Synopsis

1-2 Equations of inviscid compressible flow including flow relative to rotating axes

3-6 Models for linear eave propagation including Stokes waves, Inertial waves, Rossby waves and simple solutions

7-10 Theories for Linear waves: Fourier Series, Fourier integrals, method of stationary phase, dispersion and group velocity. Flow past thin wings, Huyghens principle

11-12 Nonlinear Waves: method of characteristics, simple wave flows applied to one-dimensional unsteady gas flow and shallow water theory

13-15 Shock Waves: weak solutions, Rankine-Hugoniot relatins, oblique shocks, bores and hydraulic jumps

16 Flow in a slowly varying nozzle and incompressible flow in an open channel