Application of Smoothed Particle Hydrodynamics Method to Free Surface and Solidification Problems

The smoothed particle hydrodynamics (SPH) method is developed to simulate free surface and solidification problems. A new treatment is included to handle particles near the free and solidification interfaces. The method is applied to a droplet impacting on substrates with different roughnesses. Spreading, solidification, oxide redistribution, and droplet pinch-off are presented in two- and three-dimensional geometry configurations. This work demonstrates the SPH model as a powerful tool to study transport phenomena in problems with free surface deformation and solidification.

[1]  J. Monaghan.  Particle methods for hydrodynamics , 1985 .

[2]  Leonardo Di G. Sigalotti,et al.  On the SPH tensile instability in forming viscous liquid drops , 2004 .

[3]  Mehdi Raessi,et al.  Three-Dimensional Modelling of Density Variation Due to Phase Change in Complex Free Surface Flows , 2005 .

[4]  Hui Zhang,et al.  Numerical simulation of nucleation, solidification, and microstructure formation in thermal spraying , 2004 .

[5]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[6]  Dimos Poulikakos,et al.  Heat transfer and fluid dynamics during the collision of a liquid droplet on a substrate—II. Experiments , 1996 .

[7]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[8]  Lili Zheng,et al.  Melting and oxidation behavior of in-flight particles in plasma spray process , 2005 .

[9]  W. Benz.  Smooth Particle Hydrodynamics: A Review , 1990 .

[10]  Tilo Streibl,et al.  A Critical Assessment of Particle Temperature Distributions During Plasma Spraying: Numerical Studies for YSZ , 2006 .

[11]  J. Monaghan,et al.  Solidification using smoothed particle hydrodynamics , 2005 .

[12]  J. Morris.  Simulating surface tension with smoothed particle hydrodynamics , 2000 .

[13]  Javad Mostaghimi,et al.  A three-dimensional model of droplet impact and solidification , 2002 .

[14]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[15]  H. Zhang,et al.  AN ADAPTIVE LEVEL SET METHOD FOR MOVING-BOUNDARY PROBLEMS: APPLICATION TO DROPLET SPREADING AND SOLIDIFICATION , 2000 .

[16]  H. Posch,et al.  Liquid drops and surface tension with smoothed particle applied mechanics , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Leonardo Di G. Sigalotti,et al.  Coalescence of colliding van der Waals liquid drops , 2005 .

[18]  D. Poulikakos,et al.  Three-dimensional presolidification heat transfer and fluid dynamics in molten microdroplet deposition , 2002 .

[19]  J. Monaghan,et al.  A refined particle method for astrophysical problems , 1985 .

[20]  Hui Zhang,et al.  Theoretical analysis of spreading and solidification of molten droplet during thermal spray deposition , 1999 .

[21]  T. Hou,et al.  A CURVILINEAR LEVEL SET FORMULATION FOR HIGHLY DEFORMABLE FREE SURFACE PROBLEMS WITH APPLICATION TO SOLIDIFICATION , 1998 .

[22]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[23]  Li Li,et al.  Particle characterization and splat formation of plasma sprayed zirconia , 2006 .

[24]  J. Monaghan.  Simulating Free Surface Flows with SPH , 1994 .

[25]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[26]  Hui Zhang,et al.  Mechanisms of oxidation and its role in microstructural evolution of metallic thermal spray coatings—Case study for Ni–Al , 2006 .

[27]  L. L. Zheng, H. Zhang.  AN ADAPTIVE LEVEL SET METHOD FOR MOVING-BOUNDARY PROBLEMS: APPLICATION TO DROPLET SPREADING AND SOLIDIFICATION , 2000 .