Geodesic
A streamline derivative POD-ROM for advection-diffusion-reaction equations
Samuele Rubino1
1 Departmento EDAN & IMUS, Universidad of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain; e-mail: samuele@us.es
ESAIM. Proceedings, Tome 64 (2018), pp. 121-136 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (POD-ROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-reaction equations. In this framework, the numerical analysis for the Finite Element (FE) discretization of the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Numerical tests for advection-dominated regime show the effciency of the proposed method, as well the increased accuracy over the standard POD-ROM that discovers its well-known limitations very soon in the numerical settings considered, i.e. for low diffusion coeffcients.
DOI : 10.1051/proc/201864121

Samuele Rubino 1

1 Departmento EDAN & IMUS, Universidad of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain; e-mail: samuele@us.es 
@article{EP_2018_64_a9,
     author = {Samuele Rubino},
     title = {A streamline derivative {POD-ROM} for advection-diffusion-reaction equations},
     journal = {ESAIM. Proceedings},
     pages = {121--136},
     year = {2018},
     volume = {64},
     doi = {10.1051/proc/201864121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201864121/}
}
TY  - JOUR
AU  - Samuele Rubino
TI  - A streamline derivative POD-ROM for advection-diffusion-reaction equations
JO  - ESAIM. Proceedings
PY  - 2018
SP  - 121
EP  - 136
VL  - 64
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201864121/
DO  - 10.1051/proc/201864121
LA  - en
ID  - EP_2018_64_a9
ER  - 
%0 Journal Article
%A Samuele Rubino
%T A streamline derivative POD-ROM for advection-diffusion-reaction equations
%J ESAIM. Proceedings
%D 2018
%P 121-136
%V 64
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201864121/
%R 10.1051/proc/201864121
%G en
%F EP_2018_64_a9
Samuele Rubino. A streamline derivative POD-ROM for advection-diffusion-reaction equations. ESAIM. Proceedings, Tome 64 (2018), pp. 121-136. doi: 10.1051/proc/201864121

Cité par Sources :