Solve Heat Transfer in Turbo Engine Blade with High Accuracy Difference Scheme

Heat transfer equation in curvilinear coordinate has been given,and first order item and cross item is deal as source item,then 3-D ADI compact difference scheme with the accuracy O(Δτ+Δh4)for numerical simulating heat transfer equation in complex computation zone,forth order difference accuracy scheme is studied for solving source item,finally stability of the scheme is validated by the solution of Fourier.To validate accuracy and reliability,analytic solution was selected,and the numerical results agreed well with the experimental data,the solution for solving heat transfer in complex computation zones can be using in engineering,analysing heat transfer in turbo blade with a cavity.