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A local artificial‐boundary condition for simulating transient wave radiation in fluid‐saturated porous media of infinite domains
Author(s) -
Xu Chengshun,
Song Jia,
Du Xiuli,
Zhao Mi
Publication year - 2017
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5525
Subject(s) - finite element method , boundary value problem , porous medium , boundary (topology) , mechanics , boundary knot method , mathematics , mathematical analysis , boundary element method , porosity , physics , engineering , structural engineering , geotechnical engineering
Summary The dynamic problem of wave propagation in infinite fluid‐saturated porous media is usually solved using the finite element method. Therefore, proper artificial‐boundary conditions are required to be imposed on the truncated boundaries of the dynamic finite‐element model to consider the radiation damping effect of the truncated media. A local artificial‐boundary condition is proposed for the dynamic problems in fluid‐saturated porous media in the u − p formulation. It avoids making the unrealistic assumption of zero permeability that is widely used in the existing artificial‐boundary conditions. Moreover, the proposed method can be implemented easily into finite element or finite difference codes as stress and flow velocity boundary conditions. Numerical results obtained from the finite element model using the proposed artificial boundary indicate that the proposed method is stable for long time and is more accurate than several existing methods. Copyright © 2017 John Wiley & Sons, Ltd.