The ghost fluid method for inviscid compressible Euler equations
  Revised:March 19, 2004
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DOI:10.7511/jslx20064093
KeyWord:semi-discrete central-upwind schemes,level set method,ghost fluid method
FENG Jian-hu  CAI Li  XIE Wen-xian  WANG Zhen-hai
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Abstract:
      At first,the third-order Godunov-type semi-discrete central-upwind schemes were extended to fourth-order schemes.Then the new fourth-order semi-discrete central-upwind schemes were combined with the Level Set method and the ghost fluid method.By this way,the non-reacting shocks problems and detonation discontinuities in multimaterial flows are tracked successfully.Since the location of the interface is tracked by Level Set function implicitly and the boundary conditions are implicitly captured by the construction of a ghost fluid,the overall scheme becomes easy to implement in multidimension.