28.06.2014 Views

USER MANUAL SWAN Cycle III version 40.72A

USER MANUAL SWAN Cycle III version 40.72A

USER MANUAL SWAN Cycle III version 40.72A

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

8 Chapter 2<br />

below). Directions and spherical coordinates are in degrees ( 0 ) and not in radians.<br />

For the output of wave energy the user can choose between variance (m 2 ) or energy (spatial)<br />

density (Joule/m 2 , i.e. energy per unit sea surface) and the equivalents in case of<br />

energy transport (m 3 /s or W/m, i.e. energy transport per unit length) and spectral energy<br />

density (m 2 /Hz/Degr or Js/m 2 /rad, i.e. energy per unit frequency and direction per unit<br />

sea surface area). The wave−induced stress components (obtained as spatial derivatives of<br />

wave-induced radiation stress) are always expressed in N/m 2 even if the wave energy is in<br />

terms of variance. Note that the energy density is also in Joule/m 2 in the case of spherical<br />

coordinates.<br />

<strong>SWAN</strong> operates either in a Cartesian coordinate system or in a spherical coordinate system,<br />

i.e. in a flat plane or on a spherical Earth. In the Cartesian system, all geographic<br />

locations and orientations in <strong>SWAN</strong>, e.g. for the bottom grid or for output points, are<br />

defined in one common Cartesian coordinate system with origin (0,0) by definition. This<br />

geographic origin may be chosen totally arbitrarily by the user. In the spherical system,<br />

all geographic locations and orientations in <strong>SWAN</strong>, e.g. for the bottom grid or for output<br />

points, are defined in geographic longitude and latitude. Both coordinate systems are designated<br />

in this manual as the problem coordinate system.<br />

In the input and output of <strong>SWAN</strong> the direction of wind and waves are defined according<br />

to either<br />

• the Cartesian convention, i.e. the direction to where the vector points, measured<br />

counterclockwise from the positive x−axis of this system (in degrees) or<br />

• a nautical convention (there are more such conventions), i.e. the direction where the<br />

wind or the waves come from, measured clockwise from geographic North.<br />

All other directions, such as orientation of grids, are according to the Cartesian convention!<br />

For regular grids, i.e. uniform and rectangular, Figure 4.1 (in Section 4.5) shows how the<br />

locations of the various grids are determined with respect to the problem coordinates. All<br />

grid points of curvi-linear and unstructured grids are relative to the problem coordinate<br />

system.<br />

2.6 Choice of grids, time windows and boundary /<br />

initial / first guess conditions<br />

2.6.1 Introduction<br />

Several types of grids and time window(s) need to be defined: (a) spectral grid, (b) spatial<br />

(geographic) grids and time window(s) in case of nonstationary computations.<br />

The spectral grid that need to be defined by the user is a computational spectral grid on

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!