JAXA Special Publication: Proceedings of Aerospace Numerical Simulation Symposium 2006
巻
JAXA-SP-06-010
ページ
145 - 150
発行年
2006-12-01
抄録（英）
Numerical 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.
流体計算における数値的不都合
63154027.pdf
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