Weighted Compact High-Order Nonlinear Schemes for the Euler Equations
Weighted Compact High-Order Nonlinear Schemes for the Euler Equations
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DOI：
10.2514/6.1997-1941
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发表时间：
1997-06
期刊：
影响因子：
--
通讯作者：
Xiaogang Deng;M. Mao
中科院分区：
文献类型：
--
作者：
Xiaogang Deng;M. Mao
The weighted technique is introduced in the compact high-order nonlinear schemes(CNS) and three fourthand fifth-order WCNS are obtained in this paper. By Fourier analysis, the dissipative and dispersive features of WCNS are discussed. In view of the modified wave number, the WCNS are equivalent to the fifth-order upwind biased explicit schemes in smooth regions and the interpolations at cell-edges dominate the properties of'WCNS. The flux difference splitting and flux vector splitting methods can be applied in WCNS though they are finite difference schemes. Several one- and twodimensional numerical results are given which show the good performances of the WCNS for discontinuities capturing. We also applied Huynh's the methods to fifthorder WCNS to sharpen the contact discontinuity.
