Local Discontinuous Galerkin Method for Radial Porous Flow With Dispersion and Adsorption
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摘要: 在Corkburn和Shu新近发展的求解对流扩散方程的局部化间断Galerkin方法的基础上，针对有弥散和吸附的径向渗流问题中出现的推广的对流扩散方程的形式，构造了一种计算有弥散和吸附的径向渗流问题的局部化间断Galerkin有限元方法，为径向渗流问题的求解提供了一个高阶的新方法．对对流-弥散和对流-弥散-吸附两种情况进行了数值实验， 所得结果的相应部分与已知的一些精确解结果和数值结果是一致的，表明方法是可靠的．从计算速度上看，方法也是可行的．
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关键词:
- 弥散 /
- 吸附 /
- 径向渗流 /
- 局部化间断Galerkin方法
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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[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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