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Scheme construction with numerical flux residual correction (NFRC) and group velocity control (GVC)
作者姓名:MA Yanwen  FU Dexun
作者单位:LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
摘    要:For simulating multi-scale complex flow fields like turbulent flows, the high order accurate schemes are preferred. In this paper, a scheme construction with numerical flux residual correction (NFRC) is presented. Any order accurate difference approximation can be obtained with the NFRC. To improve the resolution of the shock, the constructed schemes are modified with group velocity control (GVC) and weighted group velocity control (WGVC). The method of scheme construction is simple, and it is used to solve practical problems.

关 键 词:high  order  accurate  scheme    group  velocity  control    high  resolution  of  the  shock.

Scheme construction with numerical flux residual correction (NFRC) and group velocity control (GVC)
MA Yanwen,FU Dexun.Scheme construction with numerical flux residual correction (NFRC) and group velocity control (GVC)[J].Progress in Natural Science,2006,16(12):1252-1259.
Authors:MA Yanwen  FU Dexun
Abstract:For simulating multi-scale complex flow fields like turbulent flows, the high order accurate schemes are preferred. In this paper, a scheme construction with numerical flux residual correction (NFRC) is presented. Any order accurate difference approximation can be obtained with the NFRC. To improve the resolution of the shock, the constructed schemes are modified with group velocity control (GVC) and weighted group velocity control (WGVC). The method of scheme construction is simple, and it is used to solve practical problems.
Keywords:high order accurate scheme  group velocity control  high resolution of the shock
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