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�������պ����ѧѧ�� 2010, Vol. 36 Issue (1) :10-13    DOI:
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On the performance of two shock-capturing schemes
Yu Jian, Yan Chao*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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ժҪ ������������͵ļ�����׽��ʽ:������ʽ��MUSCL(Monotone Upstream-centred Schemes for Conservation Laws)��ʽ��WENO (Weighted Essentially Non-Oscillatory)��ʽ.MUSCL��ʽ���������任ʱʹ���˾ֲ����Ի���˼��,������Բ�ϵ������ʩ����Ӧ��������;ͨ����ά�ع�ʵ�������������WENO��ʽ.���һά����ά����άEulerϵͳ������ֵʵ��.��һά�Ͷ�ά�������,������ʽ��MUSCL��ʽ�ڽӴ���ϵIJ�׽�Ͼ��н����Ե�����,�����ڼ����IJ�׽���𲻴�.������ά��������WENO��ʽ�������ķֱ����ϸ.�������������������,��������˿��ܵĸĽ�����.
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Abstract�� Two shock-capturing schemes were considered: characteristic-based MUSCL (monotone upstream-centred schemes for conservation laws) scheme and WENO (weighted essentially non-oscillatory) scheme. Local linearization was employed when performing characteristic transformation, and limiters were applied according to the characteristics of waves; A dimension by dimension reconstruction was used to obtain truly accurate finite volume WENO scheme. Numerical experiments were carried out on one-, two- and three-dimensional Euler systems. The results show with one- and two-dimensional examples that characteristic-based MUSCL scheme performs better on capturing contact discontinuities, and shows little difference from WENO scheme on shocks. For three-dimensional problems, a finer resolution of complex flow feature can be obtained by WENO scheme. Explanations as well as possible improvements are given.
Keywords�� computational fluid dynamics   finite volume scheme   characteristic variables   weighted essentially non-oscillatory scheme     
Received 2008-12-30;


About author: �� ��(1984-),��,ɽ��������,��ʿ��,yujian@ase.buaa.edu.cn.
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Yu Jian, Yan Chao.On the performance of two shock-capturing schemes[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2010,V36(1): 10-13
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