A particle method for solving Richards' equation

作者:Beaudoin Anthony; Huberson Serge; Rivoalen Elie*
来源:Comptes Rendus Mecanique, 2011, 339(4): 257-261.
DOI:10.1016/j.crme.2011.01.005

摘要

Under some specific assumptions, the flow of the water in unsaturated porous media can be represented by the Richards equation. However the strong non-linearity of the Richards equation constitutes a difficult obstacle for such simulations. This work presents a complete solution of the problem based on two alternative deterministic schemes for the particle methods, Particle Strength Exchange and Diffusion Velocity. These two methods are used to compute the motion of an initially spherical wet region embedded in an otherwise low humidity zone. These results are compared to that of the finite element code NAPL It is shown that each method provide a useful alternative to more classical grid methods.

  • 出版日期2011-4

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