数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (4): 361-383.

• 论文 •    下一篇

ENTROPY CONSISTENCY OF LARGE TIME STEP SCHEMES FOR ISENTROPIC EQUATIONS OF GAS DYNAMICS

姜光山, 王靖华   

  1. Inst. of Sys. Scis., Academia Sinica, Beijing 100080, China
  • 收稿日期:1991-09-10 出版日期:1993-12-25 发布日期:1993-12-25
  • 基金资助:
    Supported in part by the National Natural Science of China, NSF Grant No. DMS-8657319.

ENTROPY CONSISTENCY OF LARGE TIME STEP SCHEMES FOR ISENTROPIC EQUATIONS OF GAS DYNAMICS

Jiang Guangshan, Wang Jinghua   

  1. Inst. of Sys. Scis., Academia Sinica, Beijing 100080, China
  • Received:1991-09-10 Online:1993-12-25 Published:1993-12-25
  • Supported by:
    Supported in part by the National Natural Science of China, NSF Grant No. DMS-8657319.

摘要: In this paper, We show for isentropic equations of gas dynamics with adiabatic exponent γ=3 that approximations of weak solutions generated by large time step Godunov's scheme or Glimm's scheme give entropy solution in the limit if Courant number is less than or equal to 1.

Abstract: In this paper, We show for isentropic equations of gas dynamics with adiabatic exponent γ=3 that approximations of weak solutions generated by large time step Godunov's scheme or Glimm's scheme give entropy solution in the limit if Courant number is less than or equal to 1.