123
where k and 0 are a reference wave number and wave angle. For computational purposes k
will be an averaged wave number across a grid row and 6 will be taken as the wave angle in
the absence of currents using Snells law. Further it will be assumed solely for computational
purposes that 0 is equal to 8. This gives
[a(Ctcos + U)]x j + 2tff(Ci cos6 + U) (jj
-2(Ct cos 0 + U) cos 0(k k)A
+wA + iVvA + 2V<7 () + iavV = 0 (D.15)
\o Jv o
Expanding the derivatives of £ and with a few minor manipulations of the terms the
governing equation (3.79) is obtained.
(CjCos + COAx + .'CfCos + COcosk- k)A + \ \CcosB + U
-\-V Av +
kCt(l cos2 0)A - ICCg
z
w
+ -A = 0(D.16)