Explosion and impact are nonlinear problems where a variety of media,such as gas,solid and liquid,strongly interact under high speed,high temperature and high pressure conditions,formidable challenge is imposed on the theoretical and experimental research.Due to such advantages as security,confidentiality,design flexibility,environment and process controllability and high cost-effective ratio,numerical simulation becomes the main approach to investigate such problems.This paper introduces in detail the researches on high resolution computations of explosion and impact problems and multi-medium interface treatment conducted by the authors in recent years.Based on real ghost fluid method(RGFM)method and Level Set method,the computational method that can address high density and high pressure ratio is proposed.High order finite difference weighted essentially non-oscillatory(WENO)method are generalized to solve the explosion problems with chemical reaction source terms.Based on this,a high precision parallel computation code was developed for explosion and impact problems.The code can simulate problems such as gas detonation,initiation of condensed-phase explosives,detonation diffraction,shock wave interaction with bubbles,underwater explosion,jet formation and penetration.By constructing artificial solutions and comparison with experimental results,the accuracy and computation results of the computation method are validated and verified.