Parallel simulation of multiphase flows using octree adaptivity and the volume-of-fluid method;Simulation parallèle adaptative octree d'écoulements multiphasiques par suivi d'interface de type volume de fluide

Comptes Rendus - Mecanique

Volumn 339, Issue 2-3, 2011, Pages 194-207

  Agbaglah, Gilou ^a,b   Delaux, Sébastien ^c   Fuster, Daniel ^a,b   Hoepffner, Jérôme ^a,b   Josserand, Christophe ^a,b   Popinet, Stéphane ^a,b,c   Ray, Pascal ^a,b   Scardovelli, Ruben ^d   Zaleski, Stéphane ^a,b  

^a SORBONNE UNIVERSITÉ   (France)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

^c NATIONAL INSTITUTE OF WATER AND ATMOSPHERIC RESEARCH   (New Zealand)

^d UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Atomisation; Computer science; Droplet impact; Octree; Parallel computing; Two phase flow; Volume of fluid

Indexed keywords

COMPUTER; NUMERICAL MODEL; PARALLEL COMPUTING; SOFTWARE; VOLUME;

GERRIS;

EID: 79551656521     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2010.12.006     Document Type: Short Survey

References (34)

1. Fuster D., Agbaglah G., Josserand C., Popinet S., Zaleski S. Numerical simulation of droplets, bubbles and waves: state of the art. Fluid Dynam. Res. 2009, 41:065001.
2. Popinet S. An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 2009, 228(16):5838-5866.
3. Sussman M., Almgren A.S., Bell J.B., Colella P., Howell L.H., Welcome M.L. An adaptive level set approach for incompressible two-phase flows. J. Comput. Phys. 1999, 148:81-124.
4. Lebas R., Menard T., Beau P.A., Berlemont A., Demoulin F.X. Numerical simulation of primary break-up and atomization: DNS and modelling study. Int. J. Multiphase Flow 2009, 35:247-260.
5. Popinet S. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. J. Comput. Phys. 2003, 190(2):572-600.
6. Agresar G., Linderman J.J., Tryggvason G., Powell K.G. An adaptive, Cartesian, front-tracking method for the motion, deformation and adhesion of circulating cells. J. Comput. Phys. 1998, 43:346-380.
7. Gibou F., Chen L., Nguyen D., Banerjee S. A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change. J. Comput. Phys. 2007, 222:536-555.
8. Popinet S. The Gerris flow solver http://gfs.sf.net.
9. G. Tryggvason, R. Scardovelli, S. Zaleski, Direct Numerical Simulations of Gas-Liquid Multiphase Flows, Cambridge University Press, 2011, in press.
10. Aulisa E., Manservisi S., Scardovelli R., Zaleski S. Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry. J. Comput. Phys. 2007, 225:2301-2319.
11. Li J. Calcul d'interface affine par morceaux. C. R. Acad. Sci. Paris Sér. IIb (Paris) 1995, 320:391-396.
12. Scardovelli R., Zaleski S. Interface reconstruction with least-square fit and split Lagrangian-Eulerian advection. Int J. Numer. Meth. Fluids 2003, 41:251-274.
13. Aulisa E., Manservisi S., Scardovelli R., Zaleski S. A geometrical area-preserving volume of fluid advection method. J. Comput. Phys. 2003, 192:355-364.
14. Francois M.M., Cummins S.J., Dendy E.D., Kothe D.B., Sicilian J.M., Williams M.W. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comput. Phys. 2006, 213(1):141-173.
15. Popinet S. The GNU triangulated surface library http://gts.sf.net.
16. Diekmann R., Preis R., Schlimbach F., Walshaw C. Shape-optimized mesh partitioning and load balancing for parallel adaptive FEM. Parallel Comput. 2000, 26(12):1555-1581.
17. Boillat J.E. Load balancing and Poisson equation in a graph. Concurrency: Practice and Experience 1990, 2(4):289-313.
18. Hu Y.F., Blake R.J., Emerson D.R. An optimal migration algorithm for dynamic load balancing. Concurrency: Practice and Experience 1998, 10(6):467-483.
19. J.K. Johnson, D. Bickson, D. Dolev, Fixing convergence of Gaussian belief propagation, in: IEEE International Symposium on Information Theory (ISIT) 2009.
20. Kellerer H., Pferschy U., Pisinger D. Knapsack Problems 2004, Springer-Verlag.
21. Popinet S. Atomisation of a pulsed liquid jet http://gfs.sourceforge.net/examples/examples/atomisation.html.
22. Fuster D., Bagué A., Boeck T., Le Moyne L., Leboissetier A., Popinet S., Ray P., Scardovelli R., Zaleski S. Simulation of primary atomization with an octree adaptive mesh refinement and VOF method. Int. J. Multiphase Flow 2009, 35(6):550-565.
23. Zable J.L. Splatter during ink jet printing. IBM J. Res. Development 1977, 21(4):315-320.
24. Einsenklam P. Atomisation of liquid fuel for combustion. J. Inst. Fuel 1961, 0:130-143.
25. Planchon O., Mouche E. A physical model for the action of raindrop erosion on soil microtopography. Soil Sci. Soc. Am. J. 2010, 74:1092-1103.
26. Thoroddsen S.T., Etoh T.G., Takehara K. Air entrapment under an impacting drop. J. Fluid Mech. 2003, 478:125-134.
27. Mehdi-Nejad V., Mostaghimi J., Chandra S. Air bubble entrapment under an impacting droplet. Phys. Fluids 2003, 15(1):173-183.
28. Josserand C., Zaleski S. Droplet splashing on a thin liquid film. Phys. Fluids 2003, 15:1650.
29. Mandre S., Mani M., Brenner M.P. Precursors to splashing of liquid droplets on a solid surface. Phys. Rev. Lett. 2009, 102:134502.
30. Howison S.D., Ockendon J.R., Oliver J.M., Purvis R., Smith F.T. Droplet impact on a thin fluid layer. J. Fluid. Mech. 2005, 542:1-23.
31. F. Ben Rayana, Étude des instabilités interfaciales liquide-gaz en atomisation assistée et tailles de gouttes, PhD thesis, Institut National Polytechnique de Grenoble, 2007.
32. Boeck T., Zaleski S. Viscous versus inviscid instability of two-phase mixing layers with continuous velocity profile. Phys. Fluids 2005, 17:032106.
33. Marmottant P., Villermaux E. On spray formation. J. Fluid Mech. 2004, 498:73-111.
34. Crone T.J., Tolstoy M. Magnitude of the 2010 Gulf of Mexico oil leak. Science 2010, 330(6004):634.