A Fully Explicit–Explicit Staggered Algorithm for the Dynamic Response of Fluid–Saturated Porous Media.

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Title: A Fully Explicit–Explicit Staggered Algorithm for the Dynamic Response of Fluid–Saturated Porous Media.
Authors: Zhou, Qinglong1 (AUTHOR) zhouqinglong@csu.edu.cn, Chen, Xinyi1 (AUTHOR)
Source: International Journal of Structural Stability & Dynamics. 7/15/2026, Vol. 26 Issue 15, p1-18. 18p.
Subjects: Euler method, Porous materials, Transients (Dynamics), Numerical analysis, Geotechnical engineering, Finite difference method, Finite element method
Abstract: The analysis of the dynamic response of fluid-saturated porous media under stress waves is of great practical value in the fields of geotechnical engineering, geophysics, earthquake engineering and marine engineering. In this research, a new fully explicit finite element algorithm for solving the coupled soil-pore fluid dynamic problem is developed based on the u–p formulation. The proposed method is a staggered algorithm that is realized with the central difference method used to solve the displacement u and the improved Euler method used to solve the fluid pressure p, it has a second-order theoretical accuracy since both the central difference method and the improved Euler method are second-order methods. The correctness and efficiency of the proposed method are investigated through two numerical examples. The computational results of the one-dimensional soil column model shows that the numerical solution of the proposed algorithm agree well with the theoretical analytical solution. The differences of the computational accuracy and efficiency between the proposed method and the other existing methods are also discussed in the numerical examples, and the results show that the proposed explicit method is higher in calculation efficiency than the implicit algorithm, and its accuracy is higher than that of the existing first-order explicit method. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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An: 192787896
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  Data: A Fully Explicit–Explicit Staggered Algorithm for the Dynamic Response of Fluid–Saturated Porous Media.
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  Data: <searchLink fieldCode="AR" term="%22Zhou%2C+Qinglong%22">Zhou, Qinglong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zhouqinglong@csu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Xinyi%22">Chen, Xinyi</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 7/15/2026, Vol. 26 Issue 15, p1-18. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Euler+method%22">Euler method</searchLink><br /><searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br /><searchLink fieldCode="DE" term="%22Transients+%28Dynamics%29%22">Transients (Dynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Geotechnical+engineering%22">Geotechnical engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The analysis of the dynamic response of fluid-saturated porous media under stress waves is of great practical value in the fields of geotechnical engineering, geophysics, earthquake engineering and marine engineering. In this research, a new fully explicit finite element algorithm for solving the coupled soil-pore fluid dynamic problem is developed based on the u–p formulation. The proposed method is a staggered algorithm that is realized with the central difference method used to solve the displacement u and the improved Euler method used to solve the fluid pressure p, it has a second-order theoretical accuracy since both the central difference method and the improved Euler method are second-order methods. The correctness and efficiency of the proposed method are investigated through two numerical examples. The computational results of the one-dimensional soil column model shows that the numerical solution of the proposed algorithm agree well with the theoretical analytical solution. The differences of the computational accuracy and efficiency between the proposed method and the other existing methods are also discussed in the numerical examples, and the results show that the proposed explicit method is higher in calculation efficiency than the implicit algorithm, and its accuracy is higher than that of the existing first-order explicit method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1142/S0219455426501257
    Languages:
      – Code: eng
        Text: English
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        PageCount: 18
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    Subjects:
      – SubjectFull: Euler method
        Type: general
      – SubjectFull: Porous materials
        Type: general
      – SubjectFull: Transients (Dynamics)
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Geotechnical engineering
        Type: general
      – SubjectFull: Finite difference method
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: A Fully Explicit–Explicit Staggered Algorithm for the Dynamic Response of Fluid–Saturated Porous Media.
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            NameFull: Zhou, Qinglong
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            NameFull: Chen, Xinyi
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            – D: 15
              M: 07
              Text: 7/15/2026
              Type: published
              Y: 2026
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              Value: 26
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              Value: 15
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            – TitleFull: International Journal of Structural Stability & Dynamics
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