Effects of the fourth-order truncation error produced by discretizing the convection term (study on one-dimensional K-S equation and two-dimensional homogeneous turbulence)

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作者：
Ohtsuka, Masaya
Yamakawa, Masanori
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来源：
Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B | 1989年 / 55卷 / 511期
关键词：
Heat Transfer--Convection - Mathematical Techniques--Finite Difference Method;
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摘要：
The effect of the fourth-order truncation error produced by discretizing the convection term was studied on nonlinear characteristics of the solution for the instability of laminar flow and for fully developed turbulent flow. (1) Bifurcation was calculated by the third-order upwind difference method for the Kuramoto-Sivashinsky equation representing the instability of laminar flow. The fourth-order truncation error, however, affected the bifurcation characteristics, and error was introduced for the fourth-mode solution by the Kawamura scheme. (2) Energy spectrum calculated by the third-order upwind difference method for fully developed homogeneous turbulent-flow in two dimensions decayed rapidly in a high wave number region in comparison with the theoretical one because of the dissipation effect of the fourth-order truncation error.
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页码：592 / 597
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