Towards large-scale three-dimensional blood flow simulations in realistic geometries

Céline Caldini-Queiros; Vincent Chabannes; Mourad Ismail; Goncalo Pena; Christophe Prud’homme; Marcela Szopos; Ranine Tarabay

doi:10.1051/proc/201343013

Geodesic

Parcourir par

Towards large-scale three-dimensional blood flow simulations in realistic geometries

Céline Caldini-Queiros ¹ ; Vincent Chabannes ² ; Mourad Ismail ³ ; Goncalo Pena ⁴ ; Christophe Prud’homme ⁵ ; Marcela Szopos ⁵ ; Ranine Tarabay ⁵

¹ Laboratoire de Mathématiques de Besançon, UMR CNRS 6623, Université de Franche-Comté, 16 route de Gray 25030 Besançon Cedex, France
² Laboratoire Jean Kuntzmann, Université Joseph Fourier Grenoble 1, BP53 38041 Grenoble Cedex 9, France,
³ Université Grenoble 1 / CNRS, Laboratoire Interdisciplinaire de Physique / UMR 5588. Grenoble, F-38041, France
⁴ CMUC, Department of Mathematics, Apartado 3008, EC Santa Cruz, 3001-501 Coimbra, Portugal
⁵ Université de Strasbourg / CNRS, IRMA / UMR 7501. Strasbourg, F-67000, France

ESAIM. Proceedings, Tome 43 (2013), pp. 195-212.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

This paper addresses the numerical approximation of uid dynamics problems using various finite element methods including high order methods and high order geometry. The paper is divided in three parts. The first part concerns the various problem formulations and discretization methods we are interested in. Using the Stokes equations as model, several different types of boundary conditions are presented and discussed. The second part deals with describing the high performance framework Feel++ with which we obtained the various numerical results including scalability studies. Finally we display numerical results: we start with convergence properties of the various formulations and associated discretization choices including high order geometries and we finish with a Navier-Stokes simulation within the cerebral venous system.

DOI : 10.1051/proc/201343013

Affiliations des auteurs :

Céline Caldini-Queiros ¹ ; Vincent Chabannes ² ; Mourad Ismail ³ ; Goncalo Pena ⁴ ; Christophe Prud’homme ⁵ ; Marcela Szopos ⁵ ; Ranine Tarabay ⁵

@article{EP_2013_43_a13,
     author = {C\'eline Caldini-Queiros and Vincent Chabannes and Mourad Ismail and Goncalo Pena and Christophe Prud{\textquoteright}homme and Marcela Szopos and Ranine Tarabay},
     title = {Towards large-scale three-dimensional blood flow simulations in realistic geometries},
     journal = {ESAIM. Proceedings},
     pages = {195--212},
     publisher = {mathdoc},
     volume = {43},
     year = {2013},
     doi = {10.1051/proc/201343013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201343013/}
}

TY  - JOUR
AU  - Céline Caldini-Queiros
AU  - Vincent Chabannes
AU  - Mourad Ismail
AU  - Goncalo Pena
AU  - Christophe Prud’homme
AU  - Marcela Szopos
AU  - Ranine Tarabay
TI  - Towards large-scale three-dimensional blood flow simulations in realistic geometries
JO  - ESAIM. Proceedings
PY  - 2013
SP  - 195
EP  - 212
VL  - 43
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201343013/
DO  - 10.1051/proc/201343013
LA  - en
ID  - EP_2013_43_a13
ER  -

%0 Journal Article
%A Céline Caldini-Queiros
%A Vincent Chabannes
%A Mourad Ismail
%A Goncalo Pena
%A Christophe Prud’homme
%A Marcela Szopos
%A Ranine Tarabay
%T Towards large-scale three-dimensional blood flow simulations in realistic geometries
%J ESAIM. Proceedings
%D 2013
%P 195-212
%V 43
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201343013/
%R 10.1051/proc/201343013
%G en
%F EP_2013_43_a13

Céline Caldini-Queiros; Vincent Chabannes; Mourad Ismail; Goncalo Pena; Christophe Prud’homme; Marcela Szopos; Ranine Tarabay. Towards large-scale three-dimensional blood flow simulations in realistic geometries. ESAIM. Proceedings, Tome 43 (2013), pp. 195-212. doi : 10.1051/proc/201343013. http://geodesic.mathdoc.fr/articles/10.1051/proc/201343013/

Cité par Sources :