10. Numerical Modelling
329
through the modifiée! wave potential function, $ and a modified wave number, K, as defined below.
$ = ^CCg)°-5 and K2 = P - gWg)0-5
(CCg)^
In the case of shallow water case, Eq. (10.5) reduces to long wave
équation.
10.6.1 Solution of MSE
Let us consider a study domain bounded by T2 with a large obstruction
defined by Ti as shown in Fig. 10.8. The boundary of the domain is assumed
to be as a part of the circle to computationally ease the imposition of the
far field boundary condition.
Fig. 10.8 Study domain for large body diffraction under long wave.
Now, it has to satisfy essentially two boundary conditions.
(a) Full/partial reflection from the obstruction bounded by Ti
(b) Radiation condition of infinity
Consider the domain into two distinct area with the démarcation indicative the inner zone Q/, that include the varying bottom contour within r2
and, the outer zone, Q/z is either of constant depth or deep water. Now,
329
through the modifiée! wave potential function, $ and a modified wave number, K, as defined below.
$ = ^CCg)°-5 and K2 = P - gWg)0-5
(CCg)^
In the case of shallow water case, Eq. (10.5) reduces to long wave
équation.
10.6.1 Solution of MSE
Let us consider a study domain bounded by T2 with a large obstruction
defined by Ti as shown in Fig. 10.8. The boundary of the domain is assumed
to be as a part of the circle to computationally ease the imposition of the
far field boundary condition.
Fig. 10.8 Study domain for large body diffraction under long wave.
Now, it has to satisfy essentially two boundary conditions.
(a) Full/partial reflection from the obstruction bounded by Ti
(b) Radiation condition of infinity
Consider the domain into two distinct area with the démarcation indicative the inner zone Q/, that include the varying bottom contour within r2
and, the outer zone, Q/z is either of constant depth or deep water. Now,