Mixed finite element method for generalized convection-diffusion equations based on an implicit characteristic-based algorithm

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• 作者：W. Wu and X. Li
• 刊名：Acta Mechanica
• 出版年：2007
• 出版时间：July, 2007
• 年：2007
• 卷：191
• 期：3-4
• 页码：181-193
• 全文大小：502 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

A mixed finite element method for generalized convection-diffusion equations is proposed. The primitive variable with its spatial gradient and the diffusion flux are interpolated as independent variables. The variational (weak) form of the governing equations is given on the basis of the extended Hu-Washizu three-field variational principle. The mixed element is formulated with stabilized one point quadrature scheme and particularly implicit characteristic-based algorithm for eliminating spurious numerical oscillations. The numerical results illustrate good performances in accuracy and efficiency of the proposed mixed element in comparison with standard finite element.