Interface calculations in numerical method for Eulerian hydrodynamics
  
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DOI:10.7511/jslx20044073
KeyWord:Euler,interface,2 dimension,3 dimension
Abstract
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Abstract:
      The algorithm proposed in this paper can be used to deal with interface of mixed cell (including free surface cell) in remapping step of twostep 2-d and 3-d multi-component Eulerian hydrodynamics numerical methods. In a mixed cell the interface is regarded as a straight line in 2-d problems or plane in 3-d problems. The whole method is composed of three steps: (1) Using area fractions of eight cells in 2-d problems or volume fractions of twenty six cells in 3-d problems surrounding the mixed cell to determine the normal orientation of the interface. (2) Determining the equation (position) of the interface with the area fraction (2-d) or volume fraction (3-d) of the mixed cell. (3) Calculating the flux passing across the boundary of cell, and area fraction (2-d) or volume fraction (3-d) of cell at next time. In the last part of this paper, some 2-d and 3-d results of calculation in comparison with results of MEPH (simplified SLIC) are presented.