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

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