Dw. Pepper et De. Stephenson, AN ADAPTIVE FINITE-ELEMENT MODEL FOR CALCULATING SUBSURFACE TRANSPORTOF CONTAMINANT, Ground water, 33(3), 1995, pp. 486-496
A finite-element method which incorporates mesh adaptation is used to
calculate ground-water flow and pollutant transport. The formulation i
s based on the equations for conservation of mass, Darcy's law for an
anisotropic medium, and the time-dependent species transport equation.
Modifications have been implemented to the finite-element formulation
to enhance computational speed and reduce storage; Petrov-Galerkin we
ighting of the advection terms provides numerical stability. An explic
it time marching scheme is used to solve the transient equations. By u
tilizing unstructured adaptive meshing, species concentration and loca
tion of steep fronts are accurately resolved, even though one begins w
ith a coarse mesh. The algorithm currently runs on PC and workstation
class computers.