Abstract: A kind of numerical simulation algorithms for instabilities of fluid interfaces,Ghost Fluid Method, is discussed.The setting of fluid variables in ghost regions is directly based on multiple dimensional cases.Moreover,non-splitting high resolution schemes are used to solve the fluid dynamic equations. At last, the algorithm is applied to the simulation of interface instabilities of fluid dyanmics,and satisfied numerical results are obtained.

Key words: interface instability, ghost fluid method, level set method