Linear Fourier and Iteration-Delay Analysis of a Computational Fluid Dynamics Problem During Execution
作者： Joseph J. Cor , Timothy F. Miller , Joel D. Richter
DOI: 10.1080/10407790701443834
关键词: Chaos theory 、 Mathematical analysis 、 Instability 、 Computational fluid dynamics 、 Scalar (mathematics) 、 Von Neumann stability analysis 、 Fourier analysis 、 Fourier transform 、 Numerical stability 、 Mathematics
摘要: The basic equations for the Fourier error analysis are developed and then applied to scalar conservation equation of a sample computational fluid dynamics (CFD) problem in which variables continuously updated. helps explain features numerical stability. When divergence neutral stability encountered, provides insight into emergence location instability, but is not by itself found be sufficient indicator existence instability. Further central differencing cases made using variation on time-delay reconstruction, from chaos theory.
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