Performance Of Picard And N-R Algorithms In
Green Element Simulations Of Unsaturated
Flows
Author(s)
Akpofure E. Taigbenu
Abstract
Flows in variably saturated media are not only of profound interest to numerical
analysts, engineers and scientists because of the challenge they pose as a result of
their highly nonlinear constitutive relations, but also because of their importance in
many fields of engineering such as drainage, irrigation, environmental, soil, and
petroleum engineering. In this paper, the Picard and Newton-Raphson (N-R)
algorithms are incorporated into the Green element method (GEM) to simulate these
flows. The Green element method offers a viable means of implementing the
singular boundary integral theory so that the theory is of more general application,
and computational efficiency is enhanced [1]. Here the GEM discretizes the
Keywords
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