SMOOTHNESS INDICATOR OF WENO SCHEME FOR RESOLVING SHORT WAVE  

作　　者：武从海 赵宁 徐爽 王东红 

机构地区：[1]College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics [2]College of Science,Nanjing University of Aeronautics and Astronautics

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2013年第2期125-131,共7页南京航空航天大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(50830201,11102179);the Nanjing University of Aeronautics and Astronautics Research Funding(NP 2011033)

摘　　要：Based on the traditional fifth-order weighted essentially non-oscillatory(WENO)scheme,a smoothness indicator is introduced to improve the capability of WENO schemes for resolving short waves.In the construction of the new smoothness indicator,the proportion of the first-order term in the original smoothness indicator is reduced by replacing the square of the first-order term with the product of the first-order and the third-order terms.To preserve the fifth-order of convergence rate,the smoothness indicator is combined with the method of Borges,et al.The numerical results show that the proposed schemes are more suitable for simulating turbulent flows or aeroacoustics problems than the previous fifth-order WENO schemes,thanks to its improved resolution on short waves.Based on the traditional fifth-order weighted essentially non-oscillatory （WENO） scheme, a smoothness indicator is introduced to improve the capability of WENO schemes for resolving short waves. In the construction of the new smoothness indicator, the proportion of the first-order term in the original smoothness indicator is reduced by replacing the square of the first-order term with the product of the first-order and the third-order terms. To preserve the fifth-order of convergence rate, the smoothness indicator is combined with the method of Borges, et al. The numerical results show that the proposed schemes are more suitable for simulating turbulent flows or aeroacoustics problems than the previous fifth-order WENO schemes, thanks to its improved resolution on short waves.

关 键 词：WENO scheme smoothness indicator high-order scheme 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]