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Derivative artificial compression method of conservation laws
Dong Haitao, Liu Fujun, Han Chong*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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Abstract�� Applying high resolution difference schemes on the derivative equations of conservation laws could overcome the shortcoming of accuracy decay at extreme points that has plagued almost all high resolution schemes. Similar to Harten-s artificial compression method, the new method is called derivative artificial compression method, which has high resolution, low dissipation and low diffusion properties, and could enhance the resolution(of numerical solution) both at discontinuities and at extreme points. Numerical experiments are implemented on a single conservation law with initial values of discontinuities and extremes, and on one dimensional shock tube problem. The resolution problem of discontinuities and extremes is compared with Harten-s TVD scheme, artificial compression method and derivative artificial compression method.
Keywords�� conservation laws   high resolution   difference schemes   TVD   artificial compression   derivative artificial compression     
Received 2011-05-17;
Fund:�����ش�����о���չ�ƻ�(973�ƻ�)������Ŀ; "���ͷ������Ŀ�������ѧ�����о�"(2007CB714600)
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������, ������, ����.�غ��ɷ��̵ĵ����˹�ѹ����[J]  �������պ����ѧѧ��, 2012,V(7): 966-970
Dong Haitao, Liu Fujun, Han Chong.Derivative artificial compression method of conservation laws[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2012,V(7): 966-970
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http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2012/V/I7/966
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