Meteorology 6210: Assignment 3

• 1. Determine the frequency and period of a linear internal gravity wave as defined in the notes when m is negative and k is positive. Lx=10 km and Lz=1 km. Use the following constants: density = 1km/m3; W = 1 m/s; and N = 10-2/s.

• 2. Determine and sketch the horizontal structure of the internal gravity wave in terms of w, p, u, and b at time t=0, z=0.

• 3. Determine the angle of the buoyancy oscillations in this instance. Determine the slope of (a) the ridges and troughs; (b) phase speed of ridges; and (c) group velocity at which the erergy disperses.

• 4. Sketch the 2-D structure of the internal gravity wave in terms of w, p, u, and b at time t=0.