Geodesic
Viscoelastic flows in a rough channel: A multiscale analysis
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 2, pp. 483-508

Voir la notice de l'article provenant de la source Numdam

We investigate the influence of the rough boundaries on viscoelastic flows, described by the diffusive Oldroyd model. The fluid domain has a rough wall modeled by roughness patterns of size ε≪1. We present and rigorously justify an asymptotic expansion with respect to ε, at any order, based upon the definition of elementary problems: Oldroyd-type problems at the global scale defined on a smoothened domain and boundary-layer corrector problems. The resulting analysis guarantees optimality with respect to the truncation error and leads to a numerical algorithm which allows us to build the approximation of the solution at any required precision.

DOI : 10.1016/j.anihpc.2016.01.002
Keywords: Viscoelastic fluid, Roughness, Oldroyd model, Boundary layer 
@article{AIHPC_2017__34_2_483_0,
     author = {Chupin, Laurent and Martin, S\'ebastien},
     title = {Viscoelastic flows in a rough channel: {A} multiscale analysis},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {483--508},
     publisher = {Elsevier},
     volume = {34},
     number = {2},
     year = {2017},
     doi = {10.1016/j.anihpc.2016.01.002},
     zbl = {1381.76017},
     mrnumber = {3610942},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.01.002/}
}
TY  - JOUR
AU  - Chupin, Laurent
AU  - Martin, Sébastien
TI  - Viscoelastic flows in a rough channel: A multiscale analysis
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2017
SP  - 483
EP  - 508
VL  - 34
IS  - 2
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.01.002/
DO  - 10.1016/j.anihpc.2016.01.002
LA  - en
ID  - AIHPC_2017__34_2_483_0
ER  - 
%0 Journal Article
%A Chupin, Laurent
%A Martin, Sébastien
%T Viscoelastic flows in a rough channel: A multiscale analysis
%J Annales de l'I.H.P. Analyse non linéaire
%D 2017
%P 483-508
%V 34
%N 2
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.01.002/
%R 10.1016/j.anihpc.2016.01.002
%G en
%F AIHPC_2017__34_2_483_0
Chupin, Laurent; Martin, Sébastien. Viscoelastic flows in a rough channel: A multiscale analysis. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 2, pp. 483-508. doi: 10.1016/j.anihpc.2016.01.002

Cité par Sources :