Study on Stability of Explicit Finite Element Method for Wave Motion of Fluid-Saturated Porous Media

Liang Li; Xiu Li Du; Li Yun Li; Wei Zhai

doi:10.4028/www.scientific.net/AMR.250-253.1400

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 250-253Study on Stability of Explicit Finite Element...

Study on Stability of Explicit Finite Element Method for Wave Motion of Fluid-Saturated Porous Media

Abstract:

In this paper, the stability of an explicit finite element method for wave motion of fluid-saturated porous media is studied based on the transfer matrix of calculating formula of the method. Transfer factor is defined to describe the stability of the method. The effect of time step, space interval and the value of permeability coefficient on stability is analyzed and practical stability criterion is presented. Research results show that with the increase of time step, the stability of the method will be deteriorated; with the increase of space interval, the stability of the method will be enhanced; with the increase of the value of permeability coefficient, the stability of the method will be enhanced.

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Periodical:

Advanced Materials Research (Volumes 250-253)

Pages:

1400-1406

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.250-253.1400

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Online since:

May 2011

Authors:

Liang Li, Xiu Li Du, Li Yun Li, Wei Zhai

Keywords:

Fluid-Saturated Porous Media, Stability, Time-Domain Explicit Finite Element Method, Transfer Matrix Method (TMM), Wave Motion

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