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

REFERENCES

• H. B. Xiong , L. L. Zheng , and T. Streibl , A Critical Assessment of Particle Temperature Distribution During Plasma Spraying: Numerical Studies for YSZ , Plasma Chem. Plasma Process. , vol. 26 , no. 1 , pp. 53 – 72 , 2006 .
   Web of Science ®Google Scholar
• L. Li , A. Vaidya , S. Sampath , H. B. Xiong , and L. L. Zheng , Particle Characterization and Splat Formation of Plasma Sprayed Zirconia . J. Thermal Spray Technol ., vol. 15 , no. 1 , pp. 97 – 105 , 2006 .
   Web of Science ®Google Scholar
• H. B. Xiong , L. L. Zheng , L. L. , and A. Vaiday , Melting and Oxidation Behavior of In-flight Particles in Plasma Spray Process , Int. J. Heat Mass Transfer , vol. 48 , pp. 5121 – 5133 , 2005 .
   Google Scholar
• H. Zhang , X. Y. Wang , L. L. Zheng , and S. Sampath , Numerical Simulation of Nucleation, Solidification and Microstructure Formation in Thermal Spraying , Int. J. Heat Mass Transfer , vol. 47 , pp. 2191 – 2203 , 2004 .
   Web of Science ®Google Scholar
• H. Zhang , Theoretical Analysis of Spreading and Solidification of Molten Droplet During Thermal Spray Deposition , Int. J. Heat Mass Transfer , vol. 42 , pp. 2499 – 2508 , 1999 .
   Web of Science ®Google Scholar
• M. Pasandideh-Fard , S. Chandra , and J. Mostaghimi , A Three-Dimensional Model of Droplet Impact and Solidification , Int. J. Heat Mass Transfer , vol. 45 , pp. 2229 – 2242 , 2002 .
   Web of Science ®Google Scholar
• M. Raessi and J. Mostaghimi , Three-Dimensional Modeling of Density Variation due to Phase Change in Complex Free Surface Flows , Numer. Heat Transfer B , vol. 47 , pp. 507 – 531 , 2005 .
   Web of Science ®Google Scholar
• L. L. Zheng and H. Zhang , An Adaptive Level Set Method for Moving-Boundary Problems: Applications to Droplet Spreading and Solidification , Numer. Heat Transfer B , vol. 37 , pp. 435 – 454 , 2000 .
   Google Scholar
• H. Zhang , L. L. Zheng , V. Prasad , and T. Y. Hou , A Curvilinear Level Set Formulation for Highly Deformable Free Surface Problems with Application to solidification , Numer. Heat Transfer B , vol. 34 , pp. 1 – 20 , 1998 .
   Web of Science ®Google Scholar
• Z. Zhao , D. Poulikakos , and J. Fukai , Heat Transfer and Fluid Dynamics During the Collision of a Liquid Droplet on a Substrate—I. Modeling , Int. J. Heat Mass Transfer , vol. 39 , pp. 2771 – 2789 , 1996 .
   Web of Science ®Google Scholar
• V. Butty , D. Poulikakos , and J. Giannakouros , Three-Dimensional Presolidification Heat Transfer and Fluid Dynamics in Molten Microdroplet Deposition , Int. J. Heat Fluid Flow , vol. 23 , pp. 232 – 241 , 2002 .
   Google Scholar
• R. A. Gingold and J. J. Monaghan , Smoothed Particle Hydrodynamics—Theory and Application to Non-spherical Stars , Monthly Notices R. Astron. Soc. , vol. 181 , pp. 375 – 389 , 1977 .
   Web of Science ®Google Scholar
• L. B. Lucy , Numerical Approach to Testing of Fission Hypothesis , Astron. J. , vol. 82 , pp. 1013 – 1024 , 1977 .
   Web of Science ®Google Scholar
• W. Benz , Smooth Particle Hydrodynamics: A Review , in Numerical Modeling of Non-linear Stellar Pulsation: Problems and Prospects , Kluwer , Boston , 1990 .
   Google Scholar
• J. J. Monaghan , Particle Methods for Hydrodynamics, Comput. Phys. Rep. , vol. 3, pp. 71–124, 1985.
   Web of Science ®Google Scholar
• J. J. Monaghan , Smoothed Particle Hydrodynamics , Annu. Rev. Astron. Astrophys. , vol. 30 , pp. 543 – 574 , 1992 .
   Web of Science ®Google Scholar
• G. R. Liu and M. B. Liu , Smoothed Particle Hydrodynamics—A Meshfree Particle Method , World Scientific , Singapore , 2003 .
   Google Scholar
• J. P. Morris , Simulating Surface Tension with Smoothed Particle Hydrodynamics , Int. J. Numer. Meth. Fluids , vol. 33 , pp. 333 – 353 , 2000 .
   Web of Science ®Google Scholar
• S. Nugent and H. A. Posch , Liquid Drops and Surface Tension with Smoothed Particle Applied Mechanics , Phys. Rev. E , vol. 62 , pp. 4968 – 4975 , 2000 .
   PubMed Web of Science ®Google Scholar
• Y. Melean , L. D. G. Sigalotti , and A. Hasmy , On the SPH Tensile Instability in Forming Viscous Liquid Drops , Comput. Phys. Commun. , vol. 157 , pp. 191 – 200 , 2004 .
   Google Scholar
• Y. Melean and L. D. G. Sigalotti , Coalescence of Colliding van der Waals Liquid Drops , Int. J. Heat Mass Transfer , vol. 48 , pp. 4041 – 4061 , 2005 .
   Web of Science ®Google Scholar
• J. J. Monaghan , H. E. Huppert , and M. G. Worster , Solidification Using Smoothed Particle Hydrodynamics , J. Comput. Phys. , vol. 206 , pp. 684 – 705 , 2005 .
   Web of Science ®Google Scholar
• J. P. Morris , P. J. Fox , and Y. Zhu , Modeling Low Reynolds Number Incompressible Flows Using SPH , J. Comput. Phys. , vol. 136 , pp. 214 – 226 , 1997 .
   Web of Science ®Google Scholar
• J. J. Monaghan and J. C. Lattanzio , A Refined Particle Method for Astrophysical Problems , Astron. Astrophys. , vol. 149 , pp. 135 – 143 , 1985 .
   Web of Science ®Google Scholar
• J. J. Monaghan , Simulating Free Surface Flows with SPH , J. Comput. Phys. , vol. 110 , pp. 399 – 406 , 1994 .
   Web of Science ®Google Scholar
• S. Deshpande , S. Sampath , and H. Zhang , Mechanisms of Oxidation and Its Role in Microstructural Evolution of Metallic Thermal Spray Coatings—Case Study for Ni–Al , Surface Coatings Technol. , vol. 200 , pp. 5395 – 5406 , 2006 .
   Web of Science ®Google Scholar