Luca Bergamaschi & Mario Putti
In this work, we present a two-dimensional mixed-hybrid finite element
model of variably saturated flow on unstructured triangular meshes.
ities are approximated using lowest order Raviart-Thomas (RTo) elements
with piecewise constant pressure.
The resulting nonlinear systems of alge-
braic equations are solved using Picard or Newton iterations.
Theroretical superconvergence properties of the RTo approach are ex-
perimented on analytical sample problems.
It is shown that second order
convergence on the pressure head and velocity fields can be obtained at
particular points of the triangulation also on nonuniform meshes.
Simulations on a realistic sample test show that the Newton approach
achieves fast convergence if a good initial guess is provided by either the
Size: 691 kb
Paper DOI: 10.2495/CMWR980381
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