Calcul parallèle appliqué aux écoulements de fluides complexes
DOI:
https://doi.org/10.13052/REMN.16.703-722Keywords:
finites elements, parallel computing, object oriented programmingAbstract
In this paper we present numerical simulations of complex fluid flows performed on a PC cluster. These simulations were possible thanks to a parallelization strategy that is transparent and efficient: each developer does not need to know a parallel programming library and its specific language. Instead, he uses purely SPMD tools to build their applications. Two examples are shown, as well as the computational results obtained for problems that need the resolution of linear Systems of over 7 million of unknowns.
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References
Adalsteinsson D., Sethian J.A., “A fast level set method for propating interfaces”, Journal of
Computational Physics, vol. 118, 1995, p. 269-277.
Arnold D.N., Brezzi F., Fortin M., “A stable finite élément for Stokes equations”, Calcolo,
vol. 21, 1984, p. 337-344.
Basermann A., Clinckemaillie J., Coupez T., Fingberg I., Digonnet H., Ducloux R.,
Gratien J.-M., Hartmann U., Lonsdale G., Maerten B., Roose D., Walshaw C, “Dynamic
load balancing of finite élément applications with the drama library”, Applied
Mathematical Modelling, vol. 25, n° 2, 2000, p. 83-98.
Beraudo C., Fortin A., Coupez T., Demay Y., Vergnes B., Agassant J.F., “A finite élément
method for Computing the flow of multi-mode viscoelastic fluids: Comparison with
experiments”, Journal of Non-Newtonian Fluid Mechanics, vol. 75, 1998, p. 1-23.
Blackwell R.J., McLeish T.C.B., Harlen O.G., “Molecular drag-strain coupling in branched
polymer melts”, Journal of Rheology, vol. 44, 2000, p. 121-136.
Coupez T., Stable-stabilized finite élément for 3d forming calculation, Rapport interne, 1996,
CEMEF-ENSMP.
Digonnet H., Coupez T., “Object-oriented programming for fast-and-easy development of
parallel applications in forming processes simulation”, Second MIT Conférence on
Computational Fluid and Solid Mechanics, Massachussets Institute of Technology,
Elsevier, 2003, p. 1922-1924.
Digonnet H., Coupez T., « Calcul parallèle en mise en forme des matériaux », XVe Congrès
Français de Mécanique, 2003, Nice.
Inkson N.J., McLeish T.C.B., Harlen O.G., Groves D.J., “Predicting low density polyethylene
melt rheology in elongational and shear flows with “pom-pom” constitutive equations”,
Journal of Rheology, vol. 43, 1999, p. 873-869.
McInnes L.C., Balay S., Gropp W. D., Smith B. F., Petsc users manual, Rapport technique
ANL-95/11- Revision 2.1.3, 2002, Argonne National Laboratory.
McLeish T.C.B., Larson R.G., “Molecular constitutive équations for a class of branched
polymers: the pom-pom model”, Journal of Rheology, vol. 42, 1998, p. 81-110.
Silva L., Valette R., Coupez T., “3D MFE for compressible viscoelasticity with moving free
surfaces”, Journal for Non-Newtonian Fluid Mechanics, soumis.
Sirakov Y., On the Steady Flow of Compressible Viscous Fluid and its Stability with Respect
to Initial Disturbance, Thèse de doctorat, Ecole des Mines de Saint-Etienne, 2000.
Sussman M., Smereka P., Osher S., “A level set méthode for Computing solutions to
incompressible two-phase flow”, Journal of Computational Physics, vol. 114, 1994
p. 146-159.