The dynamics of compressible liquid--vapor flow
depends sensitively on the microscale behavior at the phase boundary. We
consider a sharp-interface approach, and propose a multiscale model to
describe liquid--vapor flow accurately, without imposing ad-hoc closure
relations on the continuum scale. The multiscale model combines the
Euler equations on the continuum scale with molecular-scale particle
simulations that govern the interface motion. We rely on an
interface-preserving moving mesh finite volume method to discretize the
continuum-scale sharp-interface flow in a conservative manner.
Computational efficiency, while preserving physical properties, is
achieved by a surrogate solver for the interface dynamics based on
constraint-aware neural networks. The multiscale model is presented in
its general form, and applied to regimes of temperature-dependent
liquid--vapor flow which have not been accessible before.
%0 Generic
%1 magiera.rohde:molecular:2022
%A Magiera, Jim
%A Rohde, Christian
%D 2022
%J arXiv e-prints
%K ians imported myown vor:mathematik vorlaeufig
%R 10.48550/arXiv.2204.02233
%T A Molecular--Continuum Multiscale Model for Inviscid
Liquid--Vapor Flow with Sharp Interfaces
%U https://doi.org/10.48550/arXiv.2204.02233
%X The dynamics of compressible liquid--vapor flow
depends sensitively on the microscale behavior at the phase boundary. We
consider a sharp-interface approach, and propose a multiscale model to
describe liquid--vapor flow accurately, without imposing ad-hoc closure
relations on the continuum scale. The multiscale model combines the
Euler equations on the continuum scale with molecular-scale particle
simulations that govern the interface motion. We rely on an
interface-preserving moving mesh finite volume method to discretize the
continuum-scale sharp-interface flow in a conservative manner.
Computational efficiency, while preserving physical properties, is
achieved by a surrogate solver for the interface dynamics based on
constraint-aware neural networks. The multiscale model is presented in
its general form, and applied to regimes of temperature-dependent
liquid--vapor flow which have not been accessible before.
@preprint{magiera.rohde:molecular:2022,
abstract = {The dynamics of compressible liquid--vapor flow
depends sensitively on the microscale behavior at the phase boundary. We
consider a sharp-interface approach, and propose a multiscale model to
describe liquid--vapor flow accurately, without imposing ad-hoc closure
relations on the continuum scale. The multiscale model combines the
Euler equations on the continuum scale with molecular-scale particle
simulations that govern the interface motion. We rely on an
interface-preserving moving mesh finite volume method to discretize the
continuum-scale sharp-interface flow in a conservative manner.
Computational efficiency, while preserving physical properties, is
achieved by a surrogate solver for the interface dynamics based on
constraint-aware neural networks. The multiscale model is presented in
its general form, and applied to regimes of temperature-dependent
liquid--vapor flow which have not been accessible before.},
added-at = {2022-04-07T10:56:22.000+0200},
archiveprefix = {arXiv},
author = {Magiera, Jim and Rohde, Christian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2db711192a8201d124b734c4db206feda/jimmagiera},
doi = {10.48550/arXiv.2204.02233},
eprint = {2204.02233},
eprintclass = {math.NA},
eprinttype = {arXiv},
file = {online:http\:/arxiv.org/pdf/2204.02233v1:PDF},
interhash = {2f984181c78ce8870ad424f548dfa564},
intrahash = {db711192a8201d124b734c4db206feda},
journal = {arXiv e-prints},
keywords = {ians imported myown vor:mathematik vorlaeufig},
langid = {english},
primaryclass = {math.NA},
timestamp = {2022-04-07T08:58:08.000+0200},
title = {A Molecular--Continuum Multiscale Model for Inviscid
Liquid--Vapor Flow with Sharp Interfaces},
url = {https://doi.org/10.48550/arXiv.2204.02233},
year = 2022
}