are used to dénoté discrète points in space and time, respectively. The
quantities Ax and At are allowed to be nonuniform spacings along the
traverse line and time incréments, respectively. The finite différence
forms of Equations 3-61, 3-62, and 3-63 are then given as follows:
/ ac \n + l _
.
n\l
\^‘xii+1 /2
+1
2gD?J
----------------------------------—,—
1 + K|V?+MIAt(D-J)^
where A and B are the kinematic forms of the wind stress
A = k W2 cos 6
B = k W2 sin 0
The time step specified by the ordinal number n represents a time
level at which ASX, AS^ and V are known, while n + 1 represents the
new time level for whicn the quantities AS^, AS^ and V are to be
determined.
(3-65)
(3-66)
(3-67)
given by:
(3-68)
The total water depth at the mid-interval between two time steps is
given by:
where
Se = initial setup
Sa = astronomical tide
A
SAP = atmospheric pressure setup.
3-105
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