### Samenvatting

Numerical entropy generation is studied in the case of steady, subsonic Euler flow along a kinked wall. For a standard upwind finite volume discretization, the numerical entropy error appears to be zeroth-order in mesh size. Two possible causes of the zeroth-order entropy error are studied. First an investigation is made of the local discretization error on a kinked grid. In the neighbourhood of the kink, this error appears to be zeroth-order as well. For supersonic flow it can be easily removed. However, it seems that the zeroth-order entropy error is yet not caused by the zeroth-order discretization error. Next a study is made of the existence of a singularity in the exact solution. Probably, the Euler flow solution is singular at the kink in the wall. The form of the likely singularity is unknown. Therefore, the construction of a computational method which uses a priori knowledge of the singularity is not possible. Finally it is shown by numerical experiment that the subsonic Euler flow along a kinked wall still can be computed with vanishing entropy errors, by using a continuously
curved wall which converges to the kinked wall in the limit of zero mesh width.

Originele taal-2 | Engels |
---|---|

Titel | Integration of Theory and Applications in Applied Mechanics : Choice of Papers Presented at the First National Mechanics Congress, 2-4 April 1990, Rolduc, Kerkrade, The Netherlands |

Redacteuren | J.F. Dijksman, F.T.M. Nieuwstadt |

Plaats van productie | Dordrecht |

Uitgeverij | Kluwer Academic Publishers |

Pagina's | 315-328 |

ISBN van geprinte versie | 0-7923-0921-9 |

Status | Gepubliceerd - 1990 |

Extern gepubliceerd | Ja |

Evenement | conference; First National Mechanics Congress; 1990-04-02; 1990-04-04 - Duur: 2 apr 1990 → 4 apr 1990 |

### Congres

Congres | conference; First National Mechanics Congress; 1990-04-02; 1990-04-04 |
---|---|

Periode | 2/04/90 → 4/04/90 |

Ander | First National Mechanics Congress |

## Vingerafdruk Duik in de onderzoeksthema's van 'Entropy errors in the numerical approximation of the Euler flow along a kinked wall'. Samen vormen ze een unieke vingerafdruk.

## Citeer dit

Maarel, van der, H. T. M., & Koren, B. (1990). Entropy errors in the numerical approximation of the Euler flow along a kinked wall. In J. F. Dijksman, & F. T. M. Nieuwstadt (editors),

*Integration of Theory and Applications in Applied Mechanics : Choice of Papers Presented at the First National Mechanics Congress, 2-4 April 1990, Rolduc, Kerkrade, The Netherlands*(blz. 315-328). Kluwer Academic Publishers.