文档介绍：putation of
Multiphase Flows in Porous Media
Peter Bastian
Habilitationsschrift
vorgelegt an der Technischen Fakult¨at der
Christian–Albrechts–Universit¨at Kiel
zur Erlangung der Venia legendi im Fachgebiet
Informatik (Wissenschaftliches Rechnen)
ii
Preface
Groundwater is a precious resource that is important for all forms of life on earth.
The quality of groundwater is impaired by leaking disposal dumps and tanks
or accidental release. Cleanup of contaminated sites is very difficult, if at all
possible, and estimated costs amount to hundreds of billions of DM in Germany.
Underground waste repositories currently being planned in many countries have
to be designed in such a way that groundwater quality is not harmed.
In all these problems numerical simulation can help to gain a better process
understanding, to make predictive studies and to ultimately optimize remedia-
tion techniques with respect to cost and efficiency. Clearly, this is a long term
goal and considerable progress is necessary in all aspects of the modeling pro-
cess. The present work is a contribution to the fast numerical solution of the
partial differential equations (PDE) governing multiphase flow in porous me-
dia. A fully–coupled Newton–multigrid procedure has been implemented on
the basis of the general purpose PDE software UG which allows the treatment
of large–scale problems with millions of unknowns in three space dimensions
on contemporary puter architectures.
I am very grateful to G. Wittum for continuously encouraging this (and pre-
vious) work. His unlimited support of UG and the productive atmosphere at
ICA III provided the basis of this work. R. Helmig introduced me to the field of
multiphase flow in porous media. His enthusiasm for the subject was always a
source of inspiration for me and I thank him for the years of excellent collabo-
ration.
I am deeply indebted to my colleagues K. Birken, K. Johannsen, S. Lang,
N. Neuß, H. Rentz–Reichert and C.