USER MANUAL SWAN Cycle III version 40.72A

USER MANUAL SWAN Cycle III version 40.72A USER MANUAL SWAN Cycle III version 40.72A

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60 Chapter 4 set-up is zero in the deepest point in the computational grid. The user can modify this constant by the value of [supcor]. The user can thus impose a set-up in any one point (and only one) in the computational grid by first running SWAN, then reading the set-up in that point and adding or subtracting the required value of [supcor] (in m; positive if the set-up has to rise). Default: [supcor]=0. DIFFRACtion [idiffr] [smpar] [smnum] [cgmod] CANNOT BE USED IN CASE OF UNSTRUCTURED GRIDS. If this optional command is given, the diffraction is included in the wave computation. But the diffraction approximation in SWAN does not properly handle diffraction in harbours or in front of reflecting obstacles (see Scientific/Technical documentation). Behind breakwaters with a down-wave beach, the SWAN results seem reasonable. The spatial resolution near (the tip of) the diffraction obstacle should be 1/5 to 1/10 of the dominant wave length. Without extra measures, the diffraction computations with SWAN often converge poorly or not at all. Two measures can be taken: 1. (RECOMMENDED) The user can request under-relaxation. See command NUMERIC parameter [alpha] and Scientific/Technical documentation (Eq. (3.31)). Very limited experience suggests [alpha] = 0.01. 2. Alternatively, the user can request smoothing of the wave field for the computation of the diffraction parameter (the wave field remains intact for all other computations and output). This is done with a repeated convolution filtering. The mother filter is E n i,j = E n−1 i,j − a [E i−1,j + E i,j−1 − 4E i,j + E i+1,j + E i,j+1 ] n−1 For a = 0.2 (recommended), the final width of the filter is ε x = 1 2√ 3n∆x (in x−direction and similarly in y−direction) and n is the number of repetitions (see Scientific/Technical documentation, Eq. (2.100)). [idiffr] [smpar] [smnum] indicates the use of diffraction. If [idiffr]=0 then no diffraction is taken into account. Default: [idiffr]=1. smoothing parameter for the calculation of ∇ · √E tot . During every smoothing step all grid points exchange [smpar] times the energy with their neighbours. Note that [smpar] is parameter a in the above text. Default: [smpar] = 0. number of smoothing steps (n in the above text). For a = 0.2, it should be

Description of commands 61 [cgmod] approximately equal to ⌊ 4ε2 x ⌋. 3∆x 2 Default: [smnum] = 0. adaption of propagation velocities in geographic space due to diffraction. If [cgmod]=0 then no adaption. Default: [cgmod]=1. | WINDGrowth | | | | QUADrupl | | | | WCAPping | OFF < > | BREaking | | | | REFrac | | | | FSHift | | | | BNDCHK | With this optional command the user can change the default inclusion of various physical processes (e.g. for research purposes). This command is not recommended for operational use. WINDGROWTH switches off wind growth (in commands GEN1, GEN2 and GEN3). QUADRUPL switches off quadruplet wave-wave interactions (in command GEN3). WCAPPING switches off whitecapping (in command GEN3). BREAKING switches off depth-induced breaking dissipation. Caution: wave heights may diverge in very shallow water. REFRAC switches off refraction (action transport in θ−direction). FSHIFT switches off frequency shifting in frequency space (action transport in σ−space). BNDCHK switches off the checking of the difference between imposed and computed significant wave height at the boundary of the computational grid (see also command SET). 4.5.5 Numerics

Description of commands 61<br />

[cgmod]<br />

approximately equal to ⌊ 4ε2 x<br />

⌋.<br />

3∆x 2<br />

Default: [smnum] = 0.<br />

adaption of propagation velocities in geographic space due to diffraction.<br />

If [cgmod]=0 then no adaption.<br />

Default: [cgmod]=1.<br />

| WINDGrowth |<br />

| |<br />

| QUADrupl |<br />

| |<br />

| WCAPping |<br />

OFF < ><br />

| BREaking |<br />

| |<br />

| REFrac |<br />

| |<br />

| FSHift |<br />

| |<br />

| BNDCHK |<br />

With this optional command the user can change the default inclusion of various physical<br />

processes (e.g. for research purposes). This command is not recommended for operational<br />

use.<br />

WINDGROWTH switches off wind growth (in commands GEN1, GEN2 and GEN3).<br />

QUADRUPL switches off quadruplet wave-wave interactions (in command GEN3).<br />

WCAPPING switches off whitecapping (in command GEN3).<br />

BREAKING switches off depth-induced breaking dissipation. Caution: wave heights may<br />

diverge in very shallow water.<br />

REFRAC switches off refraction (action transport in θ−direction).<br />

FSHIFT switches off frequency shifting in frequency space (action transport in σ−space).<br />

BNDCHK switches off the checking of the difference between imposed and computed<br />

significant wave height at the boundary of the computational grid (see also<br />

command SET).<br />

4.5.5 Numerics

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