AnewlatticeBoltzmannmodelforcompressibleperfectgasispro-posed.Thenumericalexampleshowsthatitcanbeusedtosimulateshockwaveandcontactdiscontinuity.Theresultsarecomparablewiththoseobtainedbytraditionalmethods.Theratioofspecificheatsγmaybechosenaccordingtotherequirementofproblems.