| タイトル | Development of upwind schemes for the Euler equations |
| 本文(外部サイト) | http://hdl.handle.net/2060/19870005755 |
| 著者(英) | Chakravarthy, Sukumar R. |
| 著者所属(英) | Rockwell International Science Center |
| 発行日 | 1987-01-01 |
| 言語 | eng |
| 内容記述 | Described are many algorithmic and computational aspects of upwind schemes and their second-order accurate formulations based on Total-Variation-Diminishing (TVD) approaches. An operational unification of the underlying first-order scheme is first presented encompassing Godunov's, Roe's, Osher's, and Split-Flux methods. For higher order versions, the preprocessing and postprocessing approaches to constructing TVD discretizations are considered. TVD formulations can be used to construct relaxation methods for unfactored implicit upwind schemes, which in turn can be exploited to construct space-marching procedures for even the unsteady Euler equations. A major part of the report describes time- and space-marching procedures for solving the Euler equations in 2-D, 3-D, Cartesian, and curvilinear coordinates. Along with many illustrative examples, several results of efficient computations on 3-D supersonic flows with subsonic pockets are presented. |
| NASA分類 | AERODYNAMICS |
| レポートNO | 87N15188 NAS 1.26:4043 SC5388.40FR NASA-CR-4043 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/152564 |
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