Time-dependent Fundamental Solution In Green Element
Calculations Of Nonlinear Unconfined Flow
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
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