Solution-adaptive multigrid for steady gas dynamics problems

P.W. Hemker, B. Koren, W.M. Lioen, M. Nool, H.T.M. Maarel, van der

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

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Abstract

This paper consists of two parts. In the first part we give a review of a good multigrid method for solving the steady Euler equations of gas dynamics on a locally refined mesh. The method is self-adaptive and makes use of unstructured grids that can be considered as parts of a nested sequence of structured grids. It is briefly described and applied to some steady Euler-flow problems. The method appears to be much more accurate and efficient than the corresponding multigrid method that applies global refinements only. In the second part of the paper, vectorisation of the code is treated. To enable this vectorisation, index arrays are introduced and added to the quad-tree type data-structure that is applied in the scalar case. Speed-up factors are given for the same test cases as considered in the first part of the paper. The results are most satisfactory.
Original languageEnglish
Title of host publicationProceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese
EditorsH. Deconinck
Place of PublicationRhode-Saint-Genèse
PublisherVon Karman Institute for Fluid Dynamics
Pages1-25
Publication statusPublished - 1997

Publication series

NameVKI LS
Volume1997-02
ISSN (Print)0377-8312

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Gas dynamics
Euler equations

Cite this

Hemker, P. W., Koren, B., Lioen, W. M., Nool, M., & Maarel, van der, H. T. M. (1997). Solution-adaptive multigrid for steady gas dynamics problems. In H. Deconinck (Ed.), Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese (pp. 1-25). (VKI LS; Vol. 1997-02). Rhode-Saint-Genèse: Von Karman Institute for Fluid Dynamics.
Hemker, P.W. ; Koren, B. ; Lioen, W.M. ; Nool, M. ; Maarel, van der, H.T.M. / Solution-adaptive multigrid for steady gas dynamics problems. Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese. editor / H. Deconinck. Rhode-Saint-Genèse : Von Karman Institute for Fluid Dynamics, 1997. pp. 1-25 (VKI LS).
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title = "Solution-adaptive multigrid for steady gas dynamics problems",
abstract = "This paper consists of two parts. In the first part we give a review of a good multigrid method for solving the steady Euler equations of gas dynamics on a locally refined mesh. The method is self-adaptive and makes use of unstructured grids that can be considered as parts of a nested sequence of structured grids. It is briefly described and applied to some steady Euler-flow problems. The method appears to be much more accurate and efficient than the corresponding multigrid method that applies global refinements only. In the second part of the paper, vectorisation of the code is treated. To enable this vectorisation, index arrays are introduced and added to the quad-tree type data-structure that is applied in the scalar case. Speed-up factors are given for the same test cases as considered in the first part of the paper. The results are most satisfactory.",
author = "P.W. Hemker and B. Koren and W.M. Lioen and M. Nool and {Maarel, van der}, H.T.M.",
year = "1997",
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series = "VKI LS",
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Hemker, PW, Koren, B, Lioen, WM, Nool, M & Maarel, van der, HTM 1997, Solution-adaptive multigrid for steady gas dynamics problems. in H Deconinck (ed.), Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese. VKI LS, vol. 1997-02, Von Karman Institute for Fluid Dynamics, Rhode-Saint-Genèse, pp. 1-25.

Solution-adaptive multigrid for steady gas dynamics problems. / Hemker, P.W.; Koren, B.; Lioen, W.M.; Nool, M.; Maarel, van der, H.T.M.

Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese. ed. / H. Deconinck. Rhode-Saint-Genèse : Von Karman Institute for Fluid Dynamics, 1997. p. 1-25 (VKI LS; Vol. 1997-02).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

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N2 - This paper consists of two parts. In the first part we give a review of a good multigrid method for solving the steady Euler equations of gas dynamics on a locally refined mesh. The method is self-adaptive and makes use of unstructured grids that can be considered as parts of a nested sequence of structured grids. It is briefly described and applied to some steady Euler-flow problems. The method appears to be much more accurate and efficient than the corresponding multigrid method that applies global refinements only. In the second part of the paper, vectorisation of the code is treated. To enable this vectorisation, index arrays are introduced and added to the quad-tree type data-structure that is applied in the scalar case. Speed-up factors are given for the same test cases as considered in the first part of the paper. The results are most satisfactory.

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BT - Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese

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Hemker PW, Koren B, Lioen WM, Nool M, Maarel, van der HTM. Solution-adaptive multigrid for steady gas dynamics problems. In Deconinck H, editor, Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese. Rhode-Saint-Genèse: Von Karman Institute for Fluid Dynamics. 1997. p. 1-25. (VKI LS).