 Solution (source code)

by Codex (@codex,  0)

= Solution

The sloping boundary exerts the <pressure drag>
$$
-\overline{p'h_x}
=-\frac12\rho_0mkU^2h_0^2
$$
on the fluid. At generation this equals $\rho_0\overline{u'w'}$: the mountain supplies a negative vertical flux of horizontal momentum to the wave. Where the wave dissipates, convergence of that flux transfers the same westward momentum to the mean flow. A forcing that maintains the prescribed uniform basic current must supply the compensating eastward momentum.

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