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一种MWENO格式的构造和应用
引用本文:朱君,赵宁. 一种MWENO格式的构造和应用[J]. 空气动力学学报, 2005, 23(3): 330-333,306
作者姓名:朱君  赵宁
作者单位:南京航空航天大学,江苏,南京,210016;南京航空航天大学,江苏,南京,210016
基金项目:国家自然科学基金,航空基础科学基金,南京航空航天大学校科研和教改项目
摘    要:
在结构网格上提出了一种新的在混合模板集上守恒量插值的非线性权系数计算方法,构造了一种多重加权实质无波动激波捕捉格式,即所谓的MWENO(Multi-Weighted Essentially Non-Oscillatory)格式.与DWENO(Double Weighted Essentially Non-Oscillatory)格式相比非线性权系数的计算不用人为调节.随后文中给出了几个典型算例.通过MWENO格式和WENO格式的计算结果比较,表明MWENO格式具有较高的间断分辨率.

关 键 词:守恒律  混合模板集  MWENO格式  WENO格式  DWENO格式
文章编号:0258-1825(2005)03-0330-05
收稿时间:2004-05-19
修稿时间:2004-05-192004-09-02

A kind of MWENO scheme and its applications
ZHU Jun,ZHAO Ning. A kind of MWENO scheme and its applications[J]. Acta Aerodynamica Sinica, 2005, 23(3): 330-333,306
Authors:ZHU Jun  ZHAO Ning
Abstract:
A new MWENO (Multi-Weighted Essentially Non-Oscillatory) scheme is constructed on uniformly grids. By using discrete data, the nonlinear weights of state variables interpolating polynomials can be obtained over mixed stencil sets. To contrast with DWENO (Double Weighted Essentially Non-Oscillatory) scheme, the main advantage of MWENO is not need to adjust values of the nonlinear weights artificially. Finally, many classic numerical tests are presented, which show the MWENO scheme is successful and efficient than associated WENO scheme.
Keywords:conservation law   stencil sets    MWENO scheme   WENO scheme   DWENO scheme
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