Page 46 - Fundamentals of Computational Geoscience Numerical Methods and Algorithms

32 2 Simulating Steady-State Natural Convective Problems

Fig. 2.14 Distributions of pore-fluid velocity and temperature in the porous medium (Case 1,
Analytical solutions)

for the axisymmetrical convective pore-fluid flow problem (Zhao et al. 1997a). This
indicates that the progressive asymptotic approach procedure, although it was pre-
viously developed for the finite element modelling of two-dimensional convective
pore-fluid flow problems, is equally applicable to the finite element modelling of
three-dimensional convective pore-fluid flow in fluid-saturated porous media when
they are heated from below.