JAXA Repository / AIREX 未来へ続く、宙(そら)への英知
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Other TitleConsistency between continuous and discrete models and reliability
Author(jpn)相曽 秀昭
Author(eng)Aiso, Hideaki
Author Affiliation(jpn)宇宙航空研究開発機構 総合技術研究本部
Author Affiliation(eng)Japan Aerospace Exploration Agency Institute of Aerospace Technology
Issue Date2008-02-29
PublisherJapan Aerospace Exploration Agency (JAXA)
Publication title第39回流体力学講演会/航空宇宙数値シミュレーション技術シンポジウム2007論文集
Proceedings of 39th Fluid Dynamics Conference/Aerospace Numerical Simulation Symposium 2007
Start page75
End page80
Publication date2008-02-29
AbstractNumerical computation of differential equations usually needs some discretization of the original equation. The discretization is called discrete (or discretized) model, while the original differential equation is called continuous model. The properties of both models are expected to be of exact coincidence, but there is always some inconsistency between them. In such a situation, we need to know the inconsistency in order to understand what a result of numerical computation means. Otherwise we might misunderstand it to regard a specific behavior of numerical solution coming from the property of discrete model but not from that of continuous one as a part of behavior of the original equation's solution. Here we show some trial to analyze the numerical instability that occurs in numerical calculation of shock waves, where occurs a typical example of inconsistency between the continuous and discrete models.
DescriptionJAXA Special Publication
Keywordsnumerical analysis; differential equation; discrete model; discretization; convergence; truncation error; linear stability; two dimensional model; compressible fluid; shock wave; Euler equation of motion; 数値解析; 微分方程式; 離散モデル; 離散化; 収束; 打切誤差; 線形安定性; 2次元モデル; 圧縮性流体; 衝撃波; オイラー運動方程式
Document TypeConference Paper
JAXA Category特別資料
Report NoJAXA-SP-07-016

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