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1.2. Overview of the following chapters In Chapter 2 the formulation for the Navier-Stokes Equations and the thermodynamic models, necessary to simulate dense gas effects, are presented. Then, the numerical solvers (on structured and unstructured grids) are briefly described. Chapter 3 describes the optimization techniques used in this work. Main features of Genetic Algorithms and Gradient Based Methods are presented. An innovative way to improve the convergence velocity will be introduced. Chapter 4 presents a detailed description of the most important results achieved. The results of a transonic flow past the classical airfoil NACA0012 will be presented. Then, a flow past a blade turbine is considered. Then, the results obtained for three numerical optimizations will be described. The first one is the shape optimization of an isolated airfoil in the inviscid case. The purpose is the minimization of the drag coefficient for a symmetric airfoil. Then a multi-objective optimization is considered in order to increase the lift-to-drag ratio in different operating conditions. The second result consists in the extension of previous findings to the viscous case. The third one is the shape optimization of a turbine blade. The maximization of the efficiency is pursued by fixing the pressure jump in the turbine. Finally, a numerical study concerning the genetic algorithm convergence for dense gas flow is presented. A new approach will be introduced in order to speed up the Genetic Algorithm convergence. Chapter 5 deals with the conclusions of this work. Finally suggestions for future work are proposed. 31PDF Image | ANALYSIS AND OPTIMIZATION OF DENSE GAS FLOWS: APPLICATION TO ORGANIC RANKINE CYCLES TURBINES
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