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Volume 38 Issue 7
Jul.  2012
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Journal of Beijing University of Aeronautics and Astronautics  > 2012  >  (7): 966-970.
Dong Haitao, Liu Fujun, Han Chonget al. Derivative artificial compression method of conservation laws[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, (7): 966-970. (in Chinese)
Citation: Dong Haitao, Liu Fujun, Han Chonget al. Derivative artificial compression method of conservation laws[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, (7): 966-970. (in Chinese)
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Derivative artificial compression method of conservation laws

  • School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 17 May 2011
  • Publish Date: 30 Jul 2012
    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.

     

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    • References(8)
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