CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2014, Vol. 31 ›› Issue (5): 539-551.

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High Resolution Entropy Consistent Schemes for Hyperbolic Conservation Laws

REN Jiong1,2, FENG Jianhu1, LIU Youqiong1, LIANG Nan1   

  1. 1. College of Science, Chang'an University, Xi'an 710064, China;
    2. Department of Fluid Dynamics, College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2013-07-17 Revised:2013-12-31 Online:2014-09-25 Published:2014-09-25

Abstract: To improve accuracy of entropy consistent schemes,we proposed high resolution entropy consistent schemes by inserting a new flux limiter into entropy consistent schemes. It uses limiter mechanism to construct high resolution schemes. In constructing high resolution entropy consistent schemes of Euler equations,we improve resolution of contact discontinuity by adjusting parameters of corresponding entropy consistent schemes. Several numerical experiments illustrate robustness and essentially non-oscillations of the schemes.

Key words: hyperbolic conservation laws, entropy consistent scheme, limiter, high resolution

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