Application of the Factor Separation (FS) technique is demonstrated with a simplified atmospheric problem with an analytical solution: the Haurwitz sea-breeze (SB) model. The synergy of chosen factors well explains a loop that the wind makes during a day at low latitudes with low friction. Only FS methodology gives the full picture of wind evolution in this case. Modelling approach The example of the FS methodology chosen is the dynamic model of the sea breeze suggested by B. Haurwitz (1947). Haurwitz (1947) set up a simple SB model in which the spatial changes and changes in air compressibility were ignored. The equations of motion are as follows: where u and v are the x and y components of the surface horizontal wind, x is the horizontal axis positive from land to water, i.e., from west to east, y is the horizontal axis parallel to the shore from south to north, Px and Py are the components of large-scale pressure gradient force, F(t) is a periodic function representing the pressure gradient between land and water that is caused by the diurnal variation of the temperature differences, f = 2Ωsinφ is the Coriolis parameter, and kf is the friction coefficient. The general pressure gradient has the following components: where ugs and vgs are the x and y components of the geostrophic wind. F(t) was chosen to be where A represents the relationship between horizontal temperature and pressure gradients, p0 is the surface pressure.
|Title of host publication||Factor Separation in the Atmosphere|
|Subtitle of host publication||Applications and Future Prospects|
|Publisher||Cambridge University Press|
|Number of pages||12|
|State||Published - 1 Jan 2011|