In this paper, the Level Set equation and Euler equations are used to study the compressible multicomponent flows in shocktube. Factors causing the spurious oscillations near material interfaces ae analyzed., It is found that the Level-Set equation in conservative form can not locate the interfaces of multicomponent flows accurately, and the relation between the ratio of specific heats gamma and the Level Set function phi should not be specified arbitraily. In order to avoid the spurious oscillations near the interfaces the Level Set equation in non-conservative form should be used, and with the relation specified between gamma and phi , the gamma must satisfy a certain type of discrete equation. Some variants of Level-Set function are introduced to ensure a consistent approximation of energy equation near the interfaces where differnet fluids are separated. Numerical experimetns are performed which show no spurious oscillations in pressure near the interfaces.
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