Author(s)

A. E. Taigbenu

Abstract

Time-dependent fundamental solution in Green element calculations of nonlinear unconfined flow A. E. Taigbenu Department of Civil & Water Engineering, National University of Science & Technology, BoxAC939, Bulawayo, Zimbabwe Abstract Transient flow in heterogeneous, isotropic, unconfined aquifers that is governed by the nonlinear heat conduction equation is solved by the Green element method (GEM) which incorporates the time-dependent fundamental solution of the linear diffusion differential operator in two spatial dimensions. This fundamental solution has traditionally been adopted for the linear heat transfer problem in classical boundary element computations, but here, because of the flexibility offered by the element-by- element approach of GEM, it is readily applied to the nonlinear unconfined flow problem. The Green element calculations can be carried out both on rectangular and triangular grids, while the aggregated element equations, that are nonlinear, are linear

Keywords