Assessment of finite difference methods to solve porous media dynamics

Zhang, Y. P., Pedroso, D. M. and Li, L. (2015). Assessment of finite difference methods to solve porous media dynamics. In: Fusao Oka, Akira Murakami, Ryosuke Uzuoka and Sayuri Kimoto, Computer Methods and Recent Advances in Geomechanics - Proc. of the 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014. 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014, Kyoto, Japan, (1433-1438). 22-25 September 2014. doi:10.1201/b17435-252

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Author Zhang, Y. P.
Pedroso, D. M.
Li, L.
Title of paper Assessment of finite difference methods to solve porous media dynamics
Conference name 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
Conference location Kyoto, Japan
Conference dates 22-25 September 2014
Proceedings title Computer Methods and Recent Advances in Geomechanics - Proc. of the 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
Journal name Computer Methods and Recent Advances in Geomechanics - Proceedings of the 14th Int. Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
Place of Publication Leiden, The Netherlands
Publisher Taylor and Francis/CRC Press/Balkema
Publication Year 2015
Year available 2014
Sub-type Fully published paper
DOI 10.1201/b17435-252
ISBN 9781138001480
9781315733197
Editor Fusao Oka
Akira Murakami
Ryosuke Uzuoka
Sayuri Kimoto
Start page 1433
End page 1438
Total pages 6
Chapter number 231
Total chapters 325
Language eng
Abstract/Summary A number of methods have been developed for solving the dynamics of saturated porous media, mostly based on the finite element method. However, few works have discussed how to solve dynamic problems with the Finite Difference Method (FDM). The FDM cannot easily fulfil the Ladyzenskaja- Babuska-Brezzi (LBB) stability criteria because it uses same order spatial discretisations. Nonetheless, some stabilization techniques were introduced in the literature. This paper aims to explore the possibilities of solutions with the FDM, including an assessment of accuracy, efficiency and stability of proposed methods. In this contribution, some FDM schemes are developed and a comparative study is presented. Simulations of a 1D and 2D wave propagation problems are performed in order to reveal the advantages and drawbacks of all schemes.
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Conference Paper
Collections: School of Civil Engineering Publications
Official 2015 Collection
 
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Created: Tue, 07 Oct 2014, 10:13:26 EST by System User on behalf of School of Civil Engineering