Computational method for Moving Least Squares Particles Hydrodynamics with artificial heat flux
  Revised:June 30, 2005
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DOI:10.7511/jslx20074094
KeyWord:MLSPH method,artificial heat flux,multi-fluids
HU Xiao-yan  NI Guo-xi  WEN Wan-zhi
1. Graduate School, China Academy of Engineering Physics, Beijing 100088, China;2. LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088,China
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Abstract:
      The basic theory of Moving Least Squares Particles Hydrodynamics(MLSPH) is presented firstly and 1D MLSPH algorithm is also discussed,the expression of artificial viscosity,the evolvement of the MLSPH scheme and the method of time integration are included.But when this algorithm is implemented,there is the oscillation near contact discontinuities,which is one of the difficult problems in hydrodynamics by meshfree methods.To reduce the oscillations near interface of different matierials,the artificial heat flux of meshfree is added into the equation of energy in MLSPH.Finally,numerical tests of different 1D shock tube problem for multi-fluids are given,the phenomenon of oscillation near contact discontinuities reduces in evidence,which shows the efficiency of this method.