The course begins with the basics of compressible fluid dynamics, including governing equations, thermodynamic context and characteristic parameters. The next large block of lectures covers quasi-one-dimensional flow, followed by a discussion of disturbances and unsteady flows. The second half of the course comprises gas dynamic discontinuities, including shock waves and detonations, and concludes with another large block dealing with two-dimensional flows, both linear and non-linear.
This course develops the theory and design of hydrofoil sections, including lifting and thickness problems for sub-cavitating sections, unsteady flow problems, and computer-aided design of low drag cavitation-free sections. It also covers lifting line and lifting surface theory with applications to hydrofoil craft, rudder, control surface, propeller and wind turbine rotor design. Other topics include computer-aided design of wake adapted propellers, steady and unsteady propeller thrust and torque; performance analysis and design of wind turbine rotors in steady and stochastic wind; and numerical principles of vortex lattice and lifting surface panel methods. Projects illustrate the development of computational methods for lifting, propeller and wind turbine flows, and use of state-of-the-art simulation methods for lifting, propulsion and wind turbine applications.
Study of condensed matter systems where interactions between electrons play an important role. Topics vary depending on lecturer but may include low-dimension magnetic and electronic systems, disorder and quantum transport, magnetic impurities (the Kondo problem), quantum spin systems, the Hubbard model and high temperature superconductors. Topics are chosen to illustrate the application of diagrammatic techniques, field theory approaches, and renormalization group methods in condensed matter physics. In this course we shall develop theoretical methods suitable for the description of the many-body phenomena, such as Hamiltonian second-quantized operator formalism, Greens functions, path integral, functional integral, and the quantum kinetic equation. The concepts to be introduced include, but are not limited to, the random phase approximation, the mean field theory (aka saddle-point, or semiclassical approximation), the tunneling dynamics in imaginary time, instantons, Berry phase, coherent state path integral, renormalization group.
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