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Numerical stability for modelling of dynamic two-phase interaction.
- Source :
- International Journal for Numerical & Analytical Methods in Geomechanics; Jun2016, Vol. 40 Issue 9, p1284-1294, 11p
- Publication Year :
- 2016
-
Abstract
- Dynamic two-phase interaction of soil can be modelled by a displacement-based, two-phase formulation. The finite element method together with a semi-implicit Euler-Cromer time-stepping scheme renders a discrete equation that can be solved by recursion. By experience, it is found that the CFL stability condition for undrained wave propagation is not sufficient for the considered two-phase formulation to be numerically stable at low values of permeability. Because the stability analysis of the two-phase formulation is onerous, an analysis is performed on a simplified two-phase formulation that is derived by assuming an incompressible pore fluid. The deformation of saturated porous media is now captured in a single, second-order partial differential equation, where the energy dissipation associated with the flow of the fluid relative to the soil skeleton is represented by a damping term. The paper focuses on the different options to discretize the damping term and its effect on the stability criterion. Based on the eigenvalue analyses of a single element, it is observed that in addition to the CFL stability condition, the influence of the permeability must be included. This paper introduces a permeability-dependent stability criterion. The findings are illustrated and validated with an example for the dynamic response of a sand deposit. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03639061
- Volume :
- 40
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- International Journal for Numerical & Analytical Methods in Geomechanics
- Publication Type :
- Academic Journal
- Accession number :
- 115832599
- Full Text :
- https://doi.org/10.1002/nag.2483