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Author:

Song, Jia (Song, Jia.) | Wang, Fujie (Wang, Fujie.) | Jia, Kemin (Jia, Kemin.) | Shen, Haohao (Shen, Haohao.)

Abstract:

The near-field wave problem of the saturated soil involves the energy radiation effect of the truncated infinite media. A viscous spring boundary is proposed for the fluid-saturated porous media. Based on the process of wave propagation under internal point source, the stress and flow velocity boundaries are constructed by reasonable assumptions of outgoing waves and Green's function, respectively. Without the permeability assumption, the proposed boundary avoids the low accuracy caused by the assumption of zero permeability that is widely used in the existing methods. The boundary simultaneously has a simple form, clear physical meaning, and less computational cost due to its local character. Meanwhile, a completely explicit integration algorithm considering the damping is constructed to solve the finite element equations of saturated porous media with the proposed boundary. The accuracy and high computational efficiency of the wave numerical method are verified in the examples.

Keyword:

u-p formulation viscous spring artificial boundary explicit integration algorithm fluid-saturated porous media Green's function

Author Community:

  • [ 1 ] [Song, Jia]North China Univ Technol, Sch Civil Engn, Beijing 100144, Peoples R China
  • [ 2 ] [Wang, Fujie]North China Univ Technol, Sch Civil Engn, Beijing 100144, Peoples R China
  • [ 3 ] [Shen, Haohao]North China Univ Technol, Sch Civil Engn, Beijing 100144, Peoples R China
  • [ 4 ] [Song, Jia]Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China
  • [ 5 ] [Jia, Kemin]Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China

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Source :

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS

ISSN: 1300-686X

Year: 2022

Issue: 4

Volume: 27

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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