An incompressible multi-phase smoothed particle hydrodynamics (SPH) method for modelling thermocapillary flow

International Journal of Heat and Mass Transfer

Volumn 73, Issue , 2014, Pages 284-292

  Tong, Mingming ^a   Browne, David J ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Heat transfer; Marangoni force; Multiphase flow; Smoothed particle hydrodynamics; Thermocapillary flow; Truly incompressible SPH

Indexed keywords

GRADIENT OF TEMPERATURE; MARANGONI FORCE; PARTICLE METHODS; SMOOTHED PARTICLE HYDRODYNAMICS; SMOOTHED PARTICLE HYDRODYNAMICS METHODS; THERMAL INFLUENCE; THERMOCAPILLARY FLOW; TRULY INCOMPRESSIBLE SPH;

CAPILLARY FLOW; HEAT TRANSFER; INCOMPRESSIBLE FLOW; MULTIPHASE FLOW;

HYDRODYNAMICS;

EID: 84897761295     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2014.01.064     Document Type: Article

References (42)

1. G.M. Oreper, T.W. Eagar, and J. Szekely Convection in arc weld pools Weld. J. 1983 307s 312s
2. R.T.C. Choo, and J. Szekely The effect of gas shear stress on Marangoni flows in arc welding Weld. J. 1991 223s 233s
3. M.C. Tsai, and S. Kou Electromagnetic-force-induced convection in weld pools with a free surface Weld. J. 1990 241s 246s
4. Y. Wang, Q. Shi, and H.L. Tsai Modeling of the effects of surface-active elements on flow patterns and weld penetration Metall. Trans. 32B 2001 145 161 (Pubitemid 32271502)
5. H. Liu, Y. Zhang, and A.J. Valocchi Modeling and simulation of thermocapillary flows using lattice Boltzmann method J. Comput. Phys. 231 2012 4433 4453
6. R.P. Shi, Y. Wang, C.P. Wang, and X.J. Liu Self-organization of core-shell and core-shell-corona structures in small liquid droplets Appl. Phys. Lett. 98 2011 204106
7. H. Liu, and A.J. Valocchi Phase-field-based lattice Boltzmann finite-difference model for simulating thermocapillary flows Phys. Rev. E 87 2013 013010
8. H. Liu, A.J. Valocchi, Y. Zhang, and Q. Kang Lattice Boltzmann phase-field modeling of thermocapillary flows in a confined microchannel J. Comput. Phys. 256 2014 334 356
9. C. Ma, and D. Bothe Direct numerical simulation of thermocapillary flow based on the volume of fluid method Int. J. Multiph. Flow 37 2011 1045 1058
10. S. Nas, and G. Tryggvason Thermocapillary interaction of two bubbles or drops Int. J. Multiph. Flow 29 2003 1117 1135 (Pubitemid 36882091)
11. J. Hu, H. Guo, and H.L. Tsai Weld pool dynamics and the formation of ripples in 3D gas metal arc welding Int. J. Heat Mass Transfer 51 2008 2537 2552 (Pubitemid 351483872)
12. G. Xu, J. Hu, and H.L. Tsai Three-dimensional modeling of arc plasma and metal transfer in gas metal arc welding Int. J. Heat Mass Transfer 52 2009 1709 1724
13. Y. Wang, and H.L. Tsai Impingement of filler droplets and weld pool dynamics during gas metal arc welding process Int. J. Heat Mass Transfer 44 2001 2067 2080 (Pubitemid 32376346)
14. J. Hu, and H.L. Tsai Heat and mass transfer in gas metal arc welding. Part I: the arc Int. J. Heat Mass Transfer 50 2007 833 846 (Pubitemid 46186342)
15. J. Zhao, L. Zhang, Z. Li, and W. Qin Topological structure evolvement of flow and temperature fields in deformable drop Marangoni migration in microgravity Int. J. Heat Mass Transfer 54 2011 4655 4663
16. M. Tong, and D.J. Browne Direct numerical simulation of melt-gas hydrodynamic interactions during the early stage of atomisation of liquid intermetallic J. Mater. Process. Technol. 202 2008 419 427 (Pubitemid 351615569)
17. M. Tong, and D.J. Browne Direct modeling of the simultaneous flow of compressible atomizing gas jets and a weakly compressible liquid intermetallic stream during gas atomization M. Palm, B.P. Bewlay, Y.-H. He, M. Takeyama, J.M.K. Wiezorek, Advanced Intermetallic-Based Alloys for Extreme Environment and Energy Applications Materials Research Society Symposium Proceedings vol. 1128 2009 MRS Warrendale, PA 323 328
18. A.R. Gingold, and J.J. Monaghan Smoothed particle hydrodynamics: theory and application to non-spherical stars Mon. Not. R. Astron. Soc. 181 1977 375 389
19. J.J. Monaghan Smoothed particle hydrodynamics Rep. Prog. Phys. 68 2005 1703 1759 (Pubitemid 41016604)
20. J.J. Monaghan Simulating free surface flows with SPH J. Comput. Phys. 110 1994 399 406 (Pubitemid 124013372)
21. A. Colagrossi, and M. Landrini Numerical simulation of interfacial flows by smoothed particle hydrodynamics J. Comput. Phys. 191 2003 448 475 (Pubitemid 37340510)
22. M. Antuono, A. Colagrossi, S. Marrone, and D. Molteni Free-surface flows solved by means of SPH schemes with numerical diffusive terms Comput. Phys. Commun. 181 2010 532 549
23. D. Molteni, and A. Colagrossi A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH Comput. Phys. Commun. 180 2009 861 872
24. E.-S. Lee, C. Moulinec, R. Xu, D. Violeau, D. Laurence, and P. Stansby Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method J. Comput. Phys. 227 2008 8417 8436
25. X.Y. Hu, and N.A. Adams An incompressible multi-phase SPH method J. Comput. Phys. 227 2007 264 278
26. X.Y. Hu, and N.A. Adams A constant-density approach for incompressible multi-phase SPH J. Comput. Phys. 228 2009 2082 2091
27. S. Adami, X.Y. Hu, and N.A. Adams A conservative SPH method for surfactant dynamics J. Comput. Phys. 229 2010 1909 1926
28. H. Wendland Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Adv. Comput. Math. 4 1995 389 396 (Pubitemid 126012128)
29. P.W. Cleary, and J.J. Monaghan Conduction modelling using smoothed particle hydrodynamics J. Comput. Phys. 148 1999 227 264
30. P.W. Cleary Modelling confined multi-material heat and mass flows using SPH Appl. Math. Model. 22 1998 981 993 (Pubitemid 29167791)
31. P.W. Cleary Extension of SPH to predict feeding, freezing and defect creation in low pressure die casting Appl. Math. Model. 34 2010 3189 3201
32. P.W. Cleary, J. Ha, M. Prakash, and T. Nguyen 3D SPH flow predictions and validation for high pressure die casting of automotive components Appl. Math. Model. 30 2006 1406 1427 (Pubitemid 44137109)
33. P.W. Cleary, and J. Ha Three-dimensional smoothed particle hydrodynamics simulation of high pressure die casting of light metal components J. Light Met. 2 2002 169 183
34. W.J. Minkowycz, and E.M. Sparrow Advances in Numerical Heat Transfer 1997 Taylor & Francis USA pp. 341-359 (Chapter 9 by V. Voller)
35. V.R. Voller, and C.R. Swaminathan Fixed grid techniques for phase change problems: a review Int. J. Numer. Methods Eng. 30 1990 875 898 (Pubitemid 21672163)
36. J.U. Brackbill, D.B. Kothe, and C. Zemach A continuum method for modeling surface tension J. Comput. Phys. 100 1992 335 354
37. S. Adami, X.Y. Hu, and N.A. Adams A new surface-tension formulation for multi-phase SPH using a reproducing divergence approximation J. Comput. Phys. 229 2010 5011 5021
38. G.R Liu, and M.B. Liu Smoothed Particle Hydrodynamics - A Meshfree Method 2003 World Scientific Publishing Co. Pte.Ltd Singapore pp. 177-184
39. M.b. Liu, and G.R. Liu Smoothed particle hydrodynamics (SPH): an overview and recent development Arch. Comput. Methods Eng. 17 2010 25 76
40. H.A. Van Der Vorst Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems S. J. Sci. Stat. Comput. 13 1992 631 644
41. S.J. Cummins, and M. Rudman An SPH projection method J. Comput. Phys. 152 1999 584 607
42. M. Tong, G. Duggan, J. Liu, Y. Xie, M. Dodge, L. Aucott, H. Dong, R. Davidchack, J. Dantzig, O. Barrera, A. Cocks, H. Kitaguchi, S. Lozano-Perez, C. Zhao, I. Richardson, A. Kidess, C. Kleijn, S. Wen, R. Barnett, and D. Browne Multiscale, multiphysics numerical modeling of fusion welding with experimental characterization and validation JOM - J. Miner. Metals Mater. Soc. 65 2013 99 106