ABSTRACT In this research the reconciliation of Denton’s Finite volume method and McCormack’s Finite Difference method is suggested.The innovation of this article is initially about the reconciling the numerical solving method of the finite volume and finite difference method to model the flow between the fixed turbine blades. Then using the flowing entropic relations in Levenberg-Marquardt’s inverse modeling method it specifies the optimum number of nodes (perpendicular to the flow direction) or the range between finite volume solving method and finite difference method.Results obtained through inverse method using flowing entropic equations compared to simple reconciled method show a favorable agreement between experimental results and also a reduction of numerical errors.

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