English

应用科学学报 ›› 1994, Vol. 12 ›› Issue (2): 179-188.

• 论文 • 上一篇    

多相全可压缩流混溶驱动问题的有限元方法

羊丹平   

  1. 山东大学
  • 收稿日期:1991-12-23 出版日期:1994-06-30 发布日期:1994-06-30
  • 基金资助:
    国家"攀登"计划和国家教委博士点基金

FINITE ELEMENT METHOD FOR MISCIBLE DISPLACEMENT OF MULTIPHASE FULLY COMPRESSIBLE FLOW

YANG DANPING   

  1. Shandong University
  • Received:1991-12-23 Online:1994-06-30 Published:1994-06-30

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摘要： 研究具有弥散的多相全可压缩流混溶驱动问题的有限元数值模拟方法,给出了标准有限元方法及其最优H1-模误差估计。为了提高标准有限元方法的逼近精度,提出了一类改进的有限元方法,在计算量基本相同的条件下,其解达到最优L2-模收敛性。

关键词: 混溶驱动, 有限元方法, 误差估计, 可压缩多相流

Abstract: A standard finite element method for miscible displacement of multiphase fully compressible flow with dispersion is given and optimal error estimate in H1-norm is derivedIn order to enhance the approximate accuracy,a modified finite element method,whose working quantity is almost the same as that of the stsndard method but whose convergent rate in L2-norm is optimal,is proposed.

Key words: multiphase compressible flow, miscible displacement, error estimate, finite element method