Implicit CIP(Cubic-Interpolated Propagation)Method in Two Dimensions
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概要
- 論文の詳細を見る
An implicit cubic-interpolated propagation(CIP)method for 2D hyperbolic equations is developed. By reconsidering the derivation of a 1D implicit solver, extension to multi-dimensions becomes straightforward. The two-dimensional form is numerically solved by two different approaches, that is, by adopting a directional-splitting technique and by deriving an implicit formulation directly without using directional-splitting. We found that higher order correction terms proportional to Δt^2 are required in a non-splitting case, while these terms are already included intrinsically in a splitting scheme. Furthermore, we have pointed out that the determination of a profile becomes quite important for implicit calculation, and the interpolation function must be carefully selected to obtain a symmetric profile.
- 一般社団法人日本機械学会の論文
- 1997-08-15
著者
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Yabe Takashi
Department Of Electronic Engineering Gunma University
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Aoki Takayuki
Department Of Energy Sciences Tokyo Institute Of Technology
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MAKUUCHI Hidekazu
Department of Applied Physics, Tokyo Institute of Technology
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Yabe Takashi
Department Of Energy Sciences The Graduate School At Nagatsuta Tokyo Institute Of Technology
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Makuuchi H
Department Of Energy Sciences The Graduate School At Nagatsuta Tokyo Institute Of Technology
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Makuuchi Hidekazu
Department Of Applied Physics Tokyo Institute Of Technology
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Aoki Takayuki
Department Of Energy Sciences The Graduate School At Nagatsuta Tokyo Institute Of Technology
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Yabe Takashi
Department Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8550, Japan
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