### Abstract

Original language | English |
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Title of host publication | Proceedings of the 28th Computational Fluid Dynamics; 3-7 March 1997, Von Karman Institute for Fluid Dynamics Rhode-Saint Genese |

Editors | H. Deconinck |

Place of Publication | Rhode-Saint-Genèse |

Publisher | Von Karman Institute for Fluid Dynamics |

Pages | 1-25 |

Publication status | Published - 1997 |

### Publication series

Name | VKI LS |
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Volume | 1997-02 |

ISSN (Print) | 0377-8312 |

### Fingerprint

### Cite this

*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.

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*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.

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

TY - GEN

T1 - Solution-adaptive multigrid for steady gas dynamics problems

AU - Hemker, P.W.

AU - Koren, B.

AU - Lioen, W.M.

AU - Nool, M.

AU - Maarel, van der, H.T.M.

PY - 1997

Y1 - 1997

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.

AB - 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.

M3 - Conference contribution

T3 - VKI LS

SP - 1

EP - 25

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

A2 - Deconinck, H.

PB - Von Karman Institute for Fluid Dynamics

CY - Rhode-Saint-Genèse

ER -