Numerical simulation of anomalous infiltration in porous media | Zendy

Siqi Shen | Zendy; Fawang Liu | Zendy; Q. Liu | Zendy; Vo Anh | Zendy

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Numerical simulation of anomalous infiltration in porous media

Author(s) -

Siqi Shen,

Fawang Liu,

Q. Liu,

Vo Anh

Publication year - 2014

Publication title -

numerical algorithms

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.981

H-Index - 64

eISSN - 1572-9265

pISSN - 1017-1398

DOI - 10.1007/s11075-014-9853-9

Subject(s) - porous medium , infiltration (hvac) , mathematics , fractional calculus , nonlinear system , theory of computation , numerical analysis , anomalous diffusion , computer simulation , mathematical analysis , porosity , mechanics , physics , computer science , geology , geotechnical engineering , innovation diffusion , algorithm , thermodynamics , knowledge management , quantum mechanics , statistics

Nonlinear time-fractional diffusion equations have been used to describe the liquid infiltration for both subdiffusion and superdiffusion in porous media. In this paper, some problems of anomalous infiltration with a variable-order timefractional derivative in porous media are considered. The time-fractional Boussinesq equation is also considered. Two computationally efficient implicit numerical schemes for the diffusion and wave-diffusion equations are proposed. Numerical examples are provided to show that the numerical methods are computationally efficient

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