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人工选择耗散法抑制数值振荡
引用本文:王泽晖.人工选择耗散法抑制数值振荡[J].南昌大学学报(理科版),2005,29(4):327-332.
作者姓名:王泽晖
作者单位:南昌陆军学院,江西,南昌,330103
摘    要:通过在差分方程上加一耗散项,根据其系数的选取得到只对短波起作用,而对长波没有影响的人工选择耗散法。数值算例表明该方法具有良好的激波捕获能力和可移植性。得到均匀非对称网格上的人工选择耗散法,并把人工选择耗散法推广到二维问题。

关 键 词:人工选择耗散  DRP格式  短波  数值振荡
文章编号:1006-0464(2005)04-0327-06
收稿时间:2004-02-23
修稿时间:2004年2月23日

THE SUPPRESSION OF NUMERICAL OSCILLATIONS USING THE ARTIFICIAL SELECTIVE DAMPING TERMS
WANG Ze-hui.THE SUPPRESSION OF NUMERICAL OSCILLATIONS USING THE ARTIFICIAL SELECTIVE DAMPING TERMS[J].Journal of Nanchang University(Natural Science),2005,29(4):327-332.
Authors:WANG Ze-hui
Abstract:The idea of using the artificial selective damping terms to eliminate numerically generated oscillations is investigated. The feasibility and performance of the artificial damping strategy are demonstrated by direct numerical tests. These results show that the strategy can be used with common numerical schemes other than DRP scheme and can not only capture shock but also suppress oscillations. Based on asymmetric finite difference stencil and a varia- ble damping strategy for two-dimensional problem ,the variable artificial damping is obtained, where damping coefficient is chosen according to the gradient of the unknown vector.
Keywords:artifical selective damping strategy  dispersive-relation-preserving(DRP)scheme  short waves  numerical oscillations  
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