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The convection heat transfer of hydrocarbon fuel under super-critical pressure has a great influence to regenerative cooling technology of scramjet.Some initial work has been completed aiming as supercritical convection heat transfer process of hydrocarbon fuel in the cooling channel.Base on the preconditioned AUSM+ (advection upwind splitting method+) combining Weiss-Smith preconditioned method,two dimension flow and heat transfer program is developed.In this paper,the developing process of program is discussed in detail.For the governing equation with preconditioned time derivatives,the modified method to AUSM+ scheme is described.Base on the current two dimension model,finally,the future work aiming as supercritical convection heat transfer process of hydrocarbon fuel is proposed.