An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model

LI Wen-tao; WEI Chang-fu; MA Tian-tian

doi:10.3879/j.issn.1000-0887.2013.08.010

Volume 34 Issue 8

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LI Wen-tao, WEI Chang-fu, MA Tian-tian. An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model[J]. Applied Mathematics and Mechanics, 2013, 34(8): 863-870. doi: 10.3879/j.issn.1000-0887.2013.08.010

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An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model

doi: 10.3879/j.issn.1000-0887.2013.08.010

State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences,Wuhan 430071, P.R.China

Received Date: 2013-05-20
Rev Recd Date: 2013-06-05
Publish Date: 2013-08-15

Abstract

Abstract

Derived from thermo dynamic principle, the capillary hysteresis internal variable model is capable of describing the capillary hysteretic phenomena in unsaturated soils. The mathematical characteristics of this model were studied, followed by a numerical experimentation with classical Euler method, fourth-order Runge-Kutta method and fourth-order Adams-Bashforth method. The results show that Euler method has lower accuracy and larger accumulated error, whereas Adams-Bashforth method holds the upper most accuracy and the better efficiency compared with the same order Runge-Kutta method and is suitable for the solution and calibration of the internal variable model. Moreover, Adams-Bashforth method is implemented into the finite element programme, leading to more accurate results in simulation of two-phase flow.
- capillary hysteresis,
- internal variable,
- numerical integration,
- two-phase flow,
- unsaturated soil

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References(14)

References

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