Discontinuous Galerkin methods have become a powerful tool for approximation
the solution of compressible flow problems. Their direct use for two-phase
flow problems with phase transformation is not straightforward because
this type of flows requires a detailed tracking of the phase front.
We consider the fronts in this contribution as sharp interfaces and
propose a novel multiscale approach. It combines an efficient high-order
Discontinuous Galerkin solver for the computation in the bulk phases
on the macro-scale with the use of a generalized Riemann solver on
the micro-scale. The Riemann solver takes into account the effects
of moderate surface tension via the curvature of the sharp interface
as well as phase transformation. First numerical experiments in three
space dimensions underline the overall performance of the method.
%0 Conference Paper
%1 jagle2012multiscale
%A Jägle, Felix
%A Rohde, Christian
%A Zeiler, Christoph
%B European series in applied and industrial mathematics. Proceedings and Surveys
%D 2012
%K ians liste mult unibibliografie
%N 38
%P 387-408
%R 10.1051/proc/201238022
%T A multiscale method for compressible liquid-vapor flow with surface tension
%X Discontinuous Galerkin methods have become a powerful tool for approximation
the solution of compressible flow problems. Their direct use for two-phase
flow problems with phase transformation is not straightforward because
this type of flows requires a detailed tracking of the phase front.
We consider the fronts in this contribution as sharp interfaces and
propose a novel multiscale approach. It combines an efficient high-order
Discontinuous Galerkin solver for the computation in the bulk phases
on the macro-scale with the use of a generalized Riemann solver on
the micro-scale. The Riemann solver takes into account the effects
of moderate surface tension via the curvature of the sharp interface
as well as phase transformation. First numerical experiments in three
space dimensions underline the overall performance of the method.
@inproceedings{jagle2012multiscale,
abstract = {Discontinuous Galerkin methods have become a powerful tool for approximation
the solution of compressible flow problems. Their direct use for two-phase
flow problems with phase transformation is not straightforward because
this type of flows requires a detailed tracking of the phase front.
We consider the fronts in this contribution as sharp interfaces and
propose a novel multiscale approach. It combines an efficient high-order
Discontinuous Galerkin solver for the computation in the bulk phases
on the macro-scale with the use of a generalized Riemann solver on
the micro-scale. The Riemann solver takes into account the effects
of moderate surface tension via the curvature of the sharp interface
as well as phase transformation. First numerical experiments in three
space dimensions underline the overall performance of the method.},
added-at = {2019-06-17T14:25:24.000+0200},
author = {Jägle, Felix and Rohde, Christian and Zeiler, Christoph},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2c95456884b12198473c1dafbdc4b8afc/britsteiner},
doi = {10.1051/proc/201238022},
eventdate = {2011-07-18/2011-08-26},
eventtitle = {CEMRACS’11, Multiscale Coupling of Complex Models in Scientific Computing},
interhash = {65cf3025792b9d117f7a0b150d4185e1},
intrahash = {c95456884b12198473c1dafbdc4b8afc},
issn = {2267-3059},
keywords = {ians liste mult unibibliografie},
language = {eng},
number = 38,
pages = {387-408},
series = {European series in applied and industrial mathematics. Proceedings and Surveys},
timestamp = {2019-06-17T12:34:15.000+0200},
title = {A multiscale method for compressible liquid-vapor flow with surface tension},
venue = {Marseille, France},
year = 2012
}