A stabilization procedure for soil-water coupled problems using the mesh-free method

Toshifumi Shibata, A. Murakami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The development of stability problems related to classical mixed methods has recently been observed. In this study, a soil-water coupled boundary-value problem, one type of stability problem, is presented using the Element-free Galerkin Method (EFG Method). In this soil-water coupled problem, anomalous behavior appears in the pressure field unless stabilization techniques are used. The remedy to such numerical instability has generally been to adopt a higher interpolation order for the displacements than for the pore pressure. As an alternative, however, an added stabilization term is incorporated into the equilibrium equation. The advantages of this stabilization procedure are as follows: (1) The interpolation order for the pore pressure is the same as that for the displacements. Therefore, the interpolation functions in the pore pressure field do not reduce the accuracy of the numerical results. (2) The stabilization term consists of first derivatives. The first derivatives of the interpolation functions for the EFG Method are smooth, and therefore, the solutions for pore pressure are accurate.In order to validate the above stabilization technique, some numerical results are given. It can be seen from the results that a good convergence is obtained with this stabilization term.

Original languageEnglish
Title of host publication12th International Conference on Computer Methods and Advances in Geomechanics 2008
Pages64-70
Number of pages7
Volume1
Publication statusPublished - 2008
Externally publishedYes
Event12th International Conference on Computer Methods and Advances in Geomechanics 2008 - Goa, India
Duration: Oct 1 2008Oct 6 2008

Other

Other12th International Conference on Computer Methods and Advances in Geomechanics 2008
CountryIndia
CityGoa
Period10/1/0810/6/08

Fingerprint

Meshfree Method
Coupled Problems
Soil
stabilization
Stabilization
soil water
Pore pressure
Soils
Water
pore pressure
interpolation
Interpolation
Element-free Galerkin Method
Galerkin method
Interpolation Function
pressure field
Galerkin methods
Term
Interpolate
Derivatives

Keywords

  • Mesh-free method
  • Soil-water coupled problem
  • Stabilization procedure

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Applied Mathematics

Cite this

Shibata, T., & Murakami, A. (2008). A stabilization procedure for soil-water coupled problems using the mesh-free method. In 12th International Conference on Computer Methods and Advances in Geomechanics 2008 (Vol. 1, pp. 64-70)

A stabilization procedure for soil-water coupled problems using the mesh-free method. / Shibata, Toshifumi; Murakami, A.

12th International Conference on Computer Methods and Advances in Geomechanics 2008. Vol. 1 2008. p. 64-70.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shibata, T & Murakami, A 2008, A stabilization procedure for soil-water coupled problems using the mesh-free method. in 12th International Conference on Computer Methods and Advances in Geomechanics 2008. vol. 1, pp. 64-70, 12th International Conference on Computer Methods and Advances in Geomechanics 2008, Goa, India, 10/1/08.
Shibata T, Murakami A. A stabilization procedure for soil-water coupled problems using the mesh-free method. In 12th International Conference on Computer Methods and Advances in Geomechanics 2008. Vol. 1. 2008. p. 64-70
Shibata, Toshifumi ; Murakami, A. / A stabilization procedure for soil-water coupled problems using the mesh-free method. 12th International Conference on Computer Methods and Advances in Geomechanics 2008. Vol. 1 2008. pp. 64-70
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