Undergraduate Prerequisites: Calculus, linear algebra, differential equations, first course in flui d mechanics - This course will prepare students in the fundamentals of the computational approach to study fluid flow problems, and will provide a deeper understanding of the physical models and governing equations of fluid dynamics. It will also present an opportunity to learn the basic skills of programming solutions to differential equations, and present an overview of essential numerical techniques. Students will develop finite difference based computer models as part of the "12 Steps" to numerically solving the laminar Navier-Stokes equations. Consistency, stability and convergence of the numerical methods will be discussed. Extensions to turbulent flows will be considered. The students will be introduced to an open source CFD code and will explore numerical solutions to problems in fluid mechanics using the code.

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