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Dynamic Analysis of Porous Media Considering Unequal Phase Discretization by Meshless Local Petrov-Galerkin Formulations

Delfim Soares Jr.1
Structural Engineering Department, Federal University of Juiz de Fora, Cidade Universitária, CEP 36036-330, Juiz de Fora, MG, Brazil. Tel: +55 32 2102-3468; E-mail: delfim.soares@ufjf.edu.br

Computer Modeling in Engineering & Sciences 2010, 61(2), 177-200. https://doi.org/10.3970/cmes.2010.061.177

Abstract

In this work, meshless methods based on the local Petrov-Galerkin approach are employed for the time-domain dynamic analysis of porous media. For the spatial discretization of the pore-dynamic model, MLPG formulations adopting Gaussian weight functions as test functions are considered, as well as the moving least square method is used to approximate the incognita fields. For time discretization, the generalized Newmark method is adopted. The present work is based on the u-p formulation and the incognita fields of the coupled analysis in focus are the solid skeleton displacements and the interstitial fluid pore pressures. Independent spatial discretization is considered for each phase of the model, rendering a more flexible, efficient and robust methodology. At the end of the paper, numerical applications illustrate the accuracy and potentialities of the proposed techniques.

Keywords

Meshless Local Petrov-Galerkin, Moving Least Squares, Time-Domain Analysis, Pore-Dynamics, Saturated Soils, Independent Phase Discretization.

Cite This Article

Jr., D. S. (2010). Dynamic Analysis of Porous Media Considering Unequal Phase Discretization by Meshless Local Petrov-Galerkin Formulations. CMES-Computer Modeling in Engineering & Sciences, 61(2), 177–200.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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