n i v e r s i t yo fN o t r eD a m e ,I N4 6 5 5 6 ,U S A SUMMARY Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The NavierStokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity solutions are computed for Re ≤ 21,000 with a maximum absolute residuals of the governing equations that were less than 10 −10 . A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature.

SUMMARYA new fourth order compact formulation for the steady 2-D incompressible Navier-Stokes equations is presented. The formulation is in the same form of the Navier-Stokes equations such that any numerical method that solve the Navier-Stokes equations can easily be applied to this fourth order compact formulation. In particular in this work the formulation is solved with an efficient numerical method that requires the solution of tridiagonal systems using a fine grid mesh of 601×601. Using this formulation, the steady 2-D incompressible flow in a driven cavity is solved up to Reynolds number of 20,000 with fourth order spatial accuracy. Detailed solutions are presented.

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As an energy dependent country, Turkey is supplying almost all of its energy demand with imports, but it can significantly reduce its energy dependency exploiting its indigenous energy resources as much as possible. Turkey has started to notice and utilize its resources after 2005 with a serious contribution of the renewable energy law. In this study, renewable energy potential of Turkey is presented first. After that, renewable energy targets of Turkey in 2023 are mentioned. Following them, the development of renewable energy utilization in Turkey between 2005 and 2017 is given in detail, and discussed. According to the analysis results obtained regarding the 12 year-renewable energy development process of Turkey, it can be concluded that Turkey is in a good state regarding renewable energy shares in installed power capacity and power generation with the percentages 11% and 8%, respectively. However, it is still far away from its 2023 targets to be expected as 30% for power generation.