JAXA Repository / AIREX 未来へ続く、宙(そら)への英知
63878000.pdf931.28 kB
Other TitleAn example of inconsistency between continuous and discrete models
Author(jpn)相曽 秀昭; Abouziarov, Moustafa
Author(eng)Aiso, Hideaki; Abouziarov, Moustafa
Author Affiliation(jpn)宇宙航空研究開発機構; Nizhni-Novgorod State University Institute of Mechanics
Author Affiliation(eng)Japan Aerospace Exploration Agency; Nizhni-Novgorod State University Institute of Mechanics
Issue Date2007-03-30
PublisherJapan Aerospace Exploration Agency (JAXA)
Publication date2007-03-30
AbstractIn numerical simulation two kinds of mathematical models are usually used, continuous models and discontinuous models. The continuous models are used to describe the target phenomena that are numerically computed, but the models can not be directly used in digital computation. Another kind of models, the discrete models, are needed. The discrete models have been often regarded just as conventional tools to approximate the original continuous models. But the discrete models are also independent models and the viewpoint to consistency between continuous and discrete models with respect to the inheritance of various properties would be useful to establish the reliability of numerical simulation. As an example of discussion on consistency between the both models, we are concerned with the carbuncle phenomenon, a kind of instability that happens in numerical computation for compressible Euler equations. Through numerical experiments we show that the occurrence of instability is closely related with some linearized stability of discrete temporal evolution.
DescriptionJAXA Research and Development Report
Keywordscomputerized simulation; continuity; differential equation; discretization; Carbuncle instability; Euler equation of motion; shock wave; shock wave propagation; compressible flow; 計算機シミュレーション; 連続性; 微分方程式; 離散化; カーバンクル不安定性; オイラー運動方程式; 衝撃波; 衝撃波伝搬; 圧縮性流れ
Document TypeTechnical Report
JAXA Category研究開発報告
Report NoJAXA-RR-06-050

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.