• Simulation of a drop transporting in a constraint channel with an anti-diffusion interface-steepening method.
  
  
  
• Simulation of a drop with insolvable surfactant in a shear flow with a conservative SPH model for surfactant dynamics.
  
  
  
• Simulation of double-Mach reflection of Mach shock wave on a 960 x 240 grid with an adaptive central-upwind weighted essential non-oscillatory scheme.
  
  
  
• Simulation of shock-water-drop interaction by conservative multi-fluid method using HLLC Riemann solver with generalized Roe average approach.
  
  
• Simulation of shock-bubble matrix interaction by conservative multi-fluid method.
  
  
• Simulation Rayleigh-Taylor instabilities with incompressible smoothed particle dynamics.
  
  
• Simulation of a polymer molecule confined in walls with smoothed dissipative particle dynamics.
  
  

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  Center for Turbulence Research (CTR)
  CTR summer program - The objective of the program is to promote the development and evaluation of new ideas in turbulence research. It is expected that novel ideas and preliminary results generated during the summer program will be of sufficiently high caliber to lead to publications and to provide the grounds for new research in the participants' home institutions.

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  Publications
  

  >Modeling Compressible Multi-fluids...
  

• Hu XY, Adams NA, Iaccarino G, On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow. J. Comp. Phys., 228, 6572-6589 (2009).
• Hu XY, Adams NA, Iaccarino G, Modeling full-Mach-range cavitating flow with sharp interface model. Proc. of the Summer Program, CTR, Stanford University, (2008).
• Hu XY, Adams NA, Shock-induced collapse of bubbles in liquid. The 26th International Symposium on Shock Waves, Geottingen, July 15 - 20, Germany, (2007).
• Hu XY, Khoo BC, Adams N, FL Huang, A conservative interface method for compressible flows. J. Comp. Phys., 219, 553-578 (2006).
• Hu XY, Adams NA, A smoothed interface interaction method for compressible flow. The 25th International Symposium on Shock Waves, Bangalore, July 17 - 21, India (2005) .
• Hu XY, Khoo BC, An interface interaction method for compressible multifluids. J. Comp. Phys., 198, 35-64, (2004)

  Modeling Incompressible Multi-fluids...
  

• So KK, Hu XY, Adams N, "Anti-diffusion method for interface steepening in two-phase incompressible flow.", submitted, (2009).

  Smoothed Particle Dynamics...
  

• Adami S, Hu XY, Adams N, "A conservative SPH method for surfactant dynamics.", J. Comp. Phys., 229, 1909-1926 (2010).
• Hu XY, Adams N, "A constant-density approach for incompressible multi-phase SPH.", J. Comp. Phys. 228, 2082-2091, (2009).
• Hu XY, Adams N, An incompressible multi-phase SPH method. J. Comp. Phys., 227, 264-278 (2007).
• Hu XY, Adams NA, Angular-momentum conservative smoothed particle dynamics for incompressible viscous flows. Phys. Fluids, 18, 101702 (2006).

  Modeling Micro-fluidics...
  

• Litvinov S, Ellero M, Hu XY, Adams NA, A splitting scheme for highly dissipative Smoothed Dissipative Particle Dynamics. Submitted (2009).
• Litvinov S, Ellero M, Hu XY, Adams NA, Self-diffusion coefficient in smoothed dissiaptive particle dynamics. J. Chem. Phys., 130, 021101 (2009).
• Litvinov S, Ellero M, Hu XY, Adams NA, "Smoothed dissipative particle dynamics model for polymer molecules in suspension.", Phys. Rev. E, 77, 066703 (2008).
• Hu XY, Adams N, A multi-phase SPH method for macroscopic and mesoscopic flows. J. Comput. Phys., 213, 844-861 (2006).

  Modeling Combustion and Detonation...
  

• Hu XY, Khoo BC, Zhang DL, Jiang ZL, The cellular structure of a two-dimensional H_2/O_2/Ar detonation wave. Combust. Theory Model., 8, 1-21, (2004).
• Hu XY, Khoo BC, Zhang DL, Jiang ZL, The structure and evolution of a two-dimensional H_2/O_2/Ar cellular detonation. Shock Waves, 14, 37-44, (2004).
• Hu XY, Guo CM, Zhang DL, Theoretical analysis on dynamic Mechanism of cellular detonation, Shock Waves, 11, 475-480, (2002).

  Numerical Algorithm for Fluid Mechanics...

• Hu XY, Wang Q, Adams NA, An adaptive central-upwind weighted essentially non-oscillatory scheme. submitted, (2009).
• Hu XY, Khoo BC, Kinetic energy fix for low internal energy flows. J. Comp. Phys., 193, 243-259, (2003).

Ph.D. Students