Dr. Mario Ohlberger
Universität Freiburg
Efficient finite volume methods for convection dominated
flow in porous media
Abstract:
In this talk we focus on the efficient simulation of contaminant
transport,
including biodegradation, within a single or two-phase flow regime.
Using the IMPES formulation for the two phase flow equation both flow
regimes can be treated in the same numerical framework.
We discretise the equations by an operator splitting technique
where the flow equation is approximated by Raviart--Thomas mixed finite
elements and the saturation equation by vertex centered finite
volume methods.
The flow equations are coupled to the contaminant transport equations
via
the Darcy velocity.
For the discretization of the transport equations also a vertex centered
finite volume method is used.
Efficiency of the overall algorithm is obtained by using higher order
reconstructions within the finite volume scheme and adaption in space
and
time.
The adaptivity is based on a rigorous a posteriori error estimate for
finite
volume approximations of so called weakly coupled systems.
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Zeit: | Freitag,
29. November, 2002, 14.15 Uhr |
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Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG
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