Preconditioners for simulating groundwater flow with large
contrasts in medium parameters
Lennart Ros
Site of the project:
Deltares
Delft
start of the project:
September 2007
In January 2008 the
Interim Thesis has been appeared
and a
presentation has been given.
The Master project has been finished in July 2008
by the completion of the
Masters Thesis
and a final
presentation has been given.
For working address etc. we refer to our alumnipage.
Summary of the master project:
In densely populated areas, land use and planning are closely related
to
demands on water management of, for example, natural, agricultural and
recreational areas. It is therefore important to base management of
both
groundwater and surfacewater systems on these demands.
At Deltares, simulation software is being developed for groundwater
and
surfacewater management. The finite-difference code named MODFLOW is
used for solving the groundwater flow equation based on Darcy flow. In
this code the linear system of equations resulting from discretization
is being solved with the conjugated gradient solver using an
incomplete
Cholesky preconditioning. However, this preconditioner seems to fail
for
applications with large contrasts in medium parameters, resulting in
poor convergence behavior. This happens, for example, near faults such
as the Peelrandbreuk. A possible technique to improve convergence is
to
use a deflation-based preconditioner.
Goal of the Master's project is to tackle the problem of the observed
poor convergence rates and to implement a suitable preconditioner
in the MODFLOW code. The Master's project will be carried out at both
location Delft (former WL | Delft Hydraulics) as in Utrecht (former
TNO
groundwater group).
A map of an application area
Contact information:
Kees
Vuik
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