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A completely explicit finite element method for solving dynamic u-p equations of fluid-saturated porous media
AbstractA completely explicit finite element method is developed to efficiently solve the dynamic u-p equations of fluid-saturated porous media (FSPM). In the spatial domain, a diagonalization method is applied to both the mass and the fluid compressibility matrices by neglecting the interactions between adjacent nodes in the finite element model of FSPM for the first time. In the time domain, an explicit-explicit algorithm consisting of the central and the unilateral difference methods is applied to solve the dynamic u-p equations. The stability and accuracy of the proposed explicit-explicit algorithm are discussed. Moreover, five numerical examples were presented in this paper. The good agreements between the results obtained from the proposed method and the existing explicit-implicit method indicate that the diagonalization method for the fluid compressibility matrix and the proposed completely explicit method are validity in solving the dynamic u-p equations of FSPM.
HighlightsA diagonalization method is used into fluid compressibility matrix to realize explicit integration.The high efficiently explicit-explicit algorithm for saturated porous media in u-p form is proposed.Stability and accuracy of the proposed method is discussed.
A completely explicit finite element method for solving dynamic u-p equations of fluid-saturated porous media
AbstractA completely explicit finite element method is developed to efficiently solve the dynamic u-p equations of fluid-saturated porous media (FSPM). In the spatial domain, a diagonalization method is applied to both the mass and the fluid compressibility matrices by neglecting the interactions between adjacent nodes in the finite element model of FSPM for the first time. In the time domain, an explicit-explicit algorithm consisting of the central and the unilateral difference methods is applied to solve the dynamic u-p equations. The stability and accuracy of the proposed explicit-explicit algorithm are discussed. Moreover, five numerical examples were presented in this paper. The good agreements between the results obtained from the proposed method and the existing explicit-implicit method indicate that the diagonalization method for the fluid compressibility matrix and the proposed completely explicit method are validity in solving the dynamic u-p equations of FSPM.
HighlightsA diagonalization method is used into fluid compressibility matrix to realize explicit integration.The high efficiently explicit-explicit algorithm for saturated porous media in u-p form is proposed.Stability and accuracy of the proposed method is discussed.
A completely explicit finite element method for solving dynamic u-p equations of fluid-saturated porous media
Xu, Chengshun (Autor:in) / Song, Jia (Autor:in) / Du, Xiuli (Autor:in) / Zhong, Zilan (Autor:in)
Soil Dynamics and Earthquake Engineering ; 97 ; 364-376
13.03.2017
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
| British Library Online Contents | 2017
| British Library Online Contents | 2017
| British Library Online Contents | 2017
An explicit finite element method for Biot dynamic formulation in fluid-saturated porous media
| British Library Conference Proceedings | 2002