In this paper, the equivalent equations of DLR k−ε turbulent model in the boundary-fitted curvilinear coordinate are employed. Using the upwind idea that the contribution of the difference coefficients to the main node is positive contribution, and the other nodes are negative contribution or no contribution, new five-point difference schemes with a full diagonally dominant coefficient matrix (5-point-DD difference scheme) are constructed. Finally, taking the (Formula presented.) equation in the DLR k−ε turbulent model as an example, the ma...