Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T04:02:52.510Z Has data issue: false hasContentIssue false
  • English
  • Français

Particle Methods for Viscous Flows: Analogies and Differences Between the SPH and DVH Methods

Published online by Cambridge University Press:  31 August 2016

Andrea Colagrossi ,
Emanuele Rossi ,
Salvatore Marrone  and
David Le Touzé
Andrea Colagrossi*
Affiliation:
CNR-INSEAN, Marine Technology Research Institute, Rome, 00128, Italy
Emanuele Rossi*
Affiliation:
CNR-INSEAN, Marine Technology Research Institute, Rome, 00128, Italy Ecole Centrale Nantes, LHEEA Lab. (UMR CNRS), Nantes, France
Salvatore Marrone*
Affiliation:
CNR-INSEAN, Marine Technology Research Institute, Rome, 00128, Italy Ecole Centrale Nantes, LHEEA Lab. (UMR CNRS), Nantes, France
David Le Touzé*
Affiliation:
Ecole Centrale Nantes, LHEEA Lab. (UMR CNRS), Nantes, France
*
*Corresponding author. Email addresses:andrea.colagrossi@cnr.it (A. Colagrossi), erossi.vortex@gmail.com (E. Rossi), salvatore.marrone@cnr.it (S. Marrone), david.letouze@ec-nantes.fr (D. Le Touzé)
*Corresponding author. Email addresses:andrea.colagrossi@cnr.it (A. Colagrossi), erossi.vortex@gmail.com (E. Rossi), salvatore.marrone@cnr.it (S. Marrone), david.letouze@ec-nantes.fr (D. Le Touzé)
*Corresponding author. Email addresses:andrea.colagrossi@cnr.it (A. Colagrossi), erossi.vortex@gmail.com (E. Rossi), salvatore.marrone@cnr.it (S. Marrone), david.letouze@ec-nantes.fr (D. Le Touzé)
*Corresponding author. Email addresses:andrea.colagrossi@cnr.it (A. Colagrossi), erossi.vortex@gmail.com (E. Rossi), salvatore.marrone@cnr.it (S. Marrone), david.letouze@ec-nantes.fr (D. Le Touzé)
Get access

Abstract

In this work two particle methods are studied in the context of viscous flows. The first one is a Vortex Particle Method, called Diffused Vortex Hydrodynamics (DVH), recently developed to simulate complex viscous flows at medium and high Reynolds regimes. This method presents some similarities with the SPH model and its Lagrangian meshless nature, even if it is based on a different numerical approach. Advantages and drawbacks of the two methods have been previously studied in Colagrossi et al. [1] from a theoretical point of view and in Rossi et al. [2], where these particle methods have been tested on selected benchmarks. Further investigations are presented in this article highlighting analogies and differences between the two particle models.

Keywords

Particle methodsmeshless methodsvortex methodsSmoothed Particle Hydrodynamics (SPH)Diffused Vortex Hydrodynamics (DVH)
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 3 , September 2016 , pp. 660 - 688
Copyright
Copyright © Global-Science Press 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Colagrossi, A., Graziani, G., and Pulvirenti, M., Journal of Mathematics and Mechanics of Complex Systems 2, 45 (2014).CrossRefGoogle Scholar
[2] Rossi, E., Colagrossi, A., and Graziani, G., Computers and Mathematics with Applications 69, 1484 (2015a).CrossRefGoogle Scholar
[3] Rossi, E., Colagrossi, A., Bouscasse, B., and Graziani, G., Communications in Computational Physics 18, 351 (2015b).CrossRefGoogle Scholar
[4] Brackbill, J. U., Kothe, D. B., and Ruppel, H. M., Computer Physics Communications 48, 25 (1988).CrossRefGoogle Scholar
[5] Vacondio, R., Rogers, B., Stansby, P., Mignosa, P., and Feldman, J., Computer Methods in Applied Mechanics and Engineering (2013).Google Scholar
[6] Chorin, A., Journal of Fluid Mechanics 57, 785 (1973).CrossRefGoogle Scholar
[7] Quinlan, N. J., Lastiwka, M., and Basa, M., International Journal for Numerical Methods in Engineering 66, 2064 (2006).CrossRefGoogle Scholar
[8] Le Touzé, D., Colagrossi, A., Colicchio, G., and Greco, M., International Journal for Numerical Methods in Fluids 73, 660 (2013).CrossRefGoogle Scholar
[9] Tartakovsky, A. M. and Meakin, P., Journal of Computational Physics 207, 610 (2005).CrossRefGoogle Scholar
[10] Antuono, M., Bouscasse, B., Colagrossi, A., and Marrone, S., Computer Physics Communications 185, 2609 (2014).CrossRefGoogle Scholar
[11] Wendland, H., Adv. Comput. Math. 4, 389 (1995).CrossRefGoogle Scholar
[12] Ranucci, M., Ph.D. thesis, Sapienza, Università di Roma (1995).Google Scholar
[13] Cottet, G.-H. and Koumoutsakos, P. D., Vortex methods: theory and practice (Cambridge university press, 2000).CrossRefGoogle Scholar
[14] Monaghan, J. J., Reports on Progress in Physics 68, 1703 (2005).CrossRefGoogle Scholar
[15] Antuono, M., Colagrossi, A., Le Touzé, D., and Monaghan, J. J., International Journal for Numerical Methods in Fluids 72, 583 (2013), ISSN 1097-0363.CrossRefGoogle Scholar
[16] Graziani, G., Ranucci, M., and Piva, R., Computational mechanics 15, 301 (1995).CrossRefGoogle Scholar
[17] Hockney, R. and E.J.W., , Computer simulation using particles (Adam Hilger, Bristol, 1988).CrossRefGoogle Scholar
[18] Barnes, J. and Hut, P. (1986).Google Scholar
[19] Greengard, L. and Rokhlin, V., Journal of Computational Physics 73, 325 (1987).CrossRefGoogle Scholar
[20] Price, D. and Monaghan, J., Mon. Not. R. Astron. Soc. 0, 1 (2003).Google Scholar
[21] Marsh, A., Oger, G., Le Touzé, D., and Guibert, D., in 6th International SPHERIC workshop (2011), pp. 86–92.Google Scholar
[22] Barcarolo, D., Touzé, D. L., Oger, G., and de Vuyst, F., Journal of Computational Physics 273, 640 (2014).CrossRefGoogle Scholar
[23] Vila, J., Mathematical Models & Methods in Applied Sciences 9, 161 (1999).CrossRefGoogle Scholar
[24] Marongiu, J.-C., Leboeuf, F., Caro, J., and Parkinson, E., Journal of Hydraulic Research 48, 40 (2010).CrossRefGoogle Scholar
[25] Koukouvinis, P., Anagnostopoulos, J., and Papantonis, D. E., International Journal for Numerical Methods in Fluids 71, 1152 (2013).CrossRefGoogle Scholar
[26] Antuono, M., Colagrossi, A., and Marrone, S., Computer Physics Communications 183, 2570 (2012).CrossRefGoogle Scholar
[27] Swegle, J. W., Hicks, D. L., and Attaway, S. W., Journal of Computational Physics 116, 123 (1995).CrossRefGoogle Scholar
[28] Belytschko, T. and Xiao, S., Computer and Mathematics with applications 43, 329 (2002).CrossRefGoogle Scholar
[29] Belytschko, T., Guo, Y., Liu, W., and Xiao, S., Int. J. Numer. Methods Engineering 48, 1359 (2000).3.0.CO;2-U>CrossRefGoogle Scholar
[30] Randles, P. and Libersky, L., International Journal for Numerical Methods in Engineering 48, 1445 (2000).3.0.CO;2-9>CrossRefGoogle Scholar
[31] Monaghan, J., J. Comp. Phys. 159, 290 (2000).CrossRefGoogle Scholar
[32] Bonet, J. and Kulasegaram, S., Int. J. Numer. Methods Engineering 52, 1203 (2001).CrossRefGoogle Scholar
[33] Barba, L., Leonard, A., and A.C.B., , in 16th AIAA Computational Fluid Dynamics Conference (2003), vol. AIAA 2003-2140.Google Scholar
[34] Gharakhani, A., in 15th AIAA Computational Fluid Dynamics Conference (2001), pp. 1–10.Google Scholar
[35] Benson, M., Bellamy-Knights, P., Gerrard, J., and Gladwell, I., Journal of Fluids and Structures 3, 439 (1989).CrossRefGoogle Scholar
[36] Colagrossi, A., Bouscasse, B., Antuono, M., and Marrone, S., Computer Physics Communications 183, 1641 (2012).CrossRefGoogle Scholar
[37] Monaghan, J. and Gingold, R. A., Journal of Computational Physics 52, 374 (1983).CrossRefGoogle Scholar
[38] Morris, J. P., Fox, P. J., and Zhu, Y., Journal of Computational Physics 136, 214 (1997).CrossRefGoogle Scholar
[39] Español, P. and Revenga, M., Phys. Rev. E 67, 026705 (2003).CrossRefGoogle Scholar
[40] Colagrossi, A., Souto-Iglesias, A., Antuono, M., and Marrone, S., Phys. Rev. E 87, 023302 (2013).CrossRefGoogle Scholar
[41] Colagrossi, A., Bouscasse, B., and Marrone, S., Phys. Rev. E 92, 053003 (2015).CrossRefGoogle Scholar
[42] Colagrossi, A., Antuono, M., Souto-Iglesias, A., and Le Touzé, D., Physical Review E 84, 026705 (2011).Google Scholar
[43] Violeau, D., Phys. Rev. E 80, 036705 (2009).CrossRefGoogle Scholar
[44] Lind, S., Xu, R., Stansby, P., and Rogers, B., Journal of Computational Physics 231, 1499 (2012).CrossRefGoogle Scholar
[45] Fatehi, R. and Manzari, M., Computers & Mathematics with Applications 61, 482 (2011), ISSN 0898-1221.CrossRefGoogle Scholar
[46] Violeau, D. and Leroy, A., Journal of Computational Physics 256, 388 (2014).Google Scholar
[47] Marrone, S., Colagrossi, A., Antuono, M., Colicchio, G., and Graziani, G., Journal of Computational Physics 245, 456 (2013), ISSN 0021-9991.CrossRefGoogle Scholar
[48] Bouscasse, B., Colagrossi, A., Marrone, S., and Antuono, M., Journal of Fluids and Structures 42, 112 (2013).CrossRefGoogle Scholar
[49] Lee, E. S., Moulinec, C., Xu, R., Violeau, D., Laurence, D., and Stansby, P., Journal of Computational Physics 227, 8417 (2008).CrossRefGoogle Scholar
[50] Violeau, D. and Leroy, A., Journal of Computational Physics 288, 119 (2015).CrossRefGoogle Scholar
[51] Marrone, S., Colagrossi, A., Di Mascio, A., and Le Touzé, D., Journal of Fluids and Structures 54, 802 (2015).CrossRefGoogle Scholar
[52] Trask, N., Maxey, M., Kim, K., Perego, M., Parks, M. L., Yang, K., and Xu, J., Computer Methods in Applied Mechanics and Engineering 289, 155 (2015).CrossRefGoogle Scholar
[53] Xu, R., Stansby, P., and Laurence, D., Journal of Computational Physics 228, 6703 (2009), ISSN 0021-9991.CrossRefGoogle Scholar
[54] Nestor, R. M., Basa, M., Lastiwka, M., and Quinlan, N. J., Journal of Computational Physics 228, 1733 (2009).CrossRefGoogle Scholar
[55] Federico, I., Marrone, S., Colagrossi, A., Aristodemo, F., and Antuono, M., European Journal of Mechanics-B/Fluids 34, 35 (2012).CrossRefGoogle Scholar
[56] Bouscasse, B., Colagrossi, A., Souto-Iglesias, A., and Marrone, S., in 33rd International Conference on Ocean, Offshore and Arctic Engineering (OMAE), edited by Asme (2014).Google Scholar
[57] Monaghan, J., J. Comp. Phys. 110, 39 (1994).CrossRefGoogle Scholar
[58] Colagrossi, A., Antuono, M., and Le Touzé, D., Physical Review E 79, 056701 (pages 13) (2009).CrossRefGoogle Scholar