Abstract
Three-dimensional governing equations of the κ-ε model with the generalized curvilinear coordinates are proposed with the conservative expressions of each transport term. Dependent variables are discretized by the control volume method and the boundary conditions are formulated with several new ideas in order to improve the accuracy. The Poisson equation of the pressure is also formulated with the conservative expression of the second-order derivatives of the pressure. The continuity law of fluid is well satisfied by applying this expression. A fully-implicit scheme for the time integration is applied to the time derivative terms of the governing equations. A comparably larger time increment can be used with the computational stability through the time marching procedure.
