Fluid dynamics is an application of the mathematics of partial differential equations. The core aims of this class are: deriving the equations of motion from basic physical principles, learning differential equation techniques for finding special solutions, and most importantly, interpreting such solutions in the context of understanding the science of fluids. Computer visualization will be an important accompaniment to the lectures and assigned work. The rudiments of numerical computing and graphics will be introduced through the use and modification of downloadable Matlab scripts.
The ultimate objective is to use mathematics to reveal, in a quantitive way, some everyday mysteries of the motions of liquids and gases. Why does water swirl as it drains from the bathtub? Why do radiator pipes make a lot of banging sounds? Why does a curve-ball curve?
The purpose of this meeting will be to discuss the interests of the class members, explain the computing environments, and answer general questions about the course. Registered students who miss this meeting should arrange an alternative meeting with the instructor ASAP.
potential flow hydraulic jump kelvin-helmholtz instability radially diffracting surface waves
