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Author:

Chen, Yuanqiang (Chen, Yuanqiang.) | Zheng, Hong (Zheng, Hong.) | Huang, Xiaocheng (Huang, Xiaocheng.) | Liu, Shunkai (Liu, Shunkai.)

Indexed by:

EI Scopus SCIE

Abstract:

Robust and reliable numerical models are vital to solve the Richards' equation, which depicts the variably saturated flows in porous media. In this study, the Richards' equation is discretized spatially with the numerical manifold method (NMM) and temporally with the backward Euler scheme, in which the under-relaxation and mass lumping techniques are introduced to keep the numerical stability and mass balance. Several examples are performed to validate the correctness and accuracy of the proposed model. The numerical results demonstrate the potential applicability of the proposed model to solve saturated-unsaturated seepage problems.

Keyword:

Richards' equation Numerical manifold method Mass lumping Under-relaxation Variably saturated flows

Author Community:

  • [ 1 ] [Chen, Yuanqiang]Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Peoples R China
  • [ 2 ] [Huang, Xiaocheng]Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Peoples R China
  • [ 3 ] [Liu, Shunkai]Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Peoples R China
  • [ 4 ] [Zheng, Hong]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Chen, Yuanqiang]Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Peoples R China;;

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Source :

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

ISSN: 0955-7997

Year: 2024

Volume: 169

3 . 3 0 0

JCR@2022

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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