Spain, 2000. p. -.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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T1 - Semi implicit second order discontinuous Galerkin convection for ALE calculations

AU - Geijselaers, Hubertus J.M.

AU - Huetink, Han

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N2 - Element results are in general discontinuous across element boundaries. In the ALE method and related moving element methods convection of these data with respect to the element grid is required. The Discontinuous Galerkin Method provides an obvious choice for discretization of this convective process. In order to assure stability and accuracy at large step sizes (large values of the Courant number), the Discontinuous Galerkin method is extended to second order. This is not sufficient to obtain an attractive stability region. Therefore the equations are enriched with selective implicit terms. This results in a remarkably stable convection scheme without the use of any explicit limiting. Results are shown of a standard pure advection test problem, the Molenkamp test and of an extrusion simulation, which resembles convection with source terms

AB - Element results are in general discontinuous across element boundaries. In the ALE method and related moving element methods convection of these data with respect to the element grid is required. The Discontinuous Galerkin Method provides an obvious choice for discretization of this convective process. In order to assure stability and accuracy at large step sizes (large values of the Courant number), the Discontinuous Galerkin method is extended to second order. This is not sufficient to obtain an attractive stability region. Therefore the equations are enriched with selective implicit terms. This results in a remarkably stable convection scheme without the use of any explicit limiting. Results are shown of a standard pure advection test problem, the Molenkamp test and of an extrusion simulation, which resembles convection with source terms

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Geijselaers HJM, Huetink H. Semi implicit second order discontinuous Galerkin convection for ALE calculations. In European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, published on CD-ROM. Barcelona, Spain. 2000. p. -