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

MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLEELEMENT VARIATIONAL METHODS IN DYNAMICSOF VISCOUS BAROTROPIC FLUIDS
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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. 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.
作者 沈孝明
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第6期561-569,共9页 应用数学和力学(英文版)
关键词 mechanics of viscous fluids computational fluid mechanics vari-ational principle finite element method mixed compatible el-ement mixed hybrid incompatible element 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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