WANG Ji-wen, LIU Ci-qun. Local Discontinuous Galerkin Method for Radial Porous Flow With Dispersion and Adsorption[J]. Applied Mathematics and Mechanics, 2004, 25(9): 895-900.
Citation: WANG Ji-wen, LIU Ci-qun. Local Discontinuous Galerkin Method for Radial Porous Flow With Dispersion and Adsorption[J]. Applied Mathematics and Mechanics, 2004, 25(9): 895-900.

Local Discontinuous Galerkin Method for Radial Porous Flow With Dispersion and Adsorption

  • Received Date: 2002-04-10
  • Rev Recd Date: 2004-03-25
  • Publish Date: 2004-09-15
  • 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.
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  • [1]
    刘慈群,郭白奇.有弥散和吸附的径向渗流的数值模拟[A].见:周连弟,邵维文 编.2001年第十五届全国水动力学研讨会文集[C].北京:海洋出版社,2001,463—467.
    [2]
    Cockburn B,Shu C W.The local discontinuous Galerkin method for tme-dependent convection-diffusion systems[J].SIAM J Numer Anal,1998,35(6):2440—2463. doi: 10.1137/S0036142997316712
    [3]
    Shu C W,Osher S.Efficient implementation of essentially non-oscillatory shock capturing schemes[J].J Comput Phys,1988,77(2):439—471. doi: 10.1016/0021-9991(88)90177-5
    [4]
    Satter A,Shum Y M,Adams W T,et al.Chemical transport in porous media with dispersion and rate-controlled adsorption[J].Soc Pet Eng J,1980,20(3):129—138.
    [5]
    Tang D H.Analytical solution of a velocity dependent dispersion problem[J].Water Resour Res,1979,15(6):1471—1478. doi: 10.1029/WR015i006p01471
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