Adaptive two-scale models for processes with evolution of microstructures
M. Redeker. University of Stuttgart, Holzgartenstr. 16, 70174 Stuttgart, (2014)
Zusammenfassung
In this dissertation two combinable numerical solution schemes are
developed that - either in combination or on their own - allow for
an efficient numerical solution of two-scale models that describe
physical processes with changing microstructures via the combination
of partial differential equations on a macro- and a microscopic length-scale.
Furthermore, a two-scale phase-field model is established, that describes
in a porous medium a pore-scale precipitation and a Darcy-scale diffusion
process of in a fluid dissolved particles. One of the developed solution
schemes is used in order to solve this model efficiently in a large
time-space-cylinder. Numerical results show the interdependence of
the pore-scale precipitation and the Darcy-scale diffusion process.
%0 Thesis
%1 redeker2014adaptive
%A Redeker, Magnus
%C Holzgartenstr. 16, 70174 Stuttgart
%D 2014
%K from:mhartmann ians imported vorlaeufig
%T Adaptive two-scale models for processes with evolution of microstructures
%U http://elib.uni-stuttgart.de/opus/volltexte/2014/9443
%X In this dissertation two combinable numerical solution schemes are
developed that - either in combination or on their own - allow for
an efficient numerical solution of two-scale models that describe
physical processes with changing microstructures via the combination
of partial differential equations on a macro- and a microscopic length-scale.
Furthermore, a two-scale phase-field model is established, that describes
in a porous medium a pore-scale precipitation and a Darcy-scale diffusion
process of in a fluid dissolved particles. One of the developed solution
schemes is used in order to solve this model efficiently in a large
time-space-cylinder. Numerical results show the interdependence of
the pore-scale precipitation and the Darcy-scale diffusion process.
@phdthesis{redeker2014adaptive,
abstract = {In this dissertation two combinable numerical solution schemes are
developed that - either in combination or on their own - allow for
an efficient numerical solution of two-scale models that describe
physical processes with changing microstructures via the combination
of partial differential equations on a macro- and a microscopic length-scale.
Furthermore, a two-scale phase-field model is established, that describes
in a porous medium a pore-scale precipitation and a Darcy-scale diffusion
process of in a fluid dissolved particles. One of the developed solution
schemes is used in order to solve this model efficiently in a large
time-space-cylinder. Numerical results show the interdependence of
the pore-scale precipitation and the Darcy-scale diffusion process.},
added-at = {2018-07-20T10:54:26.000+0200},
address = {Holzgartenstr. 16, 70174 Stuttgart},
author = {Redeker, Magnus},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/21ac994202f6bd88fef4e04cbe427dba5/mathematik},
interhash = {5804ffd7a5c9864c730ca585038082d2},
intrahash = {1ac994202f6bd88fef4e04cbe427dba5},
keywords = {from:mhartmann ians imported vorlaeufig},
owner = {redeker},
school = {University of Stuttgart},
timestamp = {2019-12-18T14:37:55.000+0100},
title = {Adaptive two-scale models for processes with evolution of microstructures},
url = {http://elib.uni-stuttgart.de/opus/volltexte/2014/9443},
year = 2014
}
