Chinese Journal of Computational Physics ›› 2022, Vol. 39 ›› Issue (2): 179-190.DOI: 10.19596/j.cnki.1001-246x.8384

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Reducing Entropy Production in a Lagrangian Method

Liji WANG1,2(), Hongping GUO1,3, Zhijun SHEN1,*()   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
    2. Graduate School of China Academy of Engineering Physics, Beijing 100088, China
    3. Faculty of Mathematics, Baotou Teachers′ College, Baotou, Inner Mongolia 014030, China
  • Received:2021-04-21 Online:2022-03-25 Published:2022-06-24
  • Contact: Zhijun SHEN
  • Supported by:
    National Natural Science Foundation of China(11971071); Foundation of LCP

Abstract:

We investigate entropy production in a cell centered Lagrangian method. The motivation is to reduce intrinsic entropy dissipation of a Godunov method in calculating isentropic flow problems. By implementing pressure modification to the original scheme, a flux fix approach is proposed based on the fully discrete entropy inequality. Numerical experiments show that for problems with expansion waves the modified flux algorithm has better solution behaviors than the original Lagrangian method.

Key words: Godunov methods, Riemann solver, rarefaction wave, entropy