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Analyses of the Dispersion Overshoot and inverse dissipation of the High-Order Finite Difference Scheme

Advances in Applied Mathematics and Mechanics 2013年第6期5卷 809-824页

作者： Qin Li Qilong Guo Hanxin Zhang State Key Laboratory of Aerodynamics Mianyang 621000SichuanChina National Laboratory of Computational Fluid Dynamics Beijing University of Aeronautics and AstronauticsBeijing 100191China

Analyses were performed on the dispersion overshoot and inverse dissipation of the high-order finite difference scheme using Fourier and precision *** under discussion included the pointwise-and staggered-grid type,and were presented in weighted form using candidate schemes with third-order accuracy and three-point *** of these were commonly used in the construction of difference *** for the dispersion overshoot were presented and their critical states were *** kinds of instabilities were studied due to inverse dissipation,especially those that occur at lower wave *** for the occurrence were presented and the relationship of the two instabilities was *** were made between the analytical results and the dispersion/dissipation relations by Fourier transformation of typical *** an example,an application of the criteria was given for the remedy of inverse dissipation in Weirs&Mart´ın’s third-order scheme.

关键词： High-order difference scheme dispersion overshoot inverse dissipation

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