Geodesic
Time-Implicit Hydrodynamics for Euler Flows
Serge Van Criekingen1 ; Edouard Audit1 ; Jeaniffer Vides2 ; Benjamin Braconnier3
1 CEA, Maison de la Simulation, USR 3441, CEA - CNRS - INRIA - Univ. Paris Sud - UVSQ, Gif-sur-Yvette, France
2 INRIA, Maison de la Simulation, USR 3441, CEA - CNRS - INRIA - Univ. Paris Sud - UVSQ, Gif-sur-Yvette, France
3 IFP Energies Nouvelles, Rueil-Malmaison, France
ESAIM. Proceedings, Tome 45 (2014), pp. 290-299.

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We consider the Euler equations with gravity source terms, and derive a time-implicit resolution scheme from the explicit one developed by Vides et al. [8]. This requires computing a Jacobian matrix, which is done symbolically using the automatic differentiation tool TAPENADE developed at Inria. The resulting sparse linear system is solved using the PETSc library. We present parallel numerical results for a 2-D Rayleigh-Taylor instability on up to 4096 CPU cores.
DOI : 10.1051/proc/201445030

Serge Van Criekingen 1 ; Edouard Audit 1 ; Jeaniffer Vides 2 ; Benjamin Braconnier 3

1 CEA, Maison de la Simulation, USR 3441, CEA - CNRS - INRIA - Univ. Paris Sud - UVSQ, Gif-sur-Yvette, France
2 INRIA, Maison de la Simulation, USR 3441, CEA - CNRS - INRIA - Univ. Paris Sud - UVSQ, Gif-sur-Yvette, France
3 IFP Energies Nouvelles, Rueil-Malmaison, France 
@article{EP_2014_45_a30,
     author = {Serge Van Criekingen and Edouard Audit and Jeaniffer Vides and Benjamin Braconnier},
     title = {Time-Implicit {Hydrodynamics} for {Euler} {Flows}},
     journal = {ESAIM. Proceedings},
     pages = {290--299},
     publisher = {mathdoc},
     volume = {45},
     year = {2014},
     doi = {10.1051/proc/201445030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445030/}
}
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Serge Van Criekingen; Edouard Audit; Jeaniffer Vides; Benjamin Braconnier. Time-Implicit Hydrodynamics for Euler Flows. ESAIM. Proceedings, Tome 45 (2014), pp. 290-299. doi : 10.1051/proc/201445030. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445030/

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