| Автор | Bastin, Jérôme |
| Автор | Rogé, Gilbert |
| Дата выпуска | 1999 |
| dc.description | The fluctuation splitting schemes were introduced by Roe in the beginning of the 80's and have been then developed since then, essentially thanks to Deconinck. In this paper, the fluctuation splitting schemes formalism is recalled. Then, the hyperbolic/elliptic decomposition of the three dimensional Euler equations is presented. This decomposition leads to an acoustic subsystem and two scalar advection equations, one of them being the entropy advection. Thanks to this decomposition, the two scalar equations are treated with the well known PSI scalar fluctuation splitting scheme, and the acoustic subsystem is treated with the Lax Wendroff matrix fluctuation splitting scheme. An additional viscous term is introduced in order to reduce the oscillatory behavior of the Lax Wendroff scheme. An implicit form leads to a robust scheme which enables computations over a large range of Mach number. This fluctuation splitting scheme, called the Lax Wendroff - PSI scheme, produces little spurious entropy, thus leading to accurate drag predictions. Numerical results obtained with this Lax Wendroff PSI scheme are presented and compared to a reference Euler code, based on a Lax Wendroff scheme. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | 3D Euler equations |
| Тема | robust fluctuation splitting scheme |
| Тема | large range of Mach number |
| Тема | accurate flow computations. |
| Название | A multidimensional fluctuation splitting scheme for the three dimensional Euler equations |
| Тип | research-article |
| DOI | 10.1051/m2an:1999143 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 33 |
| Первая страница | 1241 |
| Последняя страница | 1259 |
| Аффилиация | Bastin Jérôme; École Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne la Vallée Cedex 2, France. |
| Аффилиация | Rogé Gilbert; Dassault Aviation, DGT, DPR, DESA, 78 quai Marcel Dassault, 92214 Saint-Cloud, France. gilbert.roge@dassault-aviation.fr. |
| Выпуск | 6 |
