Problem 2: The Shallow Water Model

(1) Formulate a hypothesis: what phase speed do you expect for a Kelvin wave? Why?

(2) Simulate a Kelvin wave using the model provided. You can either find the phase speed using a Hovmöller diagram, or track one of the peaks of the waves in the 3-dimensional numerical output of the simulation.

(3) Report the phase speed you found supported by relevant figures. Did the phase speed meet your expectation? Why/why not?

1 This problem set contains 6 problems, and your final score will be based on the 4 problems on which you earned the highest scores.

2 You will be provided with the Jupyter Notebook code which you can use to simulate surface gravity waves.

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