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This lecture introduces the fundamentals of numerical flow simulation, covering topics such as the advantages and drawbacks of computational fluid dynamics, discretization methods, practical organization of the course, and the objective of running full simulations. The instructor discusses the importance of understanding the methodology and practicing simulation techniques to become proficient in autonomous simulation. The lecture also emphasizes the challenges of solving the Navier-Stokes equations and the broad range of applications in research and engineering. Various discretization and computation methods are explored, along with practical examples and guidelines for mini-projects.