Geodesic
Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows
Martina Deininger1 ; Jonathan Jung2 ; Romuald Skoda3 ; Philippe Helluy2 ; Claus-Dieter Munz4
1Robert Bosch GmbH, Wernerstraße 51, 70469 Stuttgart-Feuerbach
2University of Strasbourg, 7 rue René Descartes, 67000 Strasbourg
3Ruhr University Bochum, Universitätstr. 150, 44801 Bochum
4University of Stuttgart, Pfaffenwaldring 21, 70569 Stuttgart
ESAIM. Proceedings, Tome 38 (2012), pp. 298-318
Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

Numerical simulations of complete hydraulic systems (e.g. diesel injectors) can, due to high computational costs, currently not be done entirely in three dimensions. Our aim is to substitute the 3D solver by a corresponding 1D method in some parts of the system and develop a solver coupling with suitable interface models. Firstly, we investigate an interface model for non-cavitating flow passing the interface. A flux-coupling with a thin interface approach is considered and the jump in dimensions at the interface is transferred to an additional variable φ, which switches between the 3D and the 1D domain. As shown in two testcases, the error introduced in the vicinity of the interface is quite small. Two numerical flux formulations for the flux over the 3D-1D interface are compared and the Roe-type flux formulation is recommended. Secondly, extending the first method to cavitating flows passing the interface, we divide the density equation in two equations - one for liquid and one for vapor phase of the two-phase fluid - and couple the two equations by source terms depending on the free enthalpy. We propose two interface models for coupling 3D and 1D compressible density-based Euler methods that have potential for considering the entire (non-) cavitating hydraulic system behaviour by a 1D method in combination with an embedded detailed 3D simulation at much lower computational costs than the pure 3D simulation.
DOI : 10.1051/proc/201238016

Martina Deininger  1   ; Jonathan Jung  2   ; Romuald Skoda  3   ; Philippe Helluy  2   ; Claus-Dieter Munz  4

1 Robert Bosch GmbH, Wernerstraße 51, 70469 Stuttgart-Feuerbach
2 University of Strasbourg, 7 rue René Descartes, 67000 Strasbourg
3 Ruhr University Bochum, Universitätstr. 150, 44801 Bochum
4 University of Stuttgart, Pfaffenwaldring 21, 70569 Stuttgart 
@article{EP_2012_38_a15,
     author = {Martina Deininger and Jonathan Jung and Romuald Skoda and Philippe Helluy and Claus-Dieter Munz},
     title = {Evaluation of interface models for {3D-1D} coupling of compressible {Euler} methods for the application on cavitating flows},
     journal = {ESAIM. Proceedings},
     pages = {298--318},
     year = {2012},
     volume = {38},
     doi = {10.1051/proc/201238016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238016/}
}
TY  - JOUR
AU  - Martina Deininger
AU  - Jonathan Jung
AU  - Romuald Skoda
AU  - Philippe Helluy
AU  - Claus-Dieter Munz
TI  - Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows
JO  - ESAIM. Proceedings
PY  - 2012
SP  - 298
EP  - 318
VL  - 38
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201238016/
DO  - 10.1051/proc/201238016
LA  - en
ID  - EP_2012_38_a15
ER  - 
%0 Journal Article
%A Martina Deininger
%A Jonathan Jung
%A Romuald Skoda
%A Philippe Helluy
%A Claus-Dieter Munz
%T Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows
%J ESAIM. Proceedings
%D 2012
%P 298-318
%V 38
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201238016/
%R 10.1051/proc/201238016
%G en
%F EP_2012_38_a15
Martina Deininger; Jonathan Jung; Romuald Skoda; Philippe Helluy; Claus-Dieter Munz. Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows. ESAIM. Proceedings, Tome 38 (2012), pp. 298-318. doi: 10.1051/proc/201238016

Cité par Sources :