一类混合MUSCL型E格式收敛性的研究  

CONVERGENCE OF HYBRID MUSCL-TYPE E SCHEMES

作　　者：勇珩[1] 戴嘉尊[2] 

机构地区：[1]北京应用物理及计算数学研究所,北京100088 [2]南京航空航天大学理学院,南京210016

出　　处：《数值计算与计算机应用》2001年第3期181-192,共12页Journal on Numerical Methods and Computer Applications

摘　　要：In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accuracy both in space and time. And applying the theory of entropy measure- valued solution, we proved the family of approximate solutions converge to the unique entropy weak l∞ -solution. Based on the character in 1-D,the convergence to the unique entropy weak l∞ -solution is proved in 2-D. Finally, we performed numerical experiments with these schemes for system of Euler equations in both 1-D and 2-D, and the results showed that these schemes had high resolution ability for shocks, rarefactions and contact discontinuities.In this paper, generalized from some monotone scheme, a class of MUSCL- Type finite difference E schemes is presented. It is proved to have second order accuracy both in space and time. And applying the theory of entropy measure- valued solution, we proved the family of approximate solutions converge to the unique entropy weak l∞ -solution. Based on the character in 1-D,the convergence to the unique entropy weak l∞ -solution is proved in 2-D. Finally, we performed numerical experiments with these schemes for system of Euler equations in both 1-D and 2-D, and the results showed that these schemes had high resolution ability for shocks, rarefactions and contact discontinuities.

关 键 词：一致边界 E格式 MUSCL型 TVD格式 收敛性 差分格式 熵解 

分 类 号：O351[理学—流体力学]