Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 561-569.

• 论文 • 上一篇    下一篇

MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLE ELEMENT VARIATIONAL METHODS IN DYNAMICS OF VISCOUS BAROTROPIC FLUIDS

沈孝明   

  1. Baoshan Branch of Shanghai TV University, Shanghai
  • 收稿日期:1992-09-12 出版日期:1994-06-18 发布日期:1994-06-18

MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLE ELEMENT VARIATIONAL METHODS IN DYNAMICS OF VISCOUS BAROTROPIC FLUIDS

Shen Xiao-ming   

  1. Baoshan Branch of Shanghai TV University, Shanghai
  • Received:1992-09-12 Online:1994-06-18 Published:1994-06-18

摘要: This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress can be naturally satisfied. The gene-rallzed variational principles with mixed hybrid incompatible finite elements are alsopresented and proved, and they can reduce the computation of incompatible elements indynamics of viscous barotropic flows.

关键词: Lü-system, chaos control, partial linearization, mechanics of viscous fluids, computational fluid mechanics, vari-ational principle, finite element method, mixed compatible el-ement, mixed hybrid incompatible element

Abstract: This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress can be naturally satisfied. The gene-rallzed variational principles with mixed hybrid incompatible finite elements are alsopresented and proved, and they can reduce the computation of incompatible elements indynamics of viscous barotropic flows.

Key words: Lü-system, chaos control, partial linearization, mechanics of viscous fluids, computational fluid mechanics, vari-ational principle, finite element method, mixed compatible el-ement, mixed hybrid incompatible element

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