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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 977-982.

• 论文 • 上一篇    下一篇

LOCAL DISCONTINUOUS GALERKIN METHOD FOR RADIAL POROUS FLOW WITH DISPERSION AND ADSORPTION

汪继文1,2, 刘慈群3   

  1. 1. State Key Loboratory of Fire Science, University of Science and Technolog of China, Hefei 230026, P. R. China;
    2. Educational Department Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, P. R. China;
    3. Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Science, Langfang, 065007, P. R. China
  • 收稿日期:2002-04-10 修回日期:2004-03-25 出版日期:2004-09-18 发布日期:2004-09-18
  • 基金资助:

    the Natural Science Foundation of Anhui Province of China(03046101);the Project of Vitalizing Education in 21 Century

LOCAL DISCONTINUOUS GALERKIN METHOD FOR RADIAL POROUS FLOW WITH DISPERSION AND ADSORPTION

WANG Ji-wen1,2, LIU Ci-qun3   

  1. 1. State Key Loboratory of Fire Science, University of Science and Technolog of China, Hefei 230026, P. R. China;
    2. Educational Department Key Laboratory of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, P. R. China;
    3. Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Science, Langfang, 065007, P. R. China
  • Received:2002-04-10 Revised:2004-03-25 Online:2004-09-18 Published:2004-09-18
  • Supported by:

    the Natural Science Foundation of Anhui Province of China(03046101);the Project of Vitalizing Education in 21 Century

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摘要： Based on the local discontinuous Galerkin methods for time-dependent convection-diffusion systems newly developed by Corkburn and Shu,according to the form of the generalized convection-diffusion equations which model the radial porous flow with dispersion and adsorption,a local discontinuous Galerkin method for radial porous flow with dispersion and adsorption was developed,a high order accurary new scheme for radial porous flow is obtained.The presented method was applied to the numerical tests of two cases of radial porous,i.e., the convection-dispersion flow and the convection-dispersion-adsorption flow,the corresponding parts of the numerical results are in good agreement with the published solutions,so the presented method is reliable.Reckoning of the computational cost also shows that the method is practicable.

关键词: dispersion, adsorption, radial porous flow, local discontinuous Galerkin method

Abstract: Based on the local discontinuous Galerkin methods for time-dependent convection-diffusion systems newly developed by Corkburn and Shu,according to the form of the generalized convection-diffusion equations which model the radial porous flow with dispersion and adsorption,a local discontinuous Galerkin method for radial porous flow with dispersion and adsorption was developed,a high order accurary new scheme for radial porous flow is obtained.The presented method was applied to the numerical tests of two cases of radial porous,i.e., the convection-dispersion flow and the convection-dispersion-adsorption flow,the corresponding parts of the numerical results are in good agreement with the published solutions,so the presented method is reliable.Reckoning of the computational cost also shows that the method is practicable.

Key words: dispersion, adsorption, radial porous flow, local discontinuous Galerkin method

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