Introduces the fundamentals of fluid mechanics, covering mass and momentum conservation, external forces, viscous stresses, and the conversion of surface integrals to volume integrals.
Introduces incompressible fluid mechanics, including Newton's 2nd law and Bernoulli's equation, with applications to Venturi tubes and mass conservation.
Covers the foundations of incompressible fluid mechanics, conservation laws, and general flow equations, with a focus on practical issues and class logistics.
Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.
Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.