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
Cet article a éte moissonné depuis la source EDP Sciences
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.
Affiliations des auteurs :
Martina Deininger 1 ; Jonathan Jung 2 ; Romuald Skoda 3 ; Philippe Helluy 2 ; Claus-Dieter Munz 4
@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
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