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- E F Kaasschieter
- 1999

Immiscible two-phase ow in porous media can be described by the fractional ow model. If capillary forces are neglected, then the saturation equation is a non-linear hyperbolic conservation law, known as the Buckley-Leverett equation. This equation can be numerically solved by the method of Godunov, in which the saturation is computed from the solution of… (More)

- K. Malakpoor, E. F. Kaasschieter, J. M. Huyghe
- 2007

The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory. This theory results in a coupled system of nonlinear parabolic differential equations together with an algebraic constraint for electroneutrality. In this model, it is desirable to obtain accurate approximations of the fluid flow and ions flow. Such accurate… (More)

- K. Malakpoor, E. F. Kaasschieter, J. M. Huyghe
- 2007

The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory in which a deformable and charged porous medium is saturated with a fluid with dissolved ions. Four components are defined: solid, liquid, cations and anions. The aim of this paper is the construction of the Lagrangian model of the four-component system. It is… (More)

- K Malakpoor, E F Kaasschieter, J M Huyghe
- 2007

Swelling and shrinking of cartilaginous tissues is modelled by a four-component mixture theory. This theory results in a set of coupled non-linear partial differential equations for the electrochemical potentials and the displacement. For the sake of local mass conservation these equations are discretised in space by a mixed finite element method.… (More)

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