Implicit numerical solution of unsteady incompressible flow with mixed heat transfer using Jameson method on unstructured grid

In this paper the governing equation for incompressible flow with heat transfer are solved numerically using artificial compressibility method. The finite volume method was used to solve the governing equation with Jameson’s method on triangular unstructured grid. In order to stabilize the solution a blend of the second and fourth differences of conserved variable used in order to prevent the oscillations. An implicit method with second order accuracy was used to time integration. In order to solve the obtained equation at each time step an artificial time step and the forth order explicit runge-kutta has been used. In order to ensure the accuracy of obtained results independent of the grid size the obtained results has been compared with the standard test cases in the literature and indicated a good agreement. Comparison of results indicated that the method used in the numerical solution of incompressible flow has a desirable accuracy and convergence rate.